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Transcript
```Lab 5 Torque and Angular Acceleration
Objective:
<
To observe the relationship between torque, angular acceleration and moment of inertia.
Equipment:
<
<
<
<
<
<
Rotating table
Ring and disk
Hooked weight sets
Dial caliper
Pasco Smart Pulley
Pasco Science Workshop and Computer Interface
Physical principles:
Newton’s law of motion for rotation asserts that the net torque acting on an object equals the
product of its moment of inertia and its angular acceleration.
τ =Iα
(1)
Torque is defined as the product of the component of force perpendicular to the lever arm and the
length of the lever arm.
τ = F⊥ l
(2)
The moment of inertia is defined as the product of each mass piece times the square of that mass
from the axis of rotation.
I = ∑ mi r⊥2
(3)
When an object is rotating the tangential acceleration of a point on its surface is equal to the
angular acceleration of the object times the distance of the point from the axis of rotation.
a =rα
(4)
The Experiment:
A rotating platform is accelerated by a string that is wrapped on a drum attached to it. The radius
of this drum is denoted by b and is determined as half of the diameter of the drum as measured
with the dial caliper. The string passes over a Smart Pulley and around a second pulley that
supports an accelerating mass m. The string is secured to a Force Sensor that measures the force
Lab 5 Torque and Angular Acceleration
Objective:
<
To observe the relationship between torque, angular acceleration and moment of inertia.
Equipment:
<
<
<
<
<
<
Rotating table
Ring and disk
Hooked weight sets
Dial caliper
Pasco Smart Pulley
Pasco Science Workshop and Computer Interface
Physical principles:
Newton’s law of motion for rotation asserts that the net torque acting on an object equals the
product of its moment of inertia and its angular acceleration.
τ =Iα
(1)
Torque is defined as the product of the component of force perpendicular to the lever arm and the
length of the lever arm.
τ = F⊥ l
(2)
The moment of inertia is defined as the product of each mass piece times the square of that mass
from the axis of rotation.
I = ∑ mi r⊥2
(3)
When an object is rotating the tangential acceleration of a point on its surface is equal to the
angular acceleration of the object times the distance of the point from the axis of rotation.
a =rα
(4)
The Experiment:
A rotating platform is accelerated by a string that is wrapped on a drum attached to it. The radius
of this drum is denoted by b and is determined as half of the diameter of the drum as measured
with the dial caliper. The string passes over a Smart Pulley and around a second pulley that
supports an accelerating mass m. The string is secured to a Force Sensor that measures the force
Lab 5 Torque and Angular Acceleration
Objective:
<
To observe the relationship between torque, angular acceleration and moment of inertia.
Equipment:
<
<
<
<
<
<
Rotating table
Ring and disk
Hooked weight sets
Dial caliper
Pasco Smart Pulley
Pasco Science Workshop and Computer Interface
Physical principles:
Newton’s law of motion for rotation asserts that the net torque acting on an object equals the
product of its moment of inertia and its angular acceleration.
τ =Iα
(1)
Torque is defined as the product of the component of force perpendicular to the lever arm and the
length of the lever arm.
τ = F⊥ l
(2)
The moment of inertia is defined as the product of each mass piece times the square of that mass
from the axis of rotation.
I = ∑ mi r⊥2
(3)
When an object is rotating the tangential acceleration of a point on its surface is equal to the
angular acceleration of the object times the distance of the point from the axis of rotation.
a =rα
(4)
The Experiment:
A rotating platform is accelerated by a string that is wrapped on a drum attached to it. The radius
of this drum is denoted by b and is determined as half of the diameter of the drum as measured
with the dial caliper. The string passes over a Smart Pulley and around a second pulley that
supports an accelerating mass m. The string is secured to a Force Sensor that measures the force
Lab 5 Torque and Angular Acceleration
Objective:
<
To observe the relationship between torque, angular acceleration and moment of inertia.
Equipment:
<
<
<
<
<
<
Rotating table
Ring and disk
Hooked weight sets
Dial caliper
Pasco Smart Pulley
Pasco Science Workshop and Computer Interface
Physical principles:
Newton’s law of motion for rotation asserts that the net torque acting on an object equals the
product of its moment of inertia and its angular acceleration.
τ =Iα
(1)
Torque is defined as the product of the component of force perpendicular to the lever arm and the
length of the lever arm.
τ = F⊥ l
(2)
The moment of inertia is defined as the product of each mass piece times the square of that mass
from the axis of rotation.
I = ∑ mi r⊥2
(3)
When an object is rotating the tangential acceleration of a point on its surface is equal to the
angular acceleration of the object times the distance of the point from the axis of rotation.
a =rα
(4)
The Experiment:
A rotating platform is accelerated by a string that is wrapped on a drum attached to it. The radius
of this drum is denoted by b and is determined as half of the diameter of the drum as measured
with the dial caliper. The string passes over a Smart Pulley and around a second pulley that
supports an accelerating mass m. The string is secured to a Force Sensor that measures the force
Lab 5 Torque and Angular Acceleration
Objective:
<
To observe the relationship between torque, angular acceleration and moment of inertia.
Equipment:
<
<
<
<
<
<
Rotating table
Ring and disk
Hooked weight sets
Dial caliper
Pasco Smart Pulley
Pasco Science Workshop and Computer Interface
Physical principles:
Newton’s law of motion for rotation asserts that the net torque acting on an object equals the
product of its moment of inertia and its angular acceleration.
τ =Iα
(1)
Torque is defined as the product of the component of force perpendicular to the lever arm and the
length of the lever arm.
τ = F⊥ l
(2)
The moment of inertia is defined as the product of each mass piece times the square of that mass
from the axis of rotation.
I = ∑ mi r⊥2
(3)
When an object is rotating the tangential acceleration of a point on its surface is equal to the
angular acceleration of the object times the distance of the point from the axis of rotation.
a =rα
(4)
The Experiment:
A rotating platform is accelerated by a string that is wrapped on a drum attached to it. The radius
of this drum is denoted by b and is determined as half of the diameter of the drum as measured
with the dial caliper. The string passes over a Smart Pulley and around a second pulley that
supports an accelerating mass m. The string is secured to a Force Sensor that measures the force
Lab 5 Torque and Angular Acceleration
Objective:
<
To observe the relationship between torque, angular acceleration and moment of inertia.
Equipment:
<
<
<
<
<
<
Rotating table
Ring and disk
Hooked weight sets
Dial caliper
Pasco Smart Pulley
Pasco Science Workshop and Computer Interface
Physical principles:
Newton’s law of motion for rotation asserts that the net torque acting on an object equals the
product of its moment of inertia and its angular acceleration.
τ =Iα
(1)
Torque is defined as the product of the component of force perpendicular to the lever arm and the
length of the lever arm.
τ = F⊥ l
(2)
The moment of inertia is defined as the product of each mass piece times the square of that mass
from the axis of rotation.
I = ∑ mi r⊥2
(3)
When an object is rotating the tangential acceleration of a point on its surface is equal to the
angular acceleration of the object times the distance of the point from the axis of rotation.
a =rα
(4)
The Experiment:
A rotating platform is accelerated by a string that is wrapped on a drum attached to it. The radius
of this drum is denoted by b and is determined as half of the diameter of the drum as measured
with the dial caliper. The string passes over a Smart Pulley and around a second pulley that
supports an accelerating mass m. The string is secured to a Force Sensor that measures the force
Lab 5 Torque and Angular Acceleration
Objective:
<
To observe the relationship between torque, angular acceleration and moment of inertia.
Equipment:
<
<
<
<
<
<
Rotating table
Ring and disk
Hooked weight sets
Dial caliper
Pasco Smart Pulley
Pasco Science Workshop and Computer Interface
Physical principles:
Newton’s law of motion for rotation asserts that the net torque acting on an object equals the
product of its moment of inertia and its angular acceleration.
τ =Iα
(1)
Torque is defined as the product of the component of force perpendicular to the lever arm and the
length of the lever arm.
τ = F⊥ l
(2)
The moment of inertia is defined as the product of each mass piece times the square of that mass
from the axis of rotation.
I = ∑ mi r⊥2
(3)
When an object is rotating the tangential acceleration of a point on its surface is equal to the
angular acceleration of the object times the distance of the point from the axis of rotation.
a =rα
(4)
The Experiment:
A rotating platform is accelerated by a string that is wrapped on a drum attached to it. The radius
of this drum is denoted by b and is determined as half of the diameter of the drum as measured
with the dial caliper. The string passes over a Smart Pulley and around a second pulley that
supports an accelerating mass m. The string is secured to a Force Sensor that measures the force
Lab 5 Torque and Angular Acceleration
Objective:
<
To observe the relationship between torque, angular acceleration and moment of inertia.
Equipment:
<
<
<
<
<
<
Rotating table
Ring and disk
Hooked weight sets
Dial caliper
Pasco Smart Pulley
Pasco Science Workshop and Computer Interface
Physical principles:
Newton’s law of motion for rotation asserts that the net torque acting on an object equals the
product of its moment of inertia and its angular acceleration.
τ =Iα
(1)
Torque is defined as the product of the component of force perpendicular to the lever arm and the
length of the lever arm.
τ = F⊥ l
(2)
The moment of inertia is defined as the product of each mass piece times the square of that mass
from the axis of rotation.
I = ∑ mi r⊥2
(3)
When an object is rotating the tangential acceleration of a point on its surface is equal to the
angular acceleration of the object times the distance of the point from the axis of rotation.
a =rα
(4)
The Experiment:
A rotating platform is accelerated by a string that is wrapped on a drum attached to it. The radius
of this drum is denoted by b and is determined as half of the diameter of the drum as measured
with the dial caliper. The string passes over a Smart Pulley and around a second pulley that
supports an accelerating mass m. The string is secured to a Force Sensor that measures the force
Lab 5 Torque and Angular Acceleration
Objective:
<
To observe the relationship between torque, angular acceleration and moment of inertia.
Equipment:
<
<
<
<
<
<
Rotating table
Ring and disk
Hooked weight sets
Dial caliper
Pasco Smart Pulley
Pasco Science Workshop and Computer Interface
Physical principles:
Newton’s law of motion for rotation asserts that the net torque acting on an object equals the
product of its moment of inertia and its angular acceleration.
τ =Iα
(1)
Torque is defined as the product of the component of force perpendicular to the lever arm and the
length of the lever arm.
τ = F⊥ l
(2)
The moment of inertia is defined as the product of each mass piece times the square of that mass
from the axis of rotation.
I = ∑ mi r⊥2
(3)
When an object is rotating the tangential acceleration of a point on its surface is equal to the
angular acceleration of the object times the distance of the point from the axis of rotation.
a =rα
(4)
The Experiment:
A rotating platform is accelerated by a string that is wrapped on a drum attached to it. The radius
of this drum is denoted by b and is determined as half of the diameter of the drum as measured
with the dial caliper. The string passes over a Smart Pulley and around a second pulley that
supports an accelerating mass m. The string is secured to a Force Sensor that measures the force
Lab 5 Torque and Angular Acceleration
Objective:
<
To observe the relationship between torque, angular acceleration and moment of inertia.
Equipment:
<
<
<
<
<
<
Rotating table
Ring and disk
Hooked weight sets
Dial caliper
Pasco Smart Pulley
Pasco Science Workshop and Computer Interface
Physical principles:
Newton’s law of motion for rotation asserts that the net torque acting on an object equals the
product of its moment of inertia and its angular acceleration.
τ =Iα
(1)
Torque is defined as the product of the component of force perpendicular to the lever arm and the
length of the lever arm.
τ = F⊥ l
(2)
The moment of inertia is defined as the product of each mass piece times the square of that mass
from the axis of rotation.
I = ∑ mi r⊥2
(3)
When an object is rotating the tangential acceleration of a point on its surface is equal to the
angular acceleration of the object times the distance of the point from the axis of rotation.
a =rα
(4)
The Experiment:
A rotating platform is accelerated by a string that is wrapped on a drum attached to it. The radius
of this drum is denoted by b and is determined as half of the diameter of the drum as measured
with the dial caliper. The string passes over a Smart Pulley and around a second pulley that
supports an accelerating mass m. The string is secured to a Force Sensor that measures the force
Lab 5 Torque and Angular Acceleration
Objective:
<
To observe the relationship between torque, angular acceleration and moment of inertia.
Equipment:
<
<
<
<
<
<
Rotating table
Ring and disk
Hooked weight sets
Dial caliper
Pasco Smart Pulley
Pasco Science Workshop and Computer Interface
Physical principles:
Newton’s law of motion for rotation asserts that the net torque acting on an object equals the
product of its moment of inertia and its angular acceleration.
τ =Iα
(1)
Torque is defined as the product of the component of force perpendicular to the lever arm and the
length of the lever arm.
τ = F⊥ l
(2)
The moment of inertia is defined as the product of each mass piece times the square of that mass
from the axis of rotation.
I = ∑ mi r⊥2
(3)
When an object is rotating the tangential acceleration of a point on its surface is equal to the
angular acceleration of the object times the distance of the point from the axis of rotation.
a =rα
(4)
The Experiment:
A rotating platform is accelerated by a string that is wrapped on a drum attached to it. The radius
of this drum is denoted by b and is determined as half of the diameter of the drum as measured
with the dial caliper. The string passes over a Smart Pulley and around a second pulley that
supports an accelerating mass m. The string is secured to a Force Sensor that measures the force
Lab 5 Torque and Angular Acceleration
Objective:
<
To observe the relationship between torque, angular acceleration and moment of inertia.
Equipment:
<
<
<
<
<
<
Rotating table
Ring and disk
Hooked weight sets
Dial caliper
Pasco Smart Pulley
Pasco Science Workshop and Computer Interface
Physical principles:
Newton’s law of motion for rotation asserts that the net torque acting on an object equals the
product of its moment of inertia and its angular acceleration.
τ =Iα
(1)
Torque is defined as the product of the component of force perpendicular to the lever arm and the
length of the lever arm.
τ = F⊥ l
(2)
The moment of inertia is defined as the product of each mass piece times the square of that mass
from the axis of rotation.
I = ∑ mi r⊥2
(3)
When an object is rotating the tangential acceleration of a point on its surface is equal to the
angular acceleration of the object times the distance of the point from the axis of rotation.
a =rα
(4)
The Experiment:
A rotating platform is accelerated by a string that is wrapped on a drum attached to it. The radius
of this drum is denoted by b and is determined as half of the diameter of the drum as measured
with the dial caliper. The string passes over a Smart Pulley and around a second pulley that
supports an accelerating mass m. The string is secured to a Force Sensor that measures the force
Lab 5 Torque and Angular Acceleration
Objective:
<
To observe the relationship between torque, angular acceleration and moment of inertia.
Equipment:
<
<
<
<
<
<
Rotating table
Ring and disk
Hooked weight sets
Dial caliper
Pasco Smart Pulley
Pasco Science Workshop and Computer Interface
Physical principles:
Newton’s law of motion for rotation asserts that the net torque acting on an object equals the
product of its moment of inertia and its angular acceleration.
τ =Iα
(1)
Torque is defined as the product of the component of force perpendicular to the lever arm and the
length of the lever arm.
τ = F⊥ l
(2)
The moment of inertia is defined as the product of each mass piece times the square of that mass
from the axis of rotation.
I = ∑ mi r⊥2
(3)
When an object is rotating the tangential acceleration of a point on its surface is equal to the
angular acceleration of the object times the distance of the point from the axis of rotation.
a =rα
(4)
The Experiment:
A rotating platform is accelerated by a string that is wrapped on a drum attached to it. The radius
of this drum is denoted by b and is determined as half of the diameter of the drum as measured
with the dial caliper. The string passes over a Smart Pulley and around a second pulley that
supports an accelerating mass m. The string is secured to a Force Sensor that measures the force
Lab 5 Torque and Angular Acceleration
Objective:
<
To observe the relationship between torque, angular acceleration and moment of inertia.
Equipment:
<
<
<
<
<
<
Rotating table
Ring and disk
Hooked weight sets
Dial caliper
Pasco Smart Pulley
Pasco Science Workshop and Computer Interface
Physical principles:
Newton’s law of motion for rotation asserts that the net torque acting on an object equals the
product of its moment of inertia and its angular acceleration.
τ =Iα
(1)
Torque is defined as the product of the component of force perpendicular to the lever arm and the
length of the lever arm.
τ = F⊥ l
(2)
The moment of inertia is defined as the product of each mass piece times the square of that mass
from the axis of rotation.
I = ∑ mi r⊥2
(3)
When an object is rotating the tangential acceleration of a point on its surface is equal to the
angular acceleration of the object times the distance of the point from the axis of rotation.
a =rα
(4)
The Experiment:
A rotating platform is accelerated by a string that is wrapped on a drum attached to it. The radius
of this drum is denoted by b and is determined as half of the diameter of the drum as measured
with the dial caliper. The string passes over a Smart Pulley and around a second pulley that
supports an accelerating mass m. The string is secured to a Force Sensor that measures the force
Lab 5 Torque and Angular Acceleration
Objective:
<
To observe the relationship between torque, angular acceleration and moment of inertia.
Equipment:
<
<
<
<
<
<
Rotating table
Ring and disk
Hooked weight sets
Dial caliper
Pasco Smart Pulley
Pasco Science Workshop and Computer Interface
Physical principles:
Newton’s law of motion for rotation asserts that the net torque acting on an object equals the
product of its moment of inertia and its angular acceleration.
τ =Iα
(1)
Torque is defined as the product of the component of force perpendicular to the lever arm and the
length of the lever arm.
τ = F⊥ l
(2)
The moment of inertia is defined as the product of each mass piece times the square of that mass
from the axis of rotation.
I = ∑ mi r⊥2
(3)
When an object is rotating the tangential acceleration of a point on its surface is equal to the
angular acceleration of the object times the distance of the point from the axis of rotation.
a =rα
(4)
The Experiment:
A rotating platform is accelerated by a string that is wrapped on a drum attached to it. The radius
of this drum is denoted by b and is determined as half of the diameter of the drum as measured
with the dial caliper. The string passes over a Smart Pulley and around a second pulley that
supports an accelerating mass m. The string is secured to a Force Sensor that measures the force
Lab 5 Torque and Angular Acceleration
Objective:
<
To observe the relationship between torque, angular acceleration and moment of inertia.
Equipment:
<
<
<
<
<
<
Rotating table
Ring and disk
Hooked weight sets
Dial caliper
Pasco Smart Pulley
Pasco Science Workshop and Computer Interface
Physical principles:
Newton’s law of motion for rotation asserts that the net torque acting on an object equals the
product of its moment of inertia and its angular acceleration.
τ =Iα
(1)
Torque is defined as the product of the component of force perpendicular to the lever arm and the
length of the lever arm.
τ = F⊥ l
(2)
The moment of inertia is defined as the product of each mass piece times the square of that mass
from the axis of rotation.
I = ∑ mi r⊥2
(3)
When an object is rotating the tangential acceleration of a point on its surface is equal to the
angular acceleration of the object times the distance of the point from the axis of rotation.
a =rα
(4)
The Experiment:
A rotating platform is accelerated by a string that is wrapped on a drum attached to it. The radius
of this drum is denoted by b and is determined as half of the diameter of the drum as measured
with the dial caliper. The string passes over a Smart Pulley and around a second pulley that
supports an accelerating mass m. The string is secured to a Force Sensor that measures the force
Lab 5 Torque and Angular Acceleration
Objective:
<
To observe the relationship between torque, angular acceleration and moment of inertia.
Equipment:
<
<
<
<
<
<
Rotating table
Ring and disk
Hooked weight sets
Dial caliper
Pasco Smart Pulley
Pasco Science Workshop and Computer Interface
Physical principles:
Newton’s law of motion for rotation asserts that the net torque acting on an object equals the
product of its moment of inertia and its angular acceleration.
τ =Iα
(1)
Torque is defined as the product of the component of force perpendicular to the lever arm and the
length of the lever arm.
τ = F⊥ l
(2)
The moment of inertia is defined as the product of each mass piece times the square of that mass
from the axis of rotation.
I = ∑ mi r⊥2
(3)
When an object is rotating the tangential acceleration of a point on its surface is equal to the
angular acceleration of the object times the distance of the point from the axis of rotation.
a =rα
(4)
The Experiment:
A rotating platform is accelerated by a string that is wrapped on a drum attached to it. The radius
of this drum is denoted by b and is determined as half of the diameter of the drum as measured
with the dial caliper. The string passes over a Smart Pulley and around a second pulley that
supports an accelerating mass m. The string is secured to a Force Sensor that measures the force
Lab 5 Torque and Angular Acceleration
Objective:
<
To observe the relationship between torque, angular acceleration and moment of inertia.
Equipment:
<
<
<
<
<
<
Rotating table
Ring and disk
Hooked weight sets
Dial caliper
Pasco Smart Pulley
Pasco Science Workshop and Computer Interface
Physical principles:
Newton’s law of motion for rotation asserts that the net torque acting on an object equals the
product of its moment of inertia and its angular acceleration.
τ =Iα
(1)
Torque is defined as the product of the component of force perpendicular to the lever arm and the
length of the lever arm.
τ = F⊥ l
(2)
The moment of inertia is defined as the product of each mass piece times the square of that mass
from the axis of rotation.
I = ∑ mi r⊥2
(3)
When an object is rotating the tangential acceleration of a point on its surface is equal to the
angular acceleration of the object times the distance of the point from the axis of rotation.
a =rα
(4)
The Experiment:
A rotating platform is accelerated by a string that is wrapped on a drum attached to it. The radius
of this drum is denoted by b and is determined as half of the diameter of the drum as measured
with the dial caliper. The string passes over a Smart Pulley and around a second pulley that
supports an accelerating mass m. The string is secured to a Force Sensor that measures the force
Lab 5 Torque and Angular Acceleration
Objective:
<
To observe the relationship between torque, angular acceleration and moment of inertia.
Equipment:
<
<
<
<
<
<
Rotating table
Ring and disk
Hooked weight sets
Dial caliper
Pasco Smart Pulley
Pasco Science Workshop and Computer Interface
Physical principles:
Newton’s law of motion for rotation asserts that the net torque acting on an object equals the
product of its moment of inertia and its angular acceleration.
τ =Iα
(1)
Torque is defined as the product of the component of force perpendicular to the lever arm and the
length of the lever arm.
τ = F⊥ l
(2)
The moment of inertia is defined as the product of each mass piece times the square of that mass
from the axis of rotation.
I = ∑ mi r⊥2
(3)
When an object is rotating the tangential acceleration of a point on its surface is equal to the
angular acceleration of the object times the distance of the point from the axis of rotation.
a =rα
(4)
The Experiment:
A rotating platform is accelerated by a string that is wrapped on a drum attached to it. The radius
of this drum is denoted by b and is determined as half of the diameter of the drum as measured
with the dial caliper. The string passes over a Smart Pulley and around a second pulley that
supports an accelerating mass m. The string is secured to a Force Sensor that measures the force
Lab 5 Torque and Angular Acceleration
Objective:
<
To observe the relationship between torque, angular acceleration and moment of inertia.
Equipment:
<
<
<
<
<
<
Rotating table
Ring and disk
Hooked weight sets
Dial caliper
Pasco Smart Pulley
Pasco Science Workshop and Computer Interface
Physical principles:
Newton’s law of motion for rotation asserts that the net torque acting on an object equals the
product of its moment of inertia and its angular acceleration.
τ =Iα
(1)
Torque is defined as the product of the component of force perpendicular to the lever arm and the
length of the lever arm.
τ = F⊥ l
(2)
The moment of inertia is defined as the product of each mass piece times the square of that mass
from the axis of rotation.
I = ∑ mi r⊥2
(3)
When an object is rotating the tangential acceleration of a point on its surface is equal to the
angular acceleration of the object times the distance of the point from the axis of rotation.
a =rα
(4)
The Experiment:
A rotating platform is accelerated by a string that is wrapped on a drum attached to it. The radius
of this drum is denoted by b and is determined as half of the diameter of the drum as measured
with the dial caliper. The string passes over a Smart Pulley and around a second pulley that
supports an accelerating mass m. The string is secured to a Force Sensor that measures the force
Lab 5 Torque and Angular Acceleration
Objective:
<
To observe the relationship between torque, angular acceleration and moment of inertia.
Equipment:
<
<
<
<
<
<
Rotating table
Ring and disk
Hooked weight sets
Dial caliper
Pasco Smart Pulley
Pasco Science Workshop and Computer Interface
Physical principles:
Newton’s law of motion for rotation asserts that the net torque acting on an object equals the
product of its moment of inertia and its angular acceleration.
τ =Iα
(1)
Torque is defined as the product of the component of force perpendicular to the lever arm and the
length of the lever arm.
τ = F⊥ l
(2)
The moment of inertia is defined as the product of each mass piece times the square of that mass
from the axis of rotation.
I = ∑ mi r⊥2
(3)
When an object is rotating the tangential acceleration of a point on its surface is equal to the
angular acceleration of the object times the distance of the point from the axis of rotation.
a =rα
(4)
The Experiment:
A rotating platform is accelerated by a string that is wrapped on a drum attached to it. The radius
of this drum is denoted by b and is determined as half of the diameter of the drum as measured
with the dial caliper. The string passes over a Smart Pulley and around a second pulley that
supports an accelerating mass m. The string is secured to a Force Sensor that measures the force
Lab 5 Torque and Angular Acceleration
Objective:
<
To observe the relationship between torque, angular acceleration and moment of inertia.
Equipment:
<
<
<
<
<
<
Rotating table
Ring and disk
Hooked weight sets
Dial caliper
Pasco Smart Pulley
Pasco Science Workshop and Computer Interface
Physical principles:
Newton’s law of motion for rotation asserts that the net torque acting on an object equals the
product of its moment of inertia and its angular acceleration.
τ =Iα
(1)
Torque is defined as the product of the component of force perpendicular to the lever arm and the
length of the lever arm.
τ = F⊥ l
(2)
The moment of inertia is defined as the product of each mass piece times the square of that mass
from the axis of rotation.
I = ∑ mi r⊥2
(3)
When an object is rotating the tangential acceleration of a point on its surface is equal to the
angular acceleration of the object times the distance of the point from the axis of rotation.
a =rα
(4)
The Experiment:
A rotating platform is accelerated by a string that is wrapped on a drum attached to it. The radius
of this drum is denoted by b and is determined as half of the diameter of the drum as measured
with the dial caliper. The string passes over a Smart Pulley and around a second pulley that
supports an accelerating mass m. The string is secured to a Force Sensor that measures the force
Lab 5 Torque and Angular Acceleration
Objective:
<
To observe the relationship between torque, angular acceleration and moment of inertia.
Equipment:
<
<
<
<
<
<
Rotating table
Ring and disk
Hooked weight sets
Dial caliper
Pasco Smart Pulley
Pasco Science Workshop and Computer Interface
Physical principles:
Newton’s law of motion for rotation asserts that the net torque acting on an object equals the
product of its moment of inertia and its angular acceleration.
τ =Iα
(1)
Torque is defined as the product of the component of force perpendicular to the lever arm and the
length of the lever arm.
τ = F⊥ l
(2)
The moment of inertia is defined as the product of each mass piece times the square of that mass
from the axis of rotation.
I = ∑ mi r⊥2
(3)
When an object is rotating the tangential acceleration of a point on its surface is equal to the
angular acceleration of the object times the distance of the point from the axis of rotation.
a =rα
(4)
The Experiment:
A rotating platform is accelerated by a string that is wrapped on a drum attached to it. The radius
of this drum is denoted by b and is determined as half of the diameter of the drum as measured
with the dial caliper. The string passes over a Smart Pulley and around a second pulley that
supports an accelerating mass m. The string is secured to a Force Sensor that measures the force
Lab 5 Torque and Angular Acceleration
Objective:
<
To observe the relationship between torque, angular acceleration and moment of inertia.
Equipment:
<
<
<
<
<
<
Rotating table
Ring and disk
Hooked weight sets
Dial caliper
Pasco Smart Pulley
Pasco Science Workshop and Computer Interface
Physical principles:
Newton’s law of motion for rotation asserts that the net torque acting on an object equals the
product of its moment of inertia and its angular acceleration.
τ =Iα
(1)
Torque is defined as the product of the component of force perpendicular to the lever arm and the
length of the lever arm.
τ = F⊥ l
(2)
The moment of inertia is defined as the product of each mass piece times the square of that mass
from the axis of rotation.
I = ∑ mi r⊥2
(3)
When an object is rotating the tangential acceleration of a point on its surface is equal to the
angular acceleration of the object times the distance of the point from the axis of rotation.
a =rα
(4)
The Experiment:
A rotating platform is accelerated by a string that is wrapped on a drum attached to it. The radius
of this drum is denoted by b and is determined as half of the diameter of the drum as measured
with the dial caliper. The string passes over a Smart Pulley and around a second pulley that
supports an accelerating mass m. The string is secured to a Force Sensor that measures the force
Lab 5 Torque and Angular Acceleration
Objective:
<
To observe the relationship between torque, angular acceleration and moment of inertia.
Equipment:
<
<
<
<
<
<
Rotating table
Ring and disk
Hooked weight sets
Dial caliper
Pasco Smart Pulley
Pasco Science Workshop and Computer Interface
Physical principles:
Newton’s law of motion for rotation asserts that the net torque acting on an object equals the
product of its moment of inertia and its angular acceleration.
τ =Iα
(1)
Torque is defined as the product of the component of force perpendicular to the lever arm and the
length of the lever arm.
τ = F⊥ l
(2)
The moment of inertia is defined as the product of each mass piece times the square of that mass
from the axis of rotation.
I = ∑ mi r⊥2
(3)
When an object is rotating the tangential acceleration of a point on its surface is equal to the
angular acceleration of the object times the distance of the point from the axis of rotation.
a =rα
(4)
The Experiment:
A rotating platform is accelerated by a string that is wrapped on a drum attached to it. The radius
of this drum is denoted by b and is determined as half of the diameter of the drum as measured
with the dial caliper. The string passes over a Smart Pulley and around a second pulley that
supports an accelerating mass m. The string is secured to a Force Sensor that measures the force
Lab 5 Torque and Angular Acceleration
Objective:
<
To observe the relationship between torque, angular acceleration and moment of inertia.
Equipment:
<
<
<
<
<
<
Rotating table
Ring and disk
Hooked weight sets
Dial caliper
Pasco Smart Pulley
Pasco Science Workshop and Computer Interface
Physical principles:
Newton’s law of motion for rotation asserts that the net torque acting on an object equals the
product of its moment of inertia and its angular acceleration.
τ =Iα
(1)
Torque is defined as the product of the component of force perpendicular to the lever arm and the
length of the lever arm.
τ = F⊥ l
(2)
The moment of inertia is defined as the product of each mass piece times the square of that mass
from the axis of rotation.
I = ∑ mi r⊥2
(3)
When an object is rotating the tangential acceleration of a point on its surface is equal to the
angular acceleration of the object times the distance of the point from the axis of rotation.
a =rα
(4)
The Experiment:
A rotating platform is accelerated by a string that is wrapped on a drum attached to it. The radius
of this drum is denoted by b and is determined as half of the diameter of the drum as measured
with the dial caliper. The string passes over a Smart Pulley and around a second pulley that
supports an accelerating mass m. The string is secured to a Force Sensor that measures the force
Lab 5 Torque and Angular Acceleration
Objective:
<
To observe the relationship between torque, angular acceleration and moment of inertia.
Equipment:
<
<
<
<
<
<
Rotating table
Ring and disk
Hooked weight sets
Dial caliper
Pasco Smart Pulley
Pasco Science Workshop and Computer Interface
Physical principles:
Newton’s law of motion for rotation asserts that the net torque acting on an object equals the
product of its moment of inertia and its angular acceleration.
τ =Iα
(1)
Torque is defined as the product of the component of force perpendicular to the lever arm and the
length of the lever arm.
τ = F⊥ l
(2)
The moment of inertia is defined as the product of each mass piece times the square of that mass
from the axis of rotation.
I = ∑ mi r⊥2
(3)
When an object is rotating the tangential acceleration of a point on its surface is equal to the
angular acceleration of the object times the distance of the point from the axis of rotation.
a =rα
(4)
The Experiment:
A rotating platform is accelerated by a string that is wrapped on a drum attached to it. The radius
of this drum is denoted by b and is determined as half of the diameter of the drum as measured
with the dial caliper. The string passes over a Smart Pulley and around a second pulley that
supports an accelerating mass m. The string is secured to a Force Sensor that measures the force
Lab 5 Torque and Angular Acceleration
Objective:
<
To observe the relationship between torque, angular acceleration and moment of inertia.
Equipment:
<
<
<
<
<
<
Rotating table
Ring and disk
Hooked weight sets
Dial caliper
Pasco Smart Pulley
Pasco Science Workshop and Computer Interface
Physical principles:
Newton’s law of motion for rotation asserts that the net torque acting on an object equals the
product of its moment of inertia and its angular acceleration.
τ =Iα
(1)
Torque is defined as the product of the component of force perpendicular to the lever arm and the
length of the lever arm.
τ = F⊥ l
(2)
The moment of inertia is defined as the product of each mass piece times the square of that mass
from the axis of rotation.
I = ∑ mi r⊥2
(3)
When an object is rotating the tangential acceleration of a point on its surface is equal to the
angular acceleration of the object times the distance of the point from the axis of rotation.
a =rα
(4)
The Experiment:
A rotating platform is accelerated by a string that is wrapped on a drum attached to it. The radius
of this drum is denoted by b and is determined as half of the diameter of the drum as measured
with the dial caliper. The string passes over a Smart Pulley and around a second pulley that
supports an accelerating mass m. The string is secured to a Force Sensor that measures the force
Lab 5 Torque and Angular Acceleration
Objective:
<
To observe the relationship between torque, angular acceleration and moment of inertia.
Equipment:
<
<
<
<
<
<
Rotating table
Ring and disk
Hooked weight sets
Dial caliper
Pasco Smart Pulley
Pasco Science Workshop and Computer Interface
Physical principles:
Newton’s law of motion for rotation asserts that the net torque acting on an object equals the
product of its moment of inertia and its angular acceleration.
τ =Iα
(1)
Torque is defined as the product of the component of force perpendicular to the lever arm and the
length of the lever arm.
τ = F⊥ l
(2)
The moment of inertia is defined as the product of each mass piece times the square of that mass
from the axis of rotation.
I = ∑ mi r⊥2
(3)
When an object is rotating the tangential acceleration of a point on its surface is equal to the
angular acceleration of the object times the distance of the point from the axis of rotation.
a =rα
(4)
The Experiment:
A rotating platform is accelerated by a string that is wrapped on a drum attached to it. The radius
of this drum is denoted by b and is determined as half of the diameter of the drum as measured
with the dial caliper. The string passes over a Smart Pulley and around a second pulley that
supports an accelerating mass m. The string is secured to a Force Sensor that measures the force
Lab 5 Torque and Angular Acceleration
Objective:
<
To observe the relationship between torque, angular acceleration and moment of inertia.
Equipment:
<
<
<
<
<
<
Rotating table
Ring and disk
Hooked weight sets
Dial caliper
Pasco Smart Pulley
Pasco Science Workshop and Computer Interface
Physical principles:
Newton’s law of motion for rotation asserts that the net torque acting on an object equals the
product of its moment of inertia and its angular acceleration.
τ =Iα
(1)
Torque is defined as the product of the component of force perpendicular to the lever arm and the
length of the lever arm.
τ = F⊥ l
(2)
The moment of inertia is defined as the product of each mass piece times the square of that mass
from the axis of rotation.
I = ∑ mi r⊥2
(3)
When an object is rotating the tangential acceleration of a point on its surface is equal to the
angular acceleration of the object times the distance of the point from the axis of rotation.
a =rα
(4)
The Experiment:
A rotating platform is accelerated by a string that is wrapped on a drum attached to it. The radius
of this drum is denoted by b and is determined as half of the diameter of the drum as measured
with the dial caliper. The string passes over a Smart Pulley and around a second pulley that
supports an accelerating mass m. The string is secured to a Force Sensor that measures the force
applied to the drum. Since this force acts tangentially to the drum the torque that it produces
about the drum axis is given by
τ =Fb
(5)
From the definition of the moment of inertia the moment of inertial of a system of two parts is
the sum of the moments of inertia of the parts. The table platform has a moment of inertia Ip. In
this experiment a disk or a thick ring are placed on the platform which is then given a set of
accelerations by hanging different masses on the movable pulley. The Smart Pulley measures the
velocity of the string as it passes over the pulley. This is the same as the tangential velocity of
points on the surface of the drum. A graph of this velocity versus time gives the tangential
acceleration of the drum surface which from equation (4) with r = b gives the angular
acceleration of the platform.
α=
a
b
(6)
A graph of torque computed from equation (5) and angular acceleration computed from equation
(6) will be a straight line through the origin with a slope equal to the moment of inertia of the
rotating system if Newton’s law of motion for rotation is correct. Such a graph for the empty
platform gives the moment of inertia of the platform, Ip. A similar graph when the platform has a
disk or thick ring on it gives the total moment of inertia Itot = Ip + I where I is the moment of
inertia of the disk or thick ring. The values I = Itot - Ip can then be compared with those calculated
from the formulae
I disk =
1
M R2
2
I thick ring =
1
M Ro2 + Ri2
2
(
)
(7)
where R is the radius of the disk, Ro is the outer radius of the thick ring and Ri is the inner radius
of the thick ring. These radii are determined as half the diameter as measured with a ruler. The
mass of each is labeled by M and is indicated on the disk and ring.
Procedure:
General Measurements. Using the dial calipers measure and record the drum diameter d.
Calculate and record the drum radius. Record the masses of the disk and thick ring. With a
ruler measure and record the disk diameter, the inner thick ring diameter and the outer thick ring
diameter. Calculate and record the disk diameter, the inner thick ring diameter and the outer
thick ring diameter. From equation (7) calculate and record the moments of inertia of the disk
and thick ring.
Science Workshop set up. Plug the smart pulley phone plug into digital channel 1 and the force
sensor into analogue channel A. Open Science Workshop. Click and drag the smart pulley icon
onto digital channel 1 and double click on Smart Pulley. To calibrate the smart pulley double
applied to the drum. Since this force acts tangentially to the drum the torque that it produces
about the drum axis is given by
τ =Fb
(5)
From the definition of the moment of inertia the moment of inertial of a system of two parts is
the sum of the moments of inertia of the parts. The table platform has a moment of inertia Ip. In
this experiment a disk or a thick ring are placed on the platform which is then given a set of
accelerations by hanging different masses on the movable pulley. The Smart Pulley measures the
velocity of the string as it passes over the pulley. This is the same as the tangential velocity of
points on the surface of the drum. A graph of this velocity versus time gives the tangential
acceleration of the drum surface which from equation (4) with r = b gives the angular
acceleration of the platform.
α=
a
b
(6)
A graph of torque computed from equation (5) and angular acceleration computed from equation
(6) will be a straight line through the origin with a slope equal to the moment of inertia of the
rotating system if Newton’s law of motion for rotation is correct. Such a graph for the empty
platform gives the moment of inertia of the platform, Ip. A similar graph when the platform has a
disk or thick ring on it gives the total moment of inertia Itot = Ip + I where I is the moment of
inertia of the disk or thick ring. The values I = Itot - Ip can then be compared with those calculated
from the formulae
I disk =
1
M R2
2
I thick ring =
1
M Ro2 + Ri2
2
(
)
(7)
where R is the radius of the disk, Ro is the outer radius of the thick ring and Ri is the inner radius
of the thick ring. These radii are determined as half the diameter as measured with a ruler. The
mass of each is labeled by M and is indicated on the disk and ring.
Procedure:
General Measurements. Using the dial calipers measure and record the drum diameter d.
Calculate and record the drum radius. Record the masses of the disk and thick ring. With a
ruler measure and record the disk diameter, the inner thick ring diameter and the outer thick ring
diameter. Calculate and record the disk diameter, the inner thick ring diameter and the outer
thick ring diameter. From equation (7) calculate and record the moments of inertia of the disk
and thick ring.
Science Workshop set up. Plug the smart pulley phone plug into digital channel 1 and the force
sensor into analogue channel A. Open Science Workshop. Click and drag the smart pulley icon
onto digital channel 1 and double click on Smart Pulley. To calibrate the smart pulley double
applied to the drum. Since this force acts tangentially to the drum the torque that it produces
about the drum axis is given by
τ =Fb
(5)
From the definition of the moment of inertia the moment of inertial of a system of two parts is
the sum of the moments of inertia of the parts. The table platform has a moment of inertia Ip. In
this experiment a disk or a thick ring are placed on the platform which is then given a set of
accelerations by hanging different masses on the movable pulley. The Smart Pulley measures the
velocity of the string as it passes over the pulley. This is the same as the tangential velocity of
points on the surface of the drum. A graph of this velocity versus time gives the tangential
acceleration of the drum surface which from equation (4) with r = b gives the angular
acceleration of the platform.
α=
a
b
(6)
A graph of torque computed from equation (5) and angular acceleration computed from equation
(6) will be a straight line through the origin with a slope equal to the moment of inertia of the
rotating system if Newton’s law of motion for rotation is correct. Such a graph for the empty
platform gives the moment of inertia of the platform, Ip. A similar graph when the platform has a
disk or thick ring on it gives the total moment of inertia Itot = Ip + I where I is the moment of
inertia of the disk or thick ring. The values I = Itot - Ip can then be compared with those calculated
from the formulae
I disk =
1
M R2
2
I thick ring =
1
M Ro2 + Ri2
2
(
)
(7)
where R is the radius of the disk, Ro is the outer radius of the thick ring and Ri is the inner radius
of the thick ring. These radii are determined as half the diameter as measured with a ruler. The
mass of each is labeled by M and is indicated on the disk and ring.
Procedure:
General Measurements. Using the dial calipers measure and record the drum diameter d.
Calculate and record the drum radius. Record the masses of the disk and thick ring. With a
ruler measure and record the disk diameter, the inner thick ring diameter and the outer thick ring
diameter. Calculate and record the disk diameter, the inner thick ring diameter and the outer
thick ring diameter. From equation (7) calculate and record the moments of inertia of the disk
and thick ring.
Science Workshop set up. Plug the smart pulley phone plug into digital channel 1 and the force
sensor into analogue channel A. Open Science Workshop. Click and drag the smart pulley icon
onto digital channel 1 and double click on Smart Pulley. To calibrate the smart pulley double
applied to the drum. Since this force acts tangentially to the drum the torque that it produces
about the drum axis is given by
τ =Fb
(5)
From the definition of the moment of inertia the moment of inertial of a system of two parts is
the sum of the moments of inertia of the parts. The table platform has a moment of inertia Ip. In
this experiment a disk or a thick ring are placed on the platform which is then given a set of
accelerations by hanging different masses on the movable pulley. The Smart Pulley measures the
velocity of the string as it passes over the pulley. This is the same as the tangential velocity of
points on the surface of the drum. A graph of this velocity versus time gives the tangential
acceleration of the drum surface which from equation (4) with r = b gives the angular
acceleration of the platform.
α=
a
b
(6)
A graph of torque computed from equation (5) and angular acceleration computed from equation
(6) will be a straight line through the origin with a slope equal to the moment of inertia of the
rotating system if Newton’s law of motion for rotation is correct. Such a graph for the empty
platform gives the moment of inertia of the platform, Ip. A similar graph when the platform has a
disk or thick ring on it gives the total moment of inertia Itot = Ip + I where I is the moment of
inertia of the disk or thick ring. The values I = Itot - Ip can then be compared with those calculated
from the formulae
I disk =
1
M R2
2
I thick ring =
1
M Ro2 + Ri2
2
(
)
(7)
where R is the radius of the disk, Ro is the outer radius of the thick ring and Ri is the inner radius
of the thick ring. These radii are determined as half the diameter as measured with a ruler. The
mass of each is labeled by M and is indicated on the disk and ring.
Procedure:
General Measurements. Using the dial calipers measure and record the drum diameter d.
Calculate and record the drum radius. Record the masses of the disk and thick ring. With a
ruler measure and record the disk diameter, the inner thick ring diameter and the outer thick ring
diameter. Calculate and record the disk diameter, the inner thick ring diameter and the outer
thick ring diameter. From equation (7) calculate and record the moments of inertia of the disk
and thick ring.
Science Workshop set up. Plug the smart pulley phone plug into digital channel 1 and the force
sensor into analogue channel A. Open Science Workshop. Click and drag the smart pulley icon
onto digital channel 1 and double click on Smart Pulley. To calibrate the smart pulley double
applied to the drum. Since this force acts tangentially to the drum the torque that it produces
about the drum axis is given by
τ =Fb
(5)
From the definition of the moment of inertia the moment of inertial of a system of two parts is
the sum of the moments of inertia of the parts. The table platform has a moment of inertia Ip. In
this experiment a disk or a thick ring are placed on the platform which is then given a set of
accelerations by hanging different masses on the movable pulley. The Smart Pulley measures the
velocity of the string as it passes over the pulley. This is the same as the tangential velocity of
points on the surface of the drum. A graph of this velocity versus time gives the tangential
acceleration of the drum surface which from equation (4) with r = b gives the angular
acceleration of the platform.
α=
a
b
(6)
A graph of torque computed from equation (5) and angular acceleration computed from equation
(6) will be a straight line through the origin with a slope equal to the moment of inertia of the
rotating system if Newton’s law of motion for rotation is correct. Such a graph for the empty
platform gives the moment of inertia of the platform, Ip. A similar graph when the platform has a
disk or thick ring on it gives the total moment of inertia Itot = Ip + I where I is the moment of
inertia of the disk or thick ring. The values I = Itot - Ip can then be compared with those calculated
from the formulae
I disk =
1
M R2
2
I thick ring =
1
M Ro2 + Ri2
2
(
)
(7)
where R is the radius of the disk, Ro is the outer radius of the thick ring and Ri is the inner radius
of the thick ring. These radii are determined as half the diameter as measured with a ruler. The
mass of each is labeled by M and is indicated on the disk and ring.
Procedure:
General Measurements. Using the dial calipers measure and record the drum diameter d.
Calculate and record the drum radius. Record the masses of the disk and thick ring. With a
ruler measure and record the disk diameter, the inner thick ring diameter and the outer thick ring
diameter. Calculate and record the disk diameter, the inner thick ring diameter and the outer
thick ring diameter. From equation (7) calculate and record the moments of inertia of the disk
and thick ring.
Science Workshop set up. Plug the smart pulley phone plug into digital channel 1 and the force
sensor into analogue channel A. Open Science Workshop. Click and drag the smart pulley icon
onto digital channel 1 and double click on Smart Pulley. To calibrate the smart pulley double
applied to the drum. Since this force acts tangentially to the drum the torque that it produces
about the drum axis is given by
τ =Fb
(5)
From the definition of the moment of inertia the moment of inertial of a system of two parts is
the sum of the moments of inertia of the parts. The table platform has a moment of inertia Ip. In
this experiment a disk or a thick ring are placed on the platform which is then given a set of
accelerations by hanging different masses on the movable pulley. The Smart Pulley measures the
velocity of the string as it passes over the pulley. This is the same as the tangential velocity of
points on the surface of the drum. A graph of this velocity versus time gives the tangential
acceleration of the drum surface which from equation (4) with r = b gives the angular
acceleration of the platform.
α=
a
b
(6)
A graph of torque computed from equation (5) and angular acceleration computed from equation
(6) will be a straight line through the origin with a slope equal to the moment of inertia of the
rotating system if Newton’s law of motion for rotation is correct. Such a graph for the empty
platform gives the moment of inertia of the platform, Ip. A similar graph when the platform has a
disk or thick ring on it gives the total moment of inertia Itot = Ip + I where I is the moment of
inertia of the disk or thick ring. The values I = Itot - Ip can then be compared with those calculated
from the formulae
I disk =
1
M R2
2
I thick ring =
1
M Ro2 + Ri2
2
(
)
(7)
where R is the radius of the disk, Ro is the outer radius of the thick ring and Ri is the inner radius
of the thick ring. These radii are determined as half the diameter as measured with a ruler. The
mass of each is labeled by M and is indicated on the disk and ring.
Procedure:
General Measurements. Using the dial calipers measure and record the drum diameter d.
Calculate and record the drum radius. Record the masses of the disk and thick ring. With a
ruler measure and record the disk diameter, the inner thick ring diameter and the outer thick ring
diameter. Calculate and record the disk diameter, the inner thick ring diameter and the outer
thick ring diameter. From equation (7) calculate and record the moments of inertia of the disk
and thick ring.
Science Workshop set up. Plug the smart pulley phone plug into digital channel 1 and the force
sensor into analogue channel A. Open Science Workshop. Click and drag the smart pulley icon
onto digital channel 1 and double click on Smart Pulley. To calibrate the smart pulley double
applied to the drum. Since this force acts tangentially to the drum the torque that it produces
about the drum axis is given by
τ =Fb
(5)
From the definition of the moment of inertia the moment of inertial of a system of two parts is
the sum of the moments of inertia of the parts. The table platform has a moment of inertia Ip. In
this experiment a disk or a thick ring are placed on the platform which is then given a set of
accelerations by hanging different masses on the movable pulley. The Smart Pulley measures the
velocity of the string as it passes over the pulley. This is the same as the tangential velocity of
points on the surface of the drum. A graph of this velocity versus time gives the tangential
acceleration of the drum surface which from equation (4) with r = b gives the angular
acceleration of the platform.
α=
a
b
(6)
A graph of torque computed from equation (5) and angular acceleration computed from equation
(6) will be a straight line through the origin with a slope equal to the moment of inertia of the
rotating system if Newton’s law of motion for rotation is correct. Such a graph for the empty
platform gives the moment of inertia of the platform, Ip. A similar graph when the platform has a
disk or thick ring on it gives the total moment of inertia Itot = Ip + I where I is the moment of
inertia of the disk or thick ring. The values I = Itot - Ip can then be compared with those calculated
from the formulae
I disk =
1
M R2
2
I thick ring =
1
M Ro2 + Ri2
2
(
)
(7)
where R is the radius of the disk, Ro is the outer radius of the thick ring and Ri is the inner radius
of the thick ring. These radii are determined as half the diameter as measured with a ruler. The
mass of each is labeled by M and is indicated on the disk and ring.
Procedure:
General Measurements. Using the dial calipers measure and record the drum diameter d.
Calculate and record the drum radius. Record the masses of the disk and thick ring. With a
ruler measure and record the disk diameter, the inner thick ring diameter and the outer thick ring
diameter. Calculate and record the disk diameter, the inner thick ring diameter and the outer
thick ring diameter. From equation (7) calculate and record the moments of inertia of the disk
and thick ring.
Science Workshop set up. Plug the smart pulley phone plug into digital channel 1 and the force
sensor into analogue channel A. Open Science Workshop. Click and drag the smart pulley icon
onto digital channel 1 and double click on Smart Pulley. To calibrate the smart pulley double
applied to the drum. Since this force acts tangentially to the drum the torque that it produces
about the drum axis is given by
τ =Fb
(5)
From the definition of the moment of inertia the moment of inertial of a system of two parts is
the sum of the moments of inertia of the parts. The table platform has a moment of inertia Ip. In
this experiment a disk or a thick ring are placed on the platform which is then given a set of
accelerations by hanging different masses on the movable pulley. The Smart Pulley measures the
velocity of the string as it passes over the pulley. This is the same as the tangential velocity of
points on the surface of the drum. A graph of this velocity versus time gives the tangential
acceleration of the drum surface which from equation (4) with r = b gives the angular
acceleration of the platform.
α=
a
b
(6)
A graph of torque computed from equation (5) and angular acceleration computed from equation
(6) will be a straight line through the origin with a slope equal to the moment of inertia of the
rotating system if Newton’s law of motion for rotation is correct. Such a graph for the empty
platform gives the moment of inertia of the platform, Ip. A similar graph when the platform has a
disk or thick ring on it gives the total moment of inertia Itot = Ip + I where I is the moment of
inertia of the disk or thick ring. The values I = Itot - Ip can then be compared with those calculated
from the formulae
I disk =
1
M R2
2
I thick ring =
1
M Ro2 + Ri2
2
(
)
(7)
where R is the radius of the disk, Ro is the outer radius of the thick ring and Ri is the inner radius
of the thick ring. These radii are determined as half the diameter as measured with a ruler. The
mass of each is labeled by M and is indicated on the disk and ring.
Procedure:
General Measurements. Using the dial calipers measure and record the drum diameter d.
Calculate and record the drum radius. Record the masses of the disk and thick ring. With a
ruler measure and record the disk diameter, the inner thick ring diameter and the outer thick ring
diameter. Calculate and record the disk diameter, the inner thick ring diameter and the outer
thick ring diameter. From equation (7) calculate and record the moments of inertia of the disk
and thick ring.
Science Workshop set up. Plug the smart pulley phone plug into digital channel 1 and the force
sensor into analogue channel A. Open Science Workshop. Click and drag the smart pulley icon
onto digital channel 1 and double click on Smart Pulley. To calibrate the smart pulley double
applied to the drum. Since this force acts tangentially to the drum the torque that it produces
about the drum axis is given by
τ =Fb
(5)
From the definition of the moment of inertia the moment of inertial of a system of two parts is
the sum of the moments of inertia of the parts. The table platform has a moment of inertia Ip. In
this experiment a disk or a thick ring are placed on the platform which is then given a set of
accelerations by hanging different masses on the movable pulley. The Smart Pulley measures the
velocity of the string as it passes over the pulley. This is the same as the tangential velocity of
points on the surface of the drum. A graph of this velocity versus time gives the tangential
acceleration of the drum surface which from equation (4) with r = b gives the angular
acceleration of the platform.
α=
a
b
(6)
A graph of torque computed from equation (5) and angular acceleration computed from equation
(6) will be a straight line through the origin with a slope equal to the moment of inertia of the
rotating system if Newton’s law of motion for rotation is correct. Such a graph for the empty
platform gives the moment of inertia of the platform, Ip. A similar graph when the platform has a
disk or thick ring on it gives the total moment of inertia Itot = Ip + I where I is the moment of
inertia of the disk or thick ring. The values I = Itot - Ip can then be compared with those calculated
from the formulae
I disk =
1
M R2
2
I thick ring =
1
M Ro2 + Ri2
2
(
)
(7)
where R is the radius of the disk, Ro is the outer radius of the thick ring and Ri is the inner radius
of the thick ring. These radii are determined as half the diameter as measured with a ruler. The
mass of each is labeled by M and is indicated on the disk and ring.
Procedure:
General Measurements. Using the dial calipers measure and record the drum diameter d.
Calculate and record the drum radius. Record the masses of the disk and thick ring. With a
ruler measure and record the disk diameter, the inner thick ring diameter and the outer thick ring
diameter. Calculate and record the disk diameter, the inner thick ring diameter and the outer
thick ring diameter. From equation (7) calculate and record the moments of inertia of the disk
and thick ring.
Science Workshop set up. Plug the smart pulley phone plug into digital channel 1 and the force
sensor into analogue channel A. Open Science Workshop. Click and drag the smart pulley icon
onto digital channel 1 and double click on Smart Pulley. To calibrate the smart pulley double
applied to the drum. Since this force acts tangentially to the drum the torque that it produces
about the drum axis is given by
τ =Fb
(5)
From the definition of the moment of inertia the moment of inertial of a system of two parts is
the sum of the moments of inertia of the parts. The table platform has a moment of inertia Ip. In
this experiment a disk or a thick ring are placed on the platform which is then given a set of
accelerations by hanging different masses on the movable pulley. The Smart Pulley measures the
velocity of the string as it passes over the pulley. This is the same as the tangential velocity of
points on the surface of the drum. A graph of this velocity versus time gives the tangential
acceleration of the drum surface which from equation (4) with r = b gives the angular
acceleration of the platform.
α=
a
b
(6)
A graph of torque computed from equation (5) and angular acceleration computed from equation
(6) will be a straight line through the origin with a slope equal to the moment of inertia of the
rotating system if Newton’s law of motion for rotation is correct. Such a graph for the empty
platform gives the moment of inertia of the platform, Ip. A similar graph when the platform has a
disk or thick ring on it gives the total moment of inertia Itot = Ip + I where I is the moment of
inertia of the disk or thick ring. The values I = Itot - Ip can then be compared with those calculated
from the formulae
I disk =
1
M R2
2
I thick ring =
1
M Ro2 + Ri2
2
(
)
(7)
where R is the radius of the disk, Ro is the outer radius of the thick ring and Ri is the inner radius
of the thick ring. These radii are determined as half the diameter as measured with a ruler. The
mass of each is labeled by M and is indicated on the disk and ring.
Procedure:
General Measurements. Using the dial calipers measure and record the drum diameter d.
Calculate and record the drum radius. Record the masses of the disk and thick ring. With a
ruler measure and record the disk diameter, the inner thick ring diameter and the outer thick ring
diameter. Calculate and record the disk diameter, the inner thick ring diameter and the outer
thick ring diameter. From equation (7) calculate and record the moments of inertia of the disk
and thick ring.
Science Workshop set up. Plug the smart pulley phone plug into digital channel 1 and the force
sensor into analogue channel A. Open Science Workshop. Click and drag the smart pulley icon
onto digital channel 1 and double click on Smart Pulley. To calibrate the smart pulley double
applied to the drum. Since this force acts tangentially to the drum the torque that it produces
about the drum axis is given by
τ =Fb
(5)
From the definition of the moment of inertia the moment of inertial of a system of two parts is
the sum of the moments of inertia of the parts. The table platform has a moment of inertia Ip. In
this experiment a disk or a thick ring are placed on the platform which is then given a set of
accelerations by hanging different masses on the movable pulley. The Smart Pulley measures the
velocity of the string as it passes over the pulley. This is the same as the tangential velocity of
points on the surface of the drum. A graph of this velocity versus time gives the tangential
acceleration of the drum surface which from equation (4) with r = b gives the angular
acceleration of the platform.
α=
a
b
(6)
A graph of torque computed from equation (5) and angular acceleration computed from equation
(6) will be a straight line through the origin with a slope equal to the moment of inertia of the
rotating system if Newton’s law of motion for rotation is correct. Such a graph for the empty
platform gives the moment of inertia of the platform, Ip. A similar graph when the platform has a
disk or thick ring on it gives the total moment of inertia Itot = Ip + I where I is the moment of
inertia of the disk or thick ring. The values I = Itot - Ip can then be compared with those calculated
from the formulae
I disk =
1
M R2
2
I thick ring =
1
M Ro2 + Ri2
2
(
)
(7)
where R is the radius of the disk, Ro is the outer radius of the thick ring and Ri is the inner radius
of the thick ring. These radii are determined as half the diameter as measured with a ruler. The
mass of each is labeled by M and is indicated on the disk and ring.
Procedure:
General Measurements. Using the dial calipers measure and record the drum diameter d.
Calculate and record the drum radius. Record the masses of the disk and thick ring. With a
ruler measure and record the disk diameter, the inner thick ring diameter and the outer thick ring
diameter. Calculate and record the disk diameter, the inner thick ring diameter and the outer
thick ring diameter. From equation (7) calculate and record the moments of inertia of the disk
and thick ring.
Science Workshop set up. Plug the smart pulley phone plug into digital channel 1 and the force
sensor into analogue channel A. Open Science Workshop. Click and drag the smart pulley icon
onto digital channel 1 and double click on Smart Pulley. To calibrate the smart pulley double
applied to the drum. Since this force acts tangentially to the drum the torque that it produces
about the drum axis is given by
τ =Fb
(5)
From the definition of the moment of inertia the moment of inertial of a system of two parts is
the sum of the moments of inertia of the parts. The table platform has a moment of inertia Ip. In
this experiment a disk or a thick ring are placed on the platform which is then given a set of
accelerations by hanging different masses on the movable pulley. The Smart Pulley measures the
velocity of the string as it passes over the pulley. This is the same as the tangential velocity of
points on the surface of the drum. A graph of this velocity versus time gives the tangential
acceleration of the drum surface which from equation (4) with r = b gives the angular
acceleration of the platform.
α=
a
b
(6)
A graph of torque computed from equation (5) and angular acceleration computed from equation
(6) will be a straight line through the origin with a slope equal to the moment of inertia of the
rotating system if Newton’s law of motion for rotation is correct. Such a graph for the empty
platform gives the moment of inertia of the platform, Ip. A similar graph when the platform has a
disk or thick ring on it gives the total moment of inertia Itot = Ip + I where I is the moment of
inertia of the disk or thick ring. The values I = Itot - Ip can then be compared with those calculated
from the formulae
I disk =
1
M R2
2
I thick ring =
1
M Ro2 + Ri2
2
(
)
(7)
where R is the radius of the disk, Ro is the outer radius of the thick ring and Ri is the inner radius
of the thick ring. These radii are determined as half the diameter as measured with a ruler. The
mass of each is labeled by M and is indicated on the disk and ring.
Procedure:
General Measurements. Using the dial calipers measure and record the drum diameter d.
Calculate and record the drum radius. Record the masses of the disk and thick ring. With a
ruler measure and record the disk diameter, the inner thick ring diameter and the outer thick ring
diameter. Calculate and record the disk diameter, the inner thick ring diameter and the outer
thick ring diameter. From equation (7) calculate and record the moments of inertia of the disk
and thick ring.
Science Workshop set up. Plug the smart pulley phone plug into digital channel 1 and the force
sensor into analogue channel A. Open Science Workshop. Click and drag the smart pulley icon
onto digital channel 1 and double click on Smart Pulley. To calibrate the smart pulley double
applied to the drum. Since this force acts tangentially to the drum the torque that it produces
about the drum axis is given by
τ =Fb
(5)
From the definition of the moment of inertia the moment of inertial of a system of two parts is
the sum of the moments of inertia of the parts. The table platform has a moment of inertia Ip. In
this experiment a disk or a thick ring are placed on the platform which is then given a set of
accelerations by hanging different masses on the movable pulley. The Smart Pulley measures the
velocity of the string as it passes over the pulley. This is the same as the tangential velocity of
points on the surface of the drum. A graph of this velocity versus time gives the tangential
acceleration of the drum surface which from equation (4) with r = b gives the angular
acceleration of the platform.
α=
a
b
(6)
A graph of torque computed from equation (5) and angular acceleration computed from equation
(6) will be a straight line through the origin with a slope equal to the moment of inertia of the
rotating system if Newton’s law of motion for rotation is correct. Such a graph for the empty
platform gives the moment of inertia of the platform, Ip. A similar graph when the platform has a
disk or thick ring on it gives the total moment of inertia Itot = Ip + I where I is the moment of
inertia of the disk or thick ring. The values I = Itot - Ip can then be compared with those calculated
from the formulae
I disk =
1
M R2
2
I thick ring =
1
M Ro2 + Ri2
2
(
)
(7)
where R is the radius of the disk, Ro is the outer radius of the thick ring and Ri is the inner radius
of the thick ring. These radii are determined as half the diameter as measured with a ruler. The
mass of each is labeled by M and is indicated on the disk and ring.
Procedure:
General Measurements. Using the dial calipers measure and record the drum diameter d.
Calculate and record the drum radius. Record the masses of the disk and thick ring. With a
ruler measure and record the disk diameter, the inner thick ring diameter and the outer thick ring
diameter. Calculate and record the disk diameter, the inner thick ring diameter and the outer
thick ring diameter. From equation (7) calculate and record the moments of inertia of the disk
and thick ring.
Science Workshop set up. Plug the smart pulley phone plug into digital channel 1 and the force
sensor into analogue channel A. Open Science Workshop. Click and drag the smart pulley icon
onto digital channel 1 and double click on Smart Pulley. To calibrate the smart pulley double
applied to the drum. Since this force acts tangentially to the drum the torque that it produces
about the drum axis is given by
τ =Fb
(5)
From the definition of the moment of inertia the moment of inertial of a system of two parts is
the sum of the moments of inertia of the parts. The table platform has a moment of inertia Ip. In
this experiment a disk or a thick ring are placed on the platform which is then given a set of
accelerations by hanging different masses on the movable pulley. The Smart Pulley measures the
velocity of the string as it passes over the pulley. This is the same as the tangential velocity of
points on the surface of the drum. A graph of this velocity versus time gives the tangential
acceleration of the drum surface which from equation (4) with r = b gives the angular
acceleration of the platform.
α=
a
b
(6)
A graph of torque computed from equation (5) and angular acceleration computed from equation
(6) will be a straight line through the origin with a slope equal to the moment of inertia of the
rotating system if Newton’s law of motion for rotation is correct. Such a graph for the empty
platform gives the moment of inertia of the platform, Ip. A similar graph when the platform has a
disk or thick ring on it gives the total moment of inertia Itot = Ip + I where I is the moment of
inertia of the disk or thick ring. The values I = Itot - Ip can then be compared with those calculated
from the formulae
I disk =
1
M R2
2
I thick ring =
1
M Ro2 + Ri2
2
(
)
(7)
where R is the radius of the disk, Ro is the outer radius of the thick ring and Ri is the inner radius
of the thick ring. These radii are determined as half the diameter as measured with a ruler. The
mass of each is labeled by M and is indicated on the disk and ring.
Procedure:
General Measurements. Using the dial calipers measure and record the drum diameter d.
Calculate and record the drum radius. Record the masses of the disk and thick ring. With a
ruler measure and record the disk diameter, the inner thick ring diameter and the outer thick ring
diameter. Calculate and record the disk diameter, the inner thick ring diameter and the outer
thick ring diameter. From equation (7) calculate and record the moments of inertia of the disk
and thick ring.
Science Workshop set up. Plug the smart pulley phone plug into digital channel 1 and the force
sensor into analogue channel A. Open Science Workshop. Click and drag the smart pulley icon
onto digital channel 1 and double click on Smart Pulley. To calibrate the smart pulley double
applied to the drum. Since this force acts tangentially to the drum the torque that it produces
about the drum axis is given by
τ =Fb
(5)
From the definition of the moment of inertia the moment of inertial of a system of two parts is
the sum of the moments of inertia of the parts. The table platform has a moment of inertia Ip. In
this experiment a disk or a thick ring are placed on the platform which is then given a set of
accelerations by hanging different masses on the movable pulley. The Smart Pulley measures the
velocity of the string as it passes over the pulley. This is the same as the tangential velocity of
points on the surface of the drum. A graph of this velocity versus time gives the tangential
acceleration of the drum surface which from equation (4) with r = b gives the angular
acceleration of the platform.
α=
a
b
(6)
A graph of torque computed from equation (5) and angular acceleration computed from equation
(6) will be a straight line through the origin with a slope equal to the moment of inertia of the
rotating system if Newton’s law of motion for rotation is correct. Such a graph for the empty
platform gives the moment of inertia of the platform, Ip. A similar graph when the platform has a
disk or thick ring on it gives the total moment of inertia Itot = Ip + I where I is the moment of
inertia of the disk or thick ring. The values I = Itot - Ip can then be compared with those calculated
from the formulae
I disk =
1
M R2
2
I thick ring =
1
M Ro2 + Ri2
2
(
)
(7)
where R is the radius of the disk, Ro is the outer radius of the thick ring and Ri is the inner radius
of the thick ring. These radii are determined as half the diameter as measured with a ruler. The
mass of each is labeled by M and is indicated on the disk and ring.
Procedure:
General Measurements. Using the dial calipers measure and record the drum diameter d.
Calculate and record the drum radius. Record the masses of the disk and thick ring. With a
ruler measure and record the disk diameter, the inner thick ring diameter and the outer thick ring
diameter. Calculate and record the disk diameter, the inner thick ring diameter and the outer
thick ring diameter. From equation (7) calculate and record the moments of inertia of the disk
and thick ring.
Science Workshop set up. Plug the smart pulley phone plug into digital channel 1 and the force
sensor into analogue channel A. Open Science Workshop. Click and drag the smart pulley icon
onto digital channel 1 and double click on Smart Pulley. To calibrate the smart pulley double
applied to the drum. Since this force acts tangentially to the drum the torque that it produces
about the drum axis is given by
τ =Fb
(5)
From the definition of the moment of inertia the moment of inertial of a system of two parts is
the sum of the moments of inertia of the parts. The table platform has a moment of inertia Ip. In
this experiment a disk or a thick ring are placed on the platform which is then given a set of
accelerations by hanging different masses on the movable pulley. The Smart Pulley measures the
velocity of the string as it passes over the pulley. This is the same as the tangential velocity of
points on the surface of the drum. A graph of this velocity versus time gives the tangential
acceleration of the drum surface which from equation (4) with r = b gives the angular
acceleration of the platform.
α=
a
b
(6)
A graph of torque computed from equation (5) and angular acceleration computed from equation
(6) will be a straight line through the origin with a slope equal to the moment of inertia of the
rotating system if Newton’s law of motion for rotation is correct. Such a graph for the empty
platform gives the moment of inertia of the platform, Ip. A similar graph when the platform has a
disk or thick ring on it gives the total moment of inertia Itot = Ip + I where I is the moment of
inertia of the disk or thick ring. The values I = Itot - Ip can then be compared with those calculated
from the formulae
I disk =
1
M R2
2
I thick ring =
1
M Ro2 + Ri2
2
(
)
(7)
where R is the radius of the disk, Ro is the outer radius of the thick ring and Ri is the inner radius
of the thick ring. These radii are determined as half the diameter as measured with a ruler. The
mass of each is labeled by M and is indicated on the disk and ring.
Procedure:
General Measurements. Using the dial calipers measure and record the drum diameter d.
Calculate and record the drum radius. Record the masses of the disk and thick ring. With a
ruler measure and record the disk diameter, the inner thick ring diameter and the outer thick ring
diameter. Calculate and record the disk diameter, the inner thick ring diameter and the outer
thick ring diameter. From equation (7) calculate and record the moments of inertia of the disk
and thick ring.
Science Workshop set up. Plug the smart pulley phone plug into digital channel 1 and the force
sensor into analogue channel A. Open Science Workshop. Click and drag the smart pulley icon
onto digital channel 1 and double click on Smart Pulley. To calibrate the smart pulley double
applied to the drum. Since this force acts tangentially to the drum the torque that it produces
about the drum axis is given by
τ =Fb
(5)
From the definition of the moment of inertia the moment of inertial of a system of two parts is
the sum of the moments of inertia of the parts. The table platform has a moment of inertia Ip. In
this experiment a disk or a thick ring are placed on the platform which is then given a set of
accelerations by hanging different masses on the movable pulley. The Smart Pulley measures the
velocity of the string as it passes over the pulley. This is the same as the tangential velocity of
points on the surface of the drum. A graph of this velocity versus time gives the tangential
acceleration of the drum surface which from equation (4) with r = b gives the angular
acceleration of the platform.
α=
a
b
(6)
A graph of torque computed from equation (5) and angular acceleration computed from equation
(6) will be a straight line through the origin with a slope equal to the moment of inertia of the
rotating system if Newton’s law of motion for rotation is correct. Such a graph for the empty
platform gives the moment of inertia of the platform, Ip. A similar graph when the platform has a
disk or thick ring on it gives the total moment of inertia Itot = Ip + I where I is the moment of
inertia of the disk or thick ring. The values I = Itot - Ip can then be compared with those calculated
from the formulae
I disk =
1
M R2
2
I thick ring =
1
M Ro2 + Ri2
2
(
)
(7)
where R is the radius of the disk, Ro is the outer radius of the thick ring and Ri is the inner radius
of the thick ring. These radii are determined as half the diameter as measured with a ruler. The
mass of each is labeled by M and is indicated on the disk and ring.
Procedure:
General Measurements. Using the dial calipers measure and record the drum diameter d.
Calculate and record the drum radius. Record the masses of the disk and thick ring. With a
ruler measure and record the disk diameter, the inner thick ring diameter and the outer thick ring
diameter. Calculate and record the disk diameter, the inner thick ring diameter and the outer
thick ring diameter. From equation (7) calculate and record the moments of inertia of the disk
and thick ring.
Science Workshop set up. Plug the smart pulley phone plug into digital channel 1 and the force
sensor into analogue channel A. Open Science Workshop. Click and drag the smart pulley icon
onto digital channel 1 and double click on Smart Pulley. To calibrate the smart pulley double
applied to the drum. Since this force acts tangentially to the drum the torque that it produces
about the drum axis is given by
τ =Fb
(5)
From the definition of the moment of inertia the moment of inertial of a system of two parts is
the sum of the moments of inertia of the parts. The table platform has a moment of inertia Ip. In
this experiment a disk or a thick ring are placed on the platform which is then given a set of
accelerations by hanging different masses on the movable pulley. The Smart Pulley measures the
velocity of the string as it passes over the pulley. This is the same as the tangential velocity of
points on the surface of the drum. A graph of this velocity versus time gives the tangential
acceleration of the drum surface which from equation (4) with r = b gives the angular
acceleration of the platform.
α=
a
b
(6)
A graph of torque computed from equation (5) and angular acceleration computed from equation
(6) will be a straight line through the origin with a slope equal to the moment of inertia of the
rotating system if Newton’s law of motion for rotation is correct. Such a graph for the empty
platform gives the moment of inertia of the platform, Ip. A similar graph when the platform has a
disk or thick ring on it gives the total moment of inertia Itot = Ip + I where I is the moment of
inertia of the disk or thick ring. The values I = Itot - Ip can then be compared with those calculated
from the formulae
I disk =
1
M R2
2
I thick ring =
1
M Ro2 + Ri2
2
(
)
(7)
where R is the radius of the disk, Ro is the outer radius of the thick ring and Ri is the inner radius
of the thick ring. These radii are determined as half the diameter as measured with a ruler. The
mass of each is labeled by M and is indicated on the disk and ring.
Procedure:
General Measurements. Using the dial calipers measure and record the drum diameter d.
Calculate and record the drum radius. Record the masses of the disk and thick ring. With a
ruler measure and record the disk diameter, the inner thick ring diameter and the outer thick ring
diameter. Calculate and record the disk diameter, the inner thick ring diameter and the outer
thick ring diameter. From equation (7) calculate and record the moments of inertia of the disk
and thick ring.
Science Workshop set up. Plug the smart pulley phone plug into digital channel 1 and the force
sensor into analogue channel A. Open Science Workshop. Click and drag the smart pulley icon
onto digital channel 1 and double click on Smart Pulley. To calibrate the smart pulley double
applied to the drum. Since this force acts tangentially to the drum the torque that it produces
about the drum axis is given by
τ =Fb
(5)
From the definition of the moment of inertia the moment of inertial of a system of two parts is
the sum of the moments of inertia of the parts. The table platform has a moment of inertia Ip. In
this experiment a disk or a thick ring are placed on the platform which is then given a set of
accelerations by hanging different masses on the movable pulley. The Smart Pulley measures the
velocity of the string as it passes over the pulley. This is the same as the tangential velocity of
points on the surface of the drum. A graph of this velocity versus time gives the tangential
acceleration of the drum surface which from equation (4) with r = b gives the angular
acceleration of the platform.
α=
a
b
(6)
A graph of torque computed from equation (5) and angular acceleration computed from equation
(6) will be a straight line through the origin with a slope equal to the moment of inertia of the
rotating system if Newton’s law of motion for rotation is correct. Such a graph for the empty
platform gives the moment of inertia of the platform, Ip. A similar graph when the platform has a
disk or thick ring on it gives the total moment of inertia Itot = Ip + I where I is the moment of
inertia of the disk or thick ring. The values I = Itot - Ip can then be compared with those calculated
from the formulae
I disk =
1
M R2
2
I thick ring =
1
M Ro2 + Ri2
2
(
)
(7)
where R is the radius of the disk, Ro is the outer radius of the thick ring and Ri is the inner radius
of the thick ring. These radii are determined as half the diameter as measured with a ruler. The
mass of each is labeled by M and is indicated on the disk and ring.
Procedure:
General Measurements. Using the dial calipers measure and record the drum diameter d.
Calculate and record the drum radius. Record the masses of the disk and thick ring. With a
ruler measure and record the disk diameter, the inner thick ring diameter and the outer thick ring
diameter. Calculate and record the disk diameter, the inner thick ring diameter and the outer
thick ring diameter. From equation (7) calculate and record the moments of inertia of the disk
and thick ring.
Science Workshop set up. Plug the smart pulley phone plug into digital channel 1 and the force
sensor into analogue channel A. Open Science Workshop. Click and drag the smart pulley icon
onto digital channel 1 and double click on Smart Pulley. To calibrate the smart pulley double
applied to the drum. Since this force acts tangentially to the drum the torque that it produces
about the drum axis is given by
τ =Fb
(5)
From the definition of the moment of inertia the moment of inertial of a system of two parts is
the sum of the moments of inertia of the parts. The table platform has a moment of inertia Ip. In
this experiment a disk or a thick ring are placed on the platform which is then given a set of
accelerations by hanging different masses on the movable pulley. The Smart Pulley measures the
velocity of the string as it passes over the pulley. This is the same as the tangential velocity of
points on the surface of the drum. A graph of this velocity versus time gives the tangential
acceleration of the drum surface which from equation (4) with r = b gives the angular
acceleration of the platform.
α=
a
b
(6)
A graph of torque computed from equation (5) and angular acceleration computed from equation
(6) will be a straight line through the origin with a slope equal to the moment of inertia of the
rotating system if Newton’s law of motion for rotation is correct. Such a graph for the empty
platform gives the moment of inertia of the platform, Ip. A similar graph when the platform has a
disk or thick ring on it gives the total moment of inertia Itot = Ip + I where I is the moment of
inertia of the disk or thick ring. The values I = Itot - Ip can then be compared with those calculated
from the formulae
I disk =
1
M R2
2
I thick ring =
1
M Ro2 + Ri2
2
(
)
(7)
where R is the radius of the disk, Ro is the outer radius of the thick ring and Ri is the inner radius
of the thick ring. These radii are determined as half the diameter as measured with a ruler. The
mass of each is labeled by M and is indicated on the disk and ring.
Procedure:
General Measurements. Using the dial calipers measure and record the drum diameter d.
Calculate and record the drum radius. Record the masses of the disk and thick ring. With a
ruler measure and record the disk diameter, the inner thick ring diameter and the outer thick ring
diameter. Calculate and record the disk diameter, the inner thick ring diameter and the outer
thick ring diameter. From equation (7) calculate and record the moments of inertia of the disk
and thick ring.
Science Workshop set up. Plug the smart pulley phone plug into digital channel 1 and the force
sensor into analogue channel A. Open Science Workshop. Click and drag the smart pulley icon
onto digital channel 1 and double click on Smart Pulley. To calibrate the smart pulley double
applied to the drum. Since this force acts tangentially to the drum the torque that it produces
about the drum axis is given by
τ =Fb
(5)
From the definition of the moment of inertia the moment of inertial of a system of two parts is
the sum of the moments of inertia of the parts. The table platform has a moment of inertia Ip. In
this experiment a disk or a thick ring are placed on the platform which is then given a set of
accelerations by hanging different masses on the movable pulley. The Smart Pulley measures the
velocity of the string as it passes over the pulley. This is the same as the tangential velocity of
points on the surface of the drum. A graph of this velocity versus time gives the tangential
acceleration of the drum surface which from equation (4) with r = b gives the angular
acceleration of the platform.
α=
a
b
(6)
A graph of torque computed from equation (5) and angular acceleration computed from equation
(6) will be a straight line through the origin with a slope equal to the moment of inertia of the
rotating system if Newton’s law of motion for rotation is correct. Such a graph for the empty
platform gives the moment of inertia of the platform, Ip. A similar graph when the platform has a
disk or thick ring on it gives the total moment of inertia Itot = Ip + I where I is the moment of
inertia of the disk or thick ring. The values I = Itot - Ip can then be compared with those calculated
from the formulae
I disk =
1
M R2
2
I thick ring =
1
M Ro2 + Ri2
2
(
)
(7)
where R is the radius of the disk, Ro is the outer radius of the thick ring and Ri is the inner radius
of the thick ring. These radii are determined as half the diameter as measured with a ruler. The
mass of each is labeled by M and is indicated on the disk and ring.
Procedure:
General Measurements. Using the dial calipers measure and record the drum diameter d.
Calculate and record the drum radius. Record the masses of the disk and thick ring. With a
ruler measure and record the disk diameter, the inner thick ring diameter and the outer thick ring
diameter. Calculate and record the disk diameter, the inner thick ring diameter and the outer
thick ring diameter. From equation (7) calculate and record the moments of inertia of the disk
and thick ring.
Science Workshop set up. Plug the smart pulley phone plug into digital channel 1 and the force
sensor into analogue channel A. Open Science Workshop. Click and drag the smart pulley icon
onto digital channel 1 and double click on Smart Pulley. To calibrate the smart pulley double
applied to the drum. Since this force acts tangentially to the drum the torque that it produces
about the drum axis is given by
τ =Fb
(5)
From the definition of the moment of inertia the moment of inertial of a system of two parts is
the sum of the moments of inertia of the parts. The table platform has a moment of inertia Ip. In
this experiment a disk or a thick ring are placed on the platform which is then given a set of
accelerations by hanging different masses on the movable pulley. The Smart Pulley measures the
velocity of the string as it passes over the pulley. This is the same as the tangential velocity of
points on the surface of the drum. A graph of this velocity versus time gives the tangential
acceleration of the drum surface which from equation (4) with r = b gives the angular
acceleration of the platform.
α=
a
b
(6)
A graph of torque computed from equation (5) and angular acceleration computed from equation
(6) will be a straight line through the origin with a slope equal to the moment of inertia of the
rotating system if Newton’s law of motion for rotation is correct. Such a graph for the empty
platform gives the moment of inertia of the platform, Ip. A similar graph when the platform has a
disk or thick ring on it gives the total moment of inertia Itot = Ip + I where I is the moment of
inertia of the disk or thick ring. The values I = Itot - Ip can then be compared with those calculated
from the formulae
I disk =
1
M R2
2
I thick ring =
1
M Ro2 + Ri2
2
(
)
(7)
where R is the radius of the disk, Ro is the outer radius of the thick ring and Ri is the inner radius
of the thick ring. These radii are determined as half the diameter as measured with a ruler. The
mass of each is labeled by M and is indicated on the disk and ring.
Procedure:
General Measurements. Using the dial calipers measure and record the drum diameter d.
Calculate and record the drum radius. Record the masses of the disk and thick ring. With a
ruler measure and record the disk diameter, the inner thick ring diameter and the outer thick ring
diameter. Calculate and record the disk diameter, the inner thick ring diameter and the outer
thick ring diameter. From equation (7) calculate and record the moments of inertia of the disk
and thick ring.
Science Workshop set up. Plug the smart pulley phone plug into digital channel 1 and the force
sensor into analogue channel A. Open Science Workshop. Click and drag the smart pulley icon
onto digital channel 1 and double click on Smart Pulley. To calibrate the smart pulley double
applied to the drum. Since this force acts tangentially to the drum the torque that it produces
about the drum axis is given by
τ =Fb
(5)
From the definition of the moment of inertia the moment of inertial of a system of two parts is
the sum of the moments of inertia of the parts. The table platform has a moment of inertia Ip. In
this experiment a disk or a thick ring are placed on the platform which is then given a set of
accelerations by hanging different masses on the movable pulley. The Smart Pulley measures the
velocity of the string as it passes over the pulley. This is the same as the tangential velocity of
points on the surface of the drum. A graph of this velocity versus time gives the tangential
acceleration of the drum surface which from equation (4) with r = b gives the angular
acceleration of the platform.
α=
a
b
(6)
A graph of torque computed from equation (5) and angular acceleration computed from equation
(6) will be a straight line through the origin with a slope equal to the moment of inertia of the
rotating system if Newton’s law of motion for rotation is correct. Such a graph for the empty
platform gives the moment of inertia of the platform, Ip. A similar graph when the platform has a
disk or thick ring on it gives the total moment of inertia Itot = Ip + I where I is the moment of
inertia of the disk or thick ring. The values I = Itot - Ip can then be compared with those calculated
from the formulae
I disk =
1
M R2
2
I thick ring =
1
M Ro2 + Ri2
2
(
)
(7)
where R is the radius of the disk, Ro is the outer radius of the thick ring and Ri is the inner radius
of the thick ring. These radii are determined as half the diameter as measured with a ruler. The
mass of each is labeled by M and is indicated on the disk and ring.
Procedure:
General Measurements. Using the dial calipers measure and record the drum diameter d.
Calculate and record the drum radius. Record the masses of the disk and thick ring. With a
ruler measure and record the disk diameter, the inner thick ring diameter and the outer thick ring
diameter. Calculate and record the disk diameter, the inner thick ring diameter and the outer
thick ring diameter. From equation (7) calculate and record the moments of inertia of the disk
and thick ring.
Science Workshop set up. Plug the smart pulley phone plug into digital channel 1 and the force
sensor into analogue channel A. Open Science Workshop. Click and drag the smart pulley icon
onto digital channel 1 and double click on Smart Pulley. To calibrate the smart pulley double
applied to the drum. Since this force acts tangentially to the drum the torque that it produces
about the drum axis is given by
τ =Fb
(5)
From the definition of the moment of inertia the moment of inertial of a system of two parts is
the sum of the moments of inertia of the parts. The table platform has a moment of inertia Ip. In
this experiment a disk or a thick ring are placed on the platform which is then given a set of
accelerations by hanging different masses on the movable pulley. The Smart Pulley measures the
velocity of the string as it passes over the pulley. This is the same as the tangential velocity of
points on the surface of the drum. A graph of this velocity versus time gives the tangential
acceleration of the drum surface which from equation (4) with r = b gives the angular
acceleration of the platform.
α=
a
b
(6)
A graph of torque computed from equation (5) and angular acceleration computed from equation
(6) will be a straight line through the origin with a slope equal to the moment of inertia of the
rotating system if Newton’s law of motion for rotation is correct. Such a graph for the empty
platform gives the moment of inertia of the platform, Ip. A similar graph when the platform has a
disk or thick ring on it gives the total moment of inertia Itot = Ip + I where I is the moment of
inertia of the disk or thick ring. The values I = Itot - Ip can then be compared with those calculated
from the formulae
I disk =
1
M R2
2
I thick ring =
1
M Ro2 + Ri2
2
(
)
(7)
where R is the radius of the disk, Ro is the outer radius of the thick ring and Ri is the inner radius
of the thick ring. These radii are determined as half the diameter as measured with a ruler. The
mass of each is labeled by M and is indicated on the disk and ring.
Procedure:
General Measurements. Using the dial calipers measure and record the drum diameter d.
Calculate and record the drum radius. Record the masses of the disk and thick ring. With a
ruler measure and record the disk diameter, the inner thick ring diameter and the outer thick ring
diameter. Calculate and record the disk diameter, the inner thick ring diameter and the outer
thick ring diameter. From equation (7) calculate and record the moments of inertia of the disk
and thick ring.
Science Workshop set up. Plug the smart pulley phone plug into digital channel 1 and the force
sensor into analogue channel A. Open Science Workshop. Click and drag the smart pulley icon
onto digital channel 1 and double click on Smart Pulley. To calibrate the smart pulley double
applied to the drum. Since this force acts tangentially to the drum the torque that it produces
about the drum axis is given by
τ =Fb
(5)
From the definition of the moment of inertia the moment of inertial of a system of two parts is
the sum of the moments of inertia of the parts. The table platform has a moment of inertia Ip. In
this experiment a disk or a thick ring are placed on the platform which is then given a set of
accelerations by hanging different masses on the movable pulley. The Smart Pulley measures the
velocity of the string as it passes over the pulley. This is the same as the tangential velocity of
points on the surface of the drum. A graph of this velocity versus time gives the tangential
acceleration of the drum surface which from equation (4) with r = b gives the angular
acceleration of the platform.
α=
a
b
(6)
A graph of torque computed from equation (5) and angular acceleration computed from equation
(6) will be a straight line through the origin with a slope equal to the moment of inertia of the
rotating system if Newton’s law of motion for rotation is correct. Such a graph for the empty
platform gives the moment of inertia of the platform, Ip. A similar graph when the platform has a
disk or thick ring on it gives the total moment of inertia Itot = Ip + I where I is the moment of
inertia of the disk or thick ring. The values I = Itot - Ip can then be compared with those calculated
from the formulae
I disk =
1
M R2
2
I thick ring =
1
M Ro2 + Ri2
2
(
)
(7)
where R is the radius of the disk, Ro is the outer radius of the thick ring and Ri is the inner radius
of the thick ring. These radii are determined as half the diameter as measured with a ruler. The
mass of each is labeled by M and is indicated on the disk and ring.
Procedure:
General Measurements. Using the dial calipers measure and record the drum diameter d.
Calculate and record the drum radius. Record the masses of the disk and thick ring. With a
ruler measure and record the disk diameter, the inner thick ring diameter and the outer thick ring
diameter. Calculate and record the disk diameter, the inner thick ring diameter and the outer
thick ring diameter. From equation (7) calculate and record the moments of inertia of the disk
and thick ring.
Science Workshop set up. Plug the smart pulley phone plug into digital channel 1 and the force
sensor into analogue channel A. Open Science Workshop. Click and drag the smart pulley icon
onto digital channel 1 and double click on Smart Pulley. To calibrate the smart pulley double
applied to the drum. Since this force acts tangentially to the drum the torque that it produces
about the drum axis is given by
τ =Fb
(5)
From the definition of the moment of inertia the moment of inertial of a system of two parts is
the sum of the moments of inertia of the parts. The table platform has a moment of inertia Ip. In
this experiment a disk or a thick ring are placed on the platform which is then given a set of
accelerations by hanging different masses on the movable pulley. The Smart Pulley measures the
velocity of the string as it passes over the pulley. This is the same as the tangential velocity of
points on the surface of the drum. A graph of this velocity versus time gives the tangential
acceleration of the drum surface which from equation (4) with r = b gives the angular
acceleration of the platform.
α=
a
b
(6)
A graph of torque computed from equation (5) and angular acceleration computed from equation
(6) will be a straight line through the origin with a slope equal to the moment of inertia of the
rotating system if Newton’s law of motion for rotation is correct. Such a graph for the empty
platform gives the moment of inertia of the platform, Ip. A similar graph when the platform has a
disk or thick ring on it gives the total moment of inertia Itot = Ip + I where I is the moment of
inertia of the disk or thick ring. The values I = Itot - Ip can then be compared with those calculated
from the formulae
I disk =
1
M R2
2
I thick ring =
1
M Ro2 + Ri2
2
(
)
(7)
where R is the radius of the disk, Ro is the outer radius of the thick ring and Ri is the inner radius
of the thick ring. These radii are determined as half the diameter as measured with a ruler. The
mass of each is labeled by M and is indicated on the disk and ring.
Procedure:
General Measurements. Using the dial calipers measure and record the drum diameter d.
Calculate and record the drum radius. Record the masses of the disk and thick ring. With a
ruler measure and record the disk diameter, the inner thick ring diameter and the outer thick ring
diameter. Calculate and record the disk diameter, the inner thick ring diameter and the outer
thick ring diameter. From equation (7) calculate and record the moments of inertia of the disk
and thick ring.
Science Workshop set up. Plug the smart pulley phone plug into digital channel 1 and the force
sensor into analogue channel A. Open Science Workshop. Click and drag the smart pulley icon
onto digital channel 1 and double click on Smart Pulley. To calibrate the smart pulley double
applied to the drum. Since this force acts tangentially to the drum the torque that it produces
about the drum axis is given by
τ =Fb
(5)
From the definition of the moment of inertia the moment of inertial of a system of two parts is
the sum of the moments of inertia of the parts. The table platform has a moment of inertia Ip. In
this experiment a disk or a thick ring are placed on the platform which is then given a set of
accelerations by hanging different masses on the movable pulley. The Smart Pulley measures the
velocity of the string as it passes over the pulley. This is the same as the tangential velocity of
points on the surface of the drum. A graph of this velocity versus time gives the tangential
acceleration of the drum surface which from equation (4) with r = b gives the angular
acceleration of the platform.
α=
a
b
(6)
A graph of torque computed from equation (5) and angular acceleration computed from equation
(6) will be a straight line through the origin with a slope equal to the moment of inertia of the
rotating system if Newton’s law of motion for rotation is correct. Such a graph for the empty
platform gives the moment of inertia of the platform, Ip. A similar graph when the platform has a
disk or thick ring on it gives the total moment of inertia Itot = Ip + I where I is the moment of
inertia of the disk or thick ring. The values I = Itot - Ip can then be compared with those calculated
from the formulae
I disk =
1
M R2
2
I thick ring =
1
M Ro2 + Ri2
2
(
)
(7)
where R is the radius of the disk, Ro is the outer radius of the thick ring and Ri is the inner radius
of the thick ring. These radii are determined as half the diameter as measured with a ruler. The
mass of each is labeled by M and is indicated on the disk and ring.
Procedure:
General Measurements. Using the dial calipers measure and record the drum diameter d.
Calculate and record the drum radius. Record the masses of the disk and thick ring. With a
ruler measure and record the disk diameter, the inner thick ring diameter and the outer thick ring
diameter. Calculate and record the disk diameter, the inner thick ring diameter and the outer
thick ring diameter. From equation (7) calculate and record the moments of inertia of the disk
and thick ring.
Science Workshop set up. Plug the smart pulley phone plug into digital channel 1 and the force
sensor into analogue channel A. Open Science Workshop. Click and drag the smart pulley icon
onto digital channel 1 and double click on Smart Pulley. To calibrate the smart pulley double
applied to the drum. Since this force acts tangentially to the drum the torque that it produces
about the drum axis is given by
τ =Fb
(5)
From the definition of the moment of inertia the moment of inertial of a system of two parts is
the sum of the moments of inertia of the parts. The table platform has a moment of inertia Ip. In
this experiment a disk or a thick ring are placed on the platform which is then given a set of
accelerations by hanging different masses on the movable pulley. The Smart Pulley measures the
velocity of the string as it passes over the pulley. This is the same as the tangential velocity of
points on the surface of the drum. A graph of this velocity versus time gives the tangential
acceleration of the drum surface which from equation (4) with r = b gives the angular
acceleration of the platform.
α=
a
b
(6)
A graph of torque computed from equation (5) and angular acceleration computed from equation
(6) will be a straight line through the origin with a slope equal to the moment of inertia of the
rotating system if Newton’s law of motion for rotation is correct. Such a graph for the empty
platform gives the moment of inertia of the platform, Ip. A similar graph when the platform has a
disk or thick ring on it gives the total moment of inertia Itot = Ip + I where I is the moment of
inertia of the disk or thick ring. The values I = Itot - Ip can then be compared with those calculated
from the formulae
I disk =
1
M R2
2
I thick ring =
1
M Ro2 + Ri2
2
(
)
(7)
where R is the radius of the disk, Ro is the outer radius of the thick ring and Ri is the inner radius
of the thick ring. These radii are determined as half the diameter as measured with a ruler. The
mass of each is labeled by M and is indicated on the disk and ring.
Procedure:
General Measurements. Using the dial calipers measure and record the drum diameter d.
Calculate and record the drum radius. Record the masses of the disk and thick ring. With a
ruler measure and record the disk diameter, the inner thick ring diameter and the outer thick ring
diameter. Calculate and record the disk diameter, the inner thick ring diameter and the outer
thick ring diameter. From equation (7) calculate and record the moments of inertia of the disk
and thick ring.
Science Workshop set up. Plug the smart pulley phone plug into digital channel 1 and the force
sensor into analogue channel A. Open Science Workshop. Click and drag the smart pulley icon
onto digital channel 1 and double click on Smart Pulley. To calibrate the smart pulley double
applied to the drum. Since this force acts tangentially to the drum the torque that it produces
about the drum axis is given by
τ =Fb
(5)
From the definition of the moment of inertia the moment of inertial of a system of two parts is
the sum of the moments of inertia of the parts. The table platform has a moment of inertia Ip. In
this experiment a disk or a thick ring are placed on the platform which is then given a set of
accelerations by hanging different masses on the movable pulley. The Smart Pulley measures the
velocity of the string as it passes over the pulley. This is the same as the tangential velocity of
points on the surface of the drum. A graph of this velocity versus time gives the tangential
acceleration of the drum surface which from equation (4) with r = b gives the angular
acceleration of the platform.
α=
a
b
(6)
A graph of torque computed from equation (5) and angular acceleration computed from equation
(6) will be a straight line through the origin with a slope equal to the moment of inertia of the
rotating system if Newton’s law of motion for rotation is correct. Such a graph for the empty
platform gives the moment of inertia of the platform, Ip. A similar graph when the platform has a
disk or thick ring on it gives the total moment of inertia Itot = Ip + I where I is the moment of
inertia of the disk or thick ring. The values I = Itot - Ip can then be compared with those calculated
from the formulae
I disk =
1
M R2
2
I thick ring =
1
M Ro2 + Ri2
2
(
)
(7)
where R is the radius of the disk, Ro is the outer radius of the thick ring and Ri is the inner radius
of the thick ring. These radii are determined as half the diameter as measured with a ruler. The
mass of each is labeled by M and is indicated on the disk and ring.
Procedure:
General Measurements. Using the dial calipers measure and record the drum diameter d.
Calculate and record the drum radius. Record the masses of the disk and thick ring. With a
ruler measure and record the disk diameter, the inner thick ring diameter and the outer thick ring
diameter. Calculate and record the disk diameter, the inner thick ring diameter and the outer
thick ring diameter. From equation (7) calculate and record the moments of inertia of the disk
and thick ring.
Science Workshop set up. Plug the smart pulley phone plug into digital channel 1 and the force
sensor into analogue channel A. Open Science Workshop. Click and drag the smart pulley icon
onto digital channel 1 and double click on Smart Pulley. To calibrate the smart pulley double
applied to the drum. Since this force acts tangentially to the drum the torque that it produces
about the drum axis is given by
τ =Fb
(5)
From the definition of the moment of inertia the moment of inertial of a system of two parts is
the sum of the moments of inertia of the parts. The table platform has a moment of inertia Ip. In
this experiment a disk or a thick ring are placed on the platform which is then given a set of
accelerations by hanging different masses on the movable pulley. The Smart Pulley measures the
velocity of the string as it passes over the pulley. This is the same as the tangential velocity of
points on the surface of the drum. A graph of this velocity versus time gives the tangential
acceleration of the drum surface which from equation (4) with r = b gives the angular
acceleration of the platform.
α=
a
b
(6)
A graph of torque computed from equation (5) and angular acceleration computed from equation
(6) will be a straight line through the origin with a slope equal to the moment of inertia of the
rotating system if Newton’s law of motion for rotation is correct. Such a graph for the empty
platform gives the moment of inertia of the platform, Ip. A similar graph when the platform has a
disk or thick ring on it gives the total moment of inertia Itot = Ip + I where I is the moment of
inertia of the disk or thick ring. The values I = Itot - Ip can then be compared with those calculated
from the formulae
I disk =
1
M R2
2
I thick ring =
1
M Ro2 + Ri2
2
(
)
(7)
where R is the radius of the disk, Ro is the outer radius of the thick ring and Ri is the inner radius
of the thick ring. These radii are determined as half the diameter as measured with a ruler. The
mass of each is labeled by M and is indicated on the disk and ring.
Procedure:
General Measurements. Using the dial calipers measure and record the drum diameter d.
Calculate and record the drum radius. Record the masses of the disk and thick ring. With a
ruler measure and record the disk diameter, the inner thick ring diameter and the outer thick ring
diameter. Calculate and record the disk diameter, the inner thick ring diameter and the outer
thick ring diameter. From equation (7) calculate and record the moments of inertia of the disk
and thick ring.
Science Workshop set up. Plug the smart pulley phone plug into digital channel 1 and the force
sensor into analogue channel A. Open Science Workshop. Click and drag the smart pulley icon
onto digital channel 1 and double click on Smart Pulley. To calibrate the smart pulley double
click on the smart pulley icon and set the pulley radius to .0155, then click on OK. Click and
drag the din connector icon onto analogue channel A and double click on Force Sensor. To
calibrate the force sensor double click on the force sensor icon. Enter 0 in the Low Value box and
4.9 in the High Value box. With no weight on the sensor click on Read in the Low Value row.
Hand a 500 gram mass on the force sensor and click on Read in the High Value row. Click on
Sampling Options and set a stop time of 3 s and click on OK twice. Drag the graph icon onto the
smart pulley icon and select velocity and click on Display. Click on the statistics icon E on the
lower left and then on the graph E and select Curve Fit and Linear Fit. Click on the new graph
icon on the lower left
Platform Moment of Inertia. With the empty platform secured so that it cannot rotate hang 50 g
of mass from the movable pulley. Release the platform and immediately click on the REC icon.
Record the accelerating mass of .05 kg, the slope of the graph, a2, and the average force in the
first three columns of table I. Repeat this for masses of 100 g and 150 gm and complete Table I.
Open Graphical Analysis and make a graph of torque, J, versus ". Label the columns and title
your graph. Click on the regression icon to get a linear fit and record the slope of this graph as Ip.
Platform with Disk. Place the disk on the platform and repeat the steps for the empty platform
using masses of 100 g, 200 g, 300 g, 400 g, and 500 g. Subtract the moment of inertia of the
platform that was determined from the data in table I to obtain a measured value of the moment
of inertia of the disk. Compute the percentage error from
percent error = 100% ⋅
I disk slope − I disk calc
I disk calc
Platform with Thick Ring. Remove the disk and place the thick ring on the platform. Repeat the
steps for the platform with disk.
Discuss your results in your conclusion. Is Newton’s law of motion for rotation consistent with
your observations? Do the slopes of the torque versus angular acceleration graphs predict
moments of inertia that agree with your calculated ones? Discuss sources of error. The presence
of a constant frictional torque would shift your graphs upward. Did your graphs indicate that
frictional torques were significant?
click on the smart pulley icon and set the pulley radius to .0155, then click on OK. Click and
drag the din connector icon onto analogue channel A and double click on Force Sensor. To
calibrate the force sensor double click on the force sensor icon. Enter 0 in the Low Value box and
4.9 in the High Value box. With no weight on the sensor click on Read in the Low Value row.
Hand a 500 gram mass on the force sensor and click on Read in the High Value row. Click on
Sampling Options and set a stop time of 3 s and click on OK twice. Drag the graph icon onto the
smart pulley icon and select velocity and click on Display. Click on the statistics icon E on the
lower left and then on the graph E and select Curve Fit and Linear Fit. Click on the new graph
icon on the lower left
Platform Moment of Inertia. With the empty platform secured so that it cannot rotate hang 50 g
of mass from the movable pulley. Release the platform and immediately click on the REC icon.
Record the accelerating mass of .05 kg, the slope of the graph, a2, and the average force in the
first three columns of table I. Repeat this for masses of 100 g and 150 gm and complete Table I.
Open Graphical Analysis and make a graph of torque, J, versus ". Label the columns and title
your graph. Click on the regression icon to get a linear fit and record the slope of this graph as Ip.
Platform with Disk. Place the disk on the platform and repeat the steps for the empty platform
using masses of 100 g, 200 g, 300 g, 400 g, and 500 g. Subtract the moment of inertia of the
platform that was determined from the data in table I to obtain a measured value of the moment
of inertia of the disk. Compute the percentage error from
percent error = 100% ⋅
I disk slope − I disk calc
I disk calc
Platform with Thick Ring. Remove the disk and place the thick ring on the platform. Repeat the
steps for the platform with disk.
Discuss your results in your conclusion. Is Newton’s law of motion for rotation consistent with
your observations? Do the slopes of the torque versus angular acceleration graphs predict
moments of inertia that agree with your calculated ones? Discuss sources of error. The presence
of a constant frictional torque would shift your graphs upward. Did your graphs indicate that
frictional torques were significant?
click on the smart pulley icon and set the pulley radius to .0155, then click on OK. Click and
drag the din connector icon onto analogue channel A and double click on Force Sensor. To
calibrate the force sensor double click on the force sensor icon. Enter 0 in the Low Value box and
4.9 in the High Value box. With no weight on the sensor click on Read in the Low Value row.
Hand a 500 gram mass on the force sensor and click on Read in the High Value row. Click on
Sampling Options and set a stop time of 3 s and click on OK twice. Drag the graph icon onto the
smart pulley icon and select velocity and click on Display. Click on the statistics icon E on the
lower left and then on the graph E and select Curve Fit and Linear Fit. Click on the new graph
icon on the lower left
Platform Moment of Inertia. With the empty platform secured so that it cannot rotate hang 50 g
of mass from the movable pulley. Release the platform and immediately click on the REC icon.
Record the accelerating mass of .05 kg, the slope of the graph, a2, and the average force in the
first three columns of table I. Repeat this for masses of 100 g and 150 gm and complete Table I.
Open Graphical Analysis and make a graph of torque, J, versus ". Label the columns and title
your graph. Click on the regression icon to get a linear fit and record the slope of this graph as Ip.
Platform with Disk. Place the disk on the platform and repeat the steps for the empty platform
using masses of 100 g, 200 g, 300 g, 400 g, and 500 g. Subtract the moment of inertia of the
platform that was determined from the data in table I to obtain a measured value of the moment
of inertia of the disk. Compute the percentage error from
percent error = 100% ⋅
I disk slope − I disk calc
I disk calc
Platform with Thick Ring. Remove the disk and place the thick ring on the platform. Repeat the
steps for the platform with disk.
Discuss your results in your conclusion. Is Newton’s law of motion for rotation consistent with
your observations? Do the slopes of the torque versus angular acceleration graphs predict
moments of inertia that agree with your calculated ones? Discuss sources of error. The presence
of a constant frictional torque would shift your graphs upward. Did your graphs indicate that
frictional torques were significant?
click on the smart pulley icon and set the pulley radius to .0155, then click on OK. Click and
drag the din connector icon onto analogue channel A and double click on Force Sensor. To
calibrate the force sensor double click on the force sensor icon. Enter 0 in the Low Value box and
4.9 in the High Value box. With no weight on the sensor click on Read in the Low Value row.
Hand a 500 gram mass on the force sensor and click on Read in the High Value row. Click on
Sampling Options and set a stop time of 3 s and click on OK twice. Drag the graph icon onto the
smart pulley icon and select velocity and click on Display. Click on the statistics icon E on the
lower left and then on the graph E and select Curve Fit and Linear Fit. Click on the new graph
icon on the lower left
Platform Moment of Inertia. With the empty platform secured so that it cannot rotate hang 50 g
of mass from the movable pulley. Release the platform and immediately click on the REC icon.
Record the accelerating mass of .05 kg, the slope of the graph, a2, and the average force in the
first three columns of table I. Repeat this for masses of 100 g and 150 gm and complete Table I.
Open Graphical Analysis and make a graph of torque, J, versus ". Label the columns and title
your graph. Click on the regression icon to get a linear fit and record the slope of this graph as Ip.
Platform with Disk. Place the disk on the platform and repeat the steps for the empty platform
using masses of 100 g, 200 g, 300 g, 400 g, and 500 g. Subtract the moment of inertia of the
platform that was determined from the data in table I to obtain a measured value of the moment
of inertia of the disk. Compute the percentage error from
percent error = 100% ⋅
I disk slope − I disk calc
I disk calc
Platform with Thick Ring. Remove the disk and place the thick ring on the platform. Repeat the
steps for the platform with disk.
Discuss your results in your conclusion. Is Newton’s law of motion for rotation consistent with
your observations? Do the slopes of the torque versus angular acceleration graphs predict
moments of inertia that agree with your calculated ones? Discuss sources of error. The presence
of a constant frictional torque would shift your graphs upward. Did your graphs indicate that
frictional torques were significant?
click on the smart pulley icon and set the pulley radius to .0155, then click on OK. Click and
drag the din connector icon onto analogue channel A and double click on Force Sensor. To
calibrate the force sensor double click on the force sensor icon. Enter 0 in the Low Value box and
4.9 in the High Value box. With no weight on the sensor click on Read in the Low Value row.
Hand a 500 gram mass on the force sensor and click on Read in the High Value row. Click on
Sampling Options and set a stop time of 3 s and click on OK twice. Drag the graph icon onto the
smart pulley icon and select velocity and click on Display. Click on the statistics icon E on the
lower left and then on the graph E and select Curve Fit and Linear Fit. Click on the new graph
icon on the lower left
Platform Moment of Inertia. With the empty platform secured so that it cannot rotate hang 50 g
of mass from the movable pulley. Release the platform and immediately click on the REC icon.
Record the accelerating mass of .05 kg, the slope of the graph, a2, and the average force in the
first three columns of table I. Repeat this for masses of 100 g and 150 gm and complete Table I.
Open Graphical Analysis and make a graph of torque, J, versus ". Label the columns and title
your graph. Click on the regression icon to get a linear fit and record the slope of this graph as Ip.
Platform with Disk. Place the disk on the platform and repeat the steps for the empty platform
using masses of 100 g, 200 g, 300 g, 400 g, and 500 g. Subtract the moment of inertia of the
platform that was determined from the data in table I to obtain a measured value of the moment
of inertia of the disk. Compute the percentage error from
percent error = 100% ⋅
I disk slope − I disk calc
I disk calc
Platform with Thick Ring. Remove the disk and place the thick ring on the platform. Repeat the
steps for the platform with disk.
Discuss your results in your conclusion. Is Newton’s law of motion for rotation consistent with
your observations? Do the slopes of the torque versus angular acceleration graphs predict
moments of inertia that agree with your calculated ones? Discuss sources of error. The presence
of a constant frictional torque would shift your graphs upward. Did your graphs indicate that
frictional torques were significant?
click on the smart pulley icon and set the pulley radius to .0155, then click on OK. Click and
drag the din connector icon onto analogue channel A and double click on Force Sensor. To
calibrate the force sensor double click on the force sensor icon. Enter 0 in the Low Value box and
4.9 in the High Value box. With no weight on the sensor click on Read in the Low Value row.
Hand a 500 gram mass on the force sensor and click on Read in the High Value row. Click on
Sampling Options and set a stop time of 3 s and click on OK twice. Drag the graph icon onto the
smart pulley icon and select velocity and click on Display. Click on the statistics icon E on the
lower left and then on the graph E and select Curve Fit and Linear Fit. Click on the new graph
icon on the lower left
Platform Moment of Inertia. With the empty platform secured so that it cannot rotate hang 50 g
of mass from the movable pulley. Release the platform and immediately click on the REC icon.
Record the accelerating mass of .05 kg, the slope of the graph, a2, and the average force in the
first three columns of table I. Repeat this for masses of 100 g and 150 gm and complete Table I.
Open Graphical Analysis and make a graph of torque, J, versus ". Label the columns and title
your graph. Click on the regression icon to get a linear fit and record the slope of this graph as Ip.
Platform with Disk. Place the disk on the platform and repeat the steps for the empty platform
using masses of 100 g, 200 g, 300 g, 400 g, and 500 g. Subtract the moment of inertia of the
platform that was determined from the data in table I to obtain a measured value of the moment
of inertia of the disk. Compute the percentage error from
percent error = 100% ⋅
I disk slope − I disk calc
I disk calc
Platform with Thick Ring. Remove the disk and place the thick ring on the platform. Repeat the
steps for the platform with disk.
Discuss your results in your conclusion. Is Newton’s law of motion for rotation consistent with
your observations? Do the slopes of the torque versus angular acceleration graphs predict
moments of inertia that agree with your calculated ones? Discuss sources of error. The presence
of a constant frictional torque would shift your graphs upward. Did your graphs indicate that
frictional torques were significant?
click on the smart pulley icon and set the pulley radius to .0155, then click on OK. Click and
drag the din connector icon onto analogue channel A and double click on Force Sensor. To
calibrate the force sensor double click on the force sensor icon. Enter 0 in the Low Value box and
4.9 in the High Value box. With no weight on the sensor click on Read in the Low Value row.
Hand a 500 gram mass on the force sensor and click on Read in the High Value row. Click on
Sampling Options and set a stop time of 3 s and click on OK twice. Drag the graph icon onto the
smart pulley icon and select velocity and click on Display. Click on the statistics icon E on the
lower left and then on the graph E and select Curve Fit and Linear Fit. Click on the new graph
icon on the lower left
Platform Moment of Inertia. With the empty platform secured so that it cannot rotate hang 50 g
of mass from the movable pulley. Release the platform and immediately click on the REC icon.
Record the accelerating mass of .05 kg, the slope of the graph, a2, and the average force in the
first three columns of table I. Repeat this for masses of 100 g and 150 gm and complete Table I.
Open Graphical Analysis and make a graph of torque, J, versus ". Label the columns and title
your graph. Click on the regression icon to get a linear fit and record the slope of this graph as Ip.
Platform with Disk. Place the disk on the platform and repeat the steps for the empty platform
using masses of 100 g, 200 g, 300 g, 400 g, and 500 g. Subtract the moment of inertia of the
platform that was determined from the data in table I to obtain a measured value of the moment
of inertia of the disk. Compute the percentage error from
percent error = 100% ⋅
I disk slope − I disk calc
I disk calc
Platform with Thick Ring. Remove the disk and place the thick ring on the platform. Repeat the
steps for the platform with disk.
Discuss your results in your conclusion. Is Newton’s law of motion for rotation consistent with
your observations? Do the slopes of the torque versus angular acceleration graphs predict
moments of inertia that agree with your calculated ones? Discuss sources of error. The presence
of a constant frictional torque would shift your graphs upward. Did your graphs indicate that
frictional torques were significant?
click on the smart pulley icon and set the pulley radius to .0155, then click on OK. Click and
drag the din connector icon onto analogue channel A and double click on Force Sensor. To
calibrate the force sensor double click on the force sensor icon. Enter 0 in the Low Value box and
4.9 in the High Value box. With no weight on the sensor click on Read in the Low Value row.
Hand a 500 gram mass on the force sensor and click on Read in the High Value row. Click on
Sampling Options and set a stop time of 3 s and click on OK twice. Drag the graph icon onto the
smart pulley icon and select velocity and click on Display. Click on the statistics icon E on the
lower left and then on the graph E and select Curve Fit and Linear Fit. Click on the new graph
icon on the lower left
Platform Moment of Inertia. With the empty platform secured so that it cannot rotate hang 50 g
of mass from the movable pulley. Release the platform and immediately click on the REC icon.
Record the accelerating mass of .05 kg, the slope of the graph, a2, and the average force in the
first three columns of table I. Repeat this for masses of 100 g and 150 gm and complete Table I.
Open Graphical Analysis and make a graph of torque, J, versus ". Label the columns and title
your graph. Click on the regression icon to get a linear fit and record the slope of this graph as Ip.
Platform with Disk. Place the disk on the platform and repeat the steps for the empty platform
using masses of 100 g, 200 g, 300 g, 400 g, and 500 g. Subtract the moment of inertia of the
platform that was determined from the data in table I to obtain a measured value of the moment
of inertia of the disk. Compute the percentage error from
percent error = 100% ⋅
I disk slope − I disk calc
I disk calc
Platform with Thick Ring. Remove the disk and place the thick ring on the platform. Repeat the
steps for the platform with disk.
Discuss your results in your conclusion. Is Newton’s law of motion for rotation consistent with
your observations? Do the slopes of the torque versus angular acceleration graphs predict
moments of inertia that agree with your calculated ones? Discuss sources of error. The presence
of a constant frictional torque would shift your graphs upward. Did your graphs indicate that
frictional torques were significant?
click on the smart pulley icon and set the pulley radius to .0155, then click on OK. Click and
drag the din connector icon onto analogue channel A and double click on Force Sensor. To
calibrate the force sensor double click on the force sensor icon. Enter 0 in the Low Value box and
4.9 in the High Value box. With no weight on the sensor click on Read in the Low Value row.
Hand a 500 gram mass on the force sensor and click on Read in the High Value row. Click on
Sampling Options and set a stop time of 3 s and click on OK twice. Drag the graph icon onto the
smart pulley icon and select velocity and click on Display. Click on the statistics icon E on the
lower left and then on the graph E and select Curve Fit and Linear Fit. Click on the new graph
icon on the lower left
Platform Moment of Inertia. With the empty platform secured so that it cannot rotate hang 50 g
of mass from the movable pulley. Release the platform and immediately click on the REC icon.
Record the accelerating mass of .05 kg, the slope of the graph, a2, and the average force in the
first three columns of table I. Repeat this for masses of 100 g and 150 gm and complete Table I.
Open Graphical Analysis and make a graph of torque, J, versus ". Label the columns and title
your graph. Click on the regression icon to get a linear fit and record the slope of this graph as Ip.
Platform with Disk. Place the disk on the platform and repeat the steps for the empty platform
using masses of 100 g, 200 g, 300 g, 400 g, and 500 g. Subtract the moment of inertia of the
platform that was determined from the data in table I to obtain a measured value of the moment
of inertia of the disk. Compute the percentage error from
percent error = 100% ⋅
I disk slope − I disk calc
I disk calc
Platform with Thick Ring. Remove the disk and place the thick ring on the platform. Repeat the
steps for the platform with disk.
Discuss your results in your conclusion. Is Newton’s law of motion for rotation consistent with
your observations? Do the slopes of the torque versus angular acceleration graphs predict
moments of inertia that agree with your calculated ones? Discuss sources of error. The presence
of a constant frictional torque would shift your graphs upward. Did your graphs indicate that
frictional torques were significant?
click on the smart pulley icon and set the pulley radius to .0155, then click on OK. Click and
drag the din connector icon onto analogue channel A and double click on Force Sensor. To
calibrate the force sensor double click on the force sensor icon. Enter 0 in the Low Value box and
4.9 in the High Value box. With no weight on the sensor click on Read in the Low Value row.
Hand a 500 gram mass on the force sensor and click on Read in the High Value row. Click on
Sampling Options and set a stop time of 3 s and click on OK twice. Drag the graph icon onto the
smart pulley icon and select velocity and click on Display. Click on the statistics icon E on the
lower left and then on the graph E and select Curve Fit and Linear Fit. Click on the new graph
icon on the lower left
Platform Moment of Inertia. With the empty platform secured so that it cannot rotate hang 50 g
of mass from the movable pulley. Release the platform and immediately click on the REC icon.
Record the accelerating mass of .05 kg, the slope of the graph, a2, and the average force in the
first three columns of table I. Repeat this for masses of 100 g and 150 gm and complete Table I.
Open Graphical Analysis and make a graph of torque, J, versus ". Label the columns and title
your graph. Click on the regression icon to get a linear fit and record the slope of this graph as Ip.
Platform with Disk. Place the disk on the platform and repeat the steps for the empty platform
using masses of 100 g, 200 g, 300 g, 400 g, and 500 g. Subtract the moment of inertia of the
platform that was determined from the data in table I to obtain a measured value of the moment
of inertia of the disk. Compute the percentage error from
percent error = 100% ⋅
I disk slope − I disk calc
I disk calc
Platform with Thick Ring. Remove the disk and place the thick ring on the platform. Repeat the
steps for the platform with disk.
Discuss your results in your conclusion. Is Newton’s law of motion for rotation consistent with
your observations? Do the slopes of the torque versus angular acceleration graphs predict
moments of inertia that agree with your calculated ones? Discuss sources of error. The presence
of a constant frictional torque would shift your graphs upward. Did your graphs indicate that
frictional torques were significant?
click on the smart pulley icon and set the pulley radius to .0155, then click on OK. Click and
drag the din connector icon onto analogue channel A and double click on Force Sensor. To
calibrate the force sensor double click on the force sensor icon. Enter 0 in the Low Value box and
4.9 in the High Value box. With no weight on the sensor click on Read in the Low Value row.
Hand a 500 gram mass on the force sensor and click on Read in the High Value row. Click on
Sampling Options and set a stop time of 3 s and click on OK twice. Drag the graph icon onto the
smart pulley icon and select velocity and click on Display. Click on the statistics icon E on the
lower left and then on the graph E and select Curve Fit and Linear Fit. Click on the new graph
icon on the lower left
Platform Moment of Inertia. With the empty platform secured so that it cannot rotate hang 50 g
of mass from the movable pulley. Release the platform and immediately click on the REC icon.
Record the accelerating mass of .05 kg, the slope of the graph, a2, and the average force in the
first three columns of table I. Repeat this for masses of 100 g and 150 gm and complete Table I.
Open Graphical Analysis and make a graph of torque, J, versus ". Label the columns and title
your graph. Click on the regression icon to get a linear fit and record the slope of this graph as Ip.
Platform with Disk. Place the disk on the platform and repeat the steps for the empty platform
using masses of 100 g, 200 g, 300 g, 400 g, and 500 g. Subtract the moment of inertia of the
platform that was determined from the data in table I to obtain a measured value of the moment
of inertia of the disk. Compute the percentage error from
percent error = 100% ⋅
I disk slope − I disk calc
I disk calc
Platform with Thick Ring. Remove the disk and place the thick ring on the platform. Repeat the
steps for the platform with disk.
Discuss your results in your conclusion. Is Newton’s law of motion for rotation consistent with
your observations? Do the slopes of the torque versus angular acceleration graphs predict
moments of inertia that agree with your calculated ones? Discuss sources of error. The presence
of a constant frictional torque would shift your graphs upward. Did your graphs indicate that
frictional torques were significant?
click on the smart pulley icon and set the pulley radius to .0155, then click on OK. Click and
drag the din connector icon onto analogue channel A and double click on Force Sensor. To
calibrate the force sensor double click on the force sensor icon. Enter 0 in the Low Value box and
4.9 in the High Value box. With no weight on the sensor click on Read in the Low Value row.
Hand a 500 gram mass on the force sensor and click on Read in the High Value row. Click on
Sampling Options and set a stop time of 3 s and click on OK twice. Drag the graph icon onto the
smart pulley icon and select velocity and click on Display. Click on the statistics icon E on the
lower left and then on the graph E and select Curve Fit and Linear Fit. Click on the new graph
icon on the lower left
Platform Moment of Inertia. With the empty platform secured so that it cannot rotate hang 50 g
of mass from the movable pulley. Release the platform and immediately click on the REC icon.
Record the accelerating mass of .05 kg, the slope of the graph, a2, and the average force in the
first three columns of table I. Repeat this for masses of 100 g and 150 gm and complete Table I.
Open Graphical Analysis and make a graph of torque, J, versus ". Label the columns and title
your graph. Click on the regression icon to get a linear fit and record the slope of this graph as Ip.
Platform with Disk. Place the disk on the platform and repeat the steps for the empty platform
using masses of 100 g, 200 g, 300 g, 400 g, and 500 g. Subtract the moment of inertia of the
platform that was determined from the data in table I to obtain a measured value of the moment
of inertia of the disk. Compute the percentage error from
percent error = 100% ⋅
I disk slope − I disk calc
I disk calc
Platform with Thick Ring. Remove the disk and place the thick ring on the platform. Repeat the
steps for the platform with disk.
Discuss your results in your conclusion. Is Newton’s law of motion for rotation consistent with
your observations? Do the slopes of the torque versus angular acceleration graphs predict
moments of inertia that agree with your calculated ones? Discuss sources of error. The presence
of a constant frictional torque would shift your graphs upward. Did your graphs indicate that
frictional torques were significant?
click on the smart pulley icon and set the pulley radius to .0155, then click on OK. Click and
drag the din connector icon onto analogue channel A and double click on Force Sensor. To
calibrate the force sensor double click on the force sensor icon. Enter 0 in the Low Value box and
4.9 in the High Value box. With no weight on the sensor click on Read in the Low Value row.
Hand a 500 gram mass on the force sensor and click on Read in the High Value row. Click on
Sampling Options and set a stop time of 3 s and click on OK twice. Drag the graph icon onto the
smart pulley icon and select velocity and click on Display. Click on the statistics icon E on the
lower left and then on the graph E and select Curve Fit and Linear Fit. Click on the new graph
icon on the lower left
Platform Moment of Inertia. With the empty platform secured so that it cannot rotate hang 50 g
of mass from the movable pulley. Release the platform and immediately click on the REC icon.
Record the accelerating mass of .05 kg, the slope of the graph, a2, and the average force in the
first three columns of table I. Repeat this for masses of 100 g and 150 gm and complete Table I.
Open Graphical Analysis and make a graph of torque, J, versus ". Label the columns and title
your graph. Click on the regression icon to get a linear fit and record the slope of this graph as Ip.
Platform with Disk. Place the disk on the platform and repeat the steps for the empty platform
using masses of 100 g, 200 g, 300 g, 400 g, and 500 g. Subtract the moment of inertia of the
platform that was determined from the data in table I to obtain a measured value of the moment
of inertia of the disk. Compute the percentage error from
percent error = 100% ⋅
I disk slope − I disk calc
I disk calc
Platform with Thick Ring. Remove the disk and place the thick ring on the platform. Repeat the
steps for the platform with disk.
Discuss your results in your conclusion. Is Newton’s law of motion for rotation consistent with
your observations? Do the slopes of the torque versus angular acceleration graphs predict
moments of inertia that agree with your calculated ones? Discuss sources of error. The presence
of a constant frictional torque would shift your graphs upward. Did your graphs indicate that
frictional torques were significant?
click on the smart pulley icon and set the pulley radius to .0155, then click on OK. Click and
drag the din connector icon onto analogue channel A and double click on Force Sensor. To
calibrate the force sensor double click on the force sensor icon. Enter 0 in the Low Value box and
4.9 in the High Value box. With no weight on the sensor click on Read in the Low Value row.
Hand a 500 gram mass on the force sensor and click on Read in the High Value row. Click on
Sampling Options and set a stop time of 3 s and click on OK twice. Drag the graph icon onto the
smart pulley icon and select velocity and click on Display. Click on the statistics icon E on the
lower left and then on the graph E and select Curve Fit and Linear Fit. Click on the new graph
icon on the lower left
Platform Moment of Inertia. With the empty platform secured so that it cannot rotate hang 50 g
of mass from the movable pulley. Release the platform and immediately click on the REC icon.
Record the accelerating mass of .05 kg, the slope of the graph, a2, and the average force in the
first three columns of table I. Repeat this for masses of 100 g and 150 gm and complete Table I.
Open Graphical Analysis and make a graph of torque, J, versus ". Label the columns and title
your graph. Click on the regression icon to get a linear fit and record the slope of this graph as Ip.
Platform with Disk. Place the disk on the platform and repeat the steps for the empty platform
using masses of 100 g, 200 g, 300 g, 400 g, and 500 g. Subtract the moment of inertia of the
platform that was determined from the data in table I to obtain a measured value of the moment
of inertia of the disk. Compute the percentage error from
percent error = 100% ⋅
I disk slope − I disk calc
I disk calc
Platform with Thick Ring. Remove the disk and place the thick ring on the platform. Repeat the
steps for the platform with disk.
Discuss your results in your conclusion. Is Newton’s law of motion for rotation consistent with
your observations? Do the slopes of the torque versus angular acceleration graphs predict
moments of inertia that agree with your calculated ones? Discuss sources of error. The presence
of a constant frictional torque would shift your graphs upward. Did your graphs indicate that
frictional torques were significant?
click on the smart pulley icon and set the pulley radius to .0155, then click on OK. Click and
drag the din connector icon onto analogue channel A and double click on Force Sensor. To
calibrate the force sensor double click on the force sensor icon. Enter 0 in the Low Value box and
4.9 in the High Value box. With no weight on the sensor click on Read in the Low Value row.
Hand a 500 gram mass on the force sensor and click on Read in the High Value row. Click on
Sampling Options and set a stop time of 3 s and click on OK twice. Drag the graph icon onto the
smart pulley icon and select velocity and click on Display. Click on the statistics icon E on the
lower left and then on the graph E and select Curve Fit and Linear Fit. Click on the new graph
icon on the lower left
Platform Moment of Inertia. With the empty platform secured so that it cannot rotate hang 50 g
of mass from the movable pulley. Release the platform and immediately click on the REC icon.
Record the accelerating mass of .05 kg, the slope of the graph, a2, and the average force in the
first three columns of table I. Repeat this for masses of 100 g and 150 gm and complete Table I.
Open Graphical Analysis and make a graph of torque, J, versus ". Label the columns and title
your graph. Click on the regression icon to get a linear fit and record the slope of this graph as Ip.
Platform with Disk. Place the disk on the platform and repeat the steps for the empty platform
using masses of 100 g, 200 g, 300 g, 400 g, and 500 g. Subtract the moment of inertia of the
platform that was determined from the data in table I to obtain a measured value of the moment
of inertia of the disk. Compute the percentage error from
percent error = 100% ⋅
I disk slope − I disk calc
I disk calc
Platform with Thick Ring. Remove the disk and place the thick ring on the platform. Repeat the
steps for the platform with disk.
Discuss your results in your conclusion. Is Newton’s law of motion for rotation consistent with
your observations? Do the slopes of the torque versus angular acceleration graphs predict
moments of inertia that agree with your calculated ones? Discuss sources of error. The presence
of a constant frictional torque would shift your graphs upward. Did your graphs indicate that
frictional torques were significant?
click on the smart pulley icon and set the pulley radius to .0155, then click on OK. Click and
drag the din connector icon onto analogue channel A and double click on Force Sensor. To
calibrate the force sensor double click on the force sensor icon. Enter 0 in the Low Value box and
4.9 in the High Value box. With no weight on the sensor click on Read in the Low Value row.
Hand a 500 gram mass on the force sensor and click on Read in the High Value row. Click on
Sampling Options and set a stop time of 3 s and click on OK twice. Drag the graph icon onto the
smart pulley icon and select velocity and click on Display. Click on the statistics icon E on the
lower left and then on the graph E and select Curve Fit and Linear Fit. Click on the new graph
icon on the lower left
Platform Moment of Inertia. With the empty platform secured so that it cannot rotate hang 50 g
of mass from the movable pulley. Release the platform and immediately click on the REC icon.
Record the accelerating mass of .05 kg, the slope of the graph, a2, and the average force in the
first three columns of table I. Repeat this for masses of 100 g and 150 gm and complete Table I.
Open Graphical Analysis and make a graph of torque, J, versus ". Label the columns and title
your graph. Click on the regression icon to get a linear fit and record the slope of this graph as Ip.
Platform with Disk. Place the disk on the platform and repeat the steps for the empty platform
using masses of 100 g, 200 g, 300 g, 400 g, and 500 g. Subtract the moment of inertia of the
platform that was determined from the data in table I to obtain a measured value of the moment
of inertia of the disk. Compute the percentage error from
percent error = 100% ⋅
I disk slope − I disk calc
I disk calc
Platform with Thick Ring. Remove the disk and place the thick ring on the platform. Repeat the
steps for the platform with disk.
Discuss your results in your conclusion. Is Newton’s law of motion for rotation consistent with
your observations? Do the slopes of the torque versus angular acceleration graphs predict
moments of inertia that agree with your calculated ones? Discuss sources of error. The presence
of a constant frictional torque would shift your graphs upward. Did your graphs indicate that
frictional torques were significant?
click on the smart pulley icon and set the pulley radius to .0155, then click on OK. Click and
drag the din connector icon onto analogue channel A and double click on Force Sensor. To
calibrate the force sensor double click on the force sensor icon. Enter 0 in the Low Value box and
4.9 in the High Value box. With no weight on the sensor click on Read in the Low Value row.
Hand a 500 gram mass on the force sensor and click on Read in the High Value row. Click on
Sampling Options and set a stop time of 3 s and click on OK twice. Drag the graph icon onto the
smart pulley icon and select velocity and click on Display. Click on the statistics icon E on the
lower left and then on the graph E and select Curve Fit and Linear Fit. Click on the new graph
icon on the lower left
Platform Moment of Inertia. With the empty platform secured so that it cannot rotate hang 50 g
of mass from the movable pulley. Release the platform and immediately click on the REC icon.
Record the accelerating mass of .05 kg, the slope of the graph, a2, and the average force in the
first three columns of table I. Repeat this for masses of 100 g and 150 gm and complete Table I.
Open Graphical Analysis and make a graph of torque, J, versus ". Label the columns and title
your graph. Click on the regression icon to get a linear fit and record the slope of this graph as Ip.
Platform with Disk. Place the disk on the platform and repeat the steps for the empty platform
using masses of 100 g, 200 g, 300 g, 400 g, and 500 g. Subtract the moment of inertia of the
platform that was determined from the data in table I to obtain a measured value of the moment
of inertia of the disk. Compute the percentage error from
percent error = 100% ⋅
I disk slope − I disk calc
I disk calc
Platform with Thick Ring. Remove the disk and place the thick ring on the platform. Repeat the
steps for the platform with disk.
Discuss your results in your conclusion. Is Newton’s law of motion for rotation consistent with
your observations? Do the slopes of the torque versus angular acceleration graphs predict
moments of inertia that agree with your calculated ones? Discuss sources of error. The presence
of a constant frictional torque would shift your graphs upward. Did your graphs indicate that
frictional torques were significant?
click on the smart pulley icon and set the pulley radius to .0155, then click on OK. Click and
drag the din connector icon onto analogue channel A and double click on Force Sensor. To
calibrate the force sensor double click on the force sensor icon. Enter 0 in the Low Value box and
4.9 in the High Value box. With no weight on the sensor click on Read in the Low Value row.
Hand a 500 gram mass on the force sensor and click on Read in the High Value row. Click on
Sampling Options and set a stop time of 3 s and click on OK twice. Drag the graph icon onto the
smart pulley icon and select velocity and click on Display. Click on the statistics icon E on the
lower left and then on the graph E and select Curve Fit and Linear Fit. Click on the new graph
icon on the lower left
Platform Moment of Inertia. With the empty platform secured so that it cannot rotate hang 50 g
of mass from the movable pulley. Release the platform and immediately click on the REC icon.
Record the accelerating mass of .05 kg, the slope of the graph, a2, and the average force in the
first three columns of table I. Repeat this for masses of 100 g and 150 gm and complete Table I.
Open Graphical Analysis and make a graph of torque, J, versus ". Label the columns and title
your graph. Click on the regression icon to get a linear fit and record the slope of this graph as Ip.
Platform with Disk. Place the disk on the platform and repeat the steps for the empty platform
using masses of 100 g, 200 g, 300 g, 400 g, and 500 g. Subtract the moment of inertia of the
platform that was determined from the data in table I to obtain a measured value of the moment
of inertia of the disk. Compute the percentage error from
percent error = 100% ⋅
I disk slope − I disk calc
I disk calc
Platform with Thick Ring. Remove the disk and place the thick ring on the platform. Repeat the
steps for the platform with disk.
Discuss your results in your conclusion. Is Newton’s law of motion for rotation consistent with
your observations? Do the slopes of the torque versus angular acceleration graphs predict
moments of inertia that agree with your calculated ones? Discuss sources of error. The presence
of a constant frictional torque would shift your graphs upward. Did your graphs indicate that
frictional torques were significant?
click on the smart pulley icon and set the pulley radius to .0155, then click on OK. Click and
drag the din connector icon onto analogue channel A and double click on Force Sensor. To
calibrate the force sensor double click on the force sensor icon. Enter 0 in the Low Value box and
4.9 in the High Value box. With no weight on the sensor click on Read in the Low Value row.
Hand a 500 gram mass on the force sensor and click on Read in the High Value row. Click on
Sampling Options and set a stop time of 3 s and click on OK twice. Drag the graph icon onto the
smart pulley icon and select velocity and click on Display. Click on the statistics icon E on the
lower left and then on the graph E and select Curve Fit and Linear Fit. Click on the new graph
icon on the lower left
Platform Moment of Inertia. With the empty platform secured so that it cannot rotate hang 50 g
of mass from the movable pulley. Release the platform and immediately click on the REC icon.
Record the accelerating mass of .05 kg, the slope of the graph, a2, and the average force in the
first three columns of table I. Repeat this for masses of 100 g and 150 gm and complete Table I.
Open Graphical Analysis and make a graph of torque, J, versus ". Label the columns and title
your graph. Click on the regression icon to get a linear fit and record the slope of this graph as Ip.
Platform with Disk. Place the disk on the platform and repeat the steps for the empty platform
using masses of 100 g, 200 g, 300 g, 400 g, and 500 g. Subtract the moment of inertia of the
platform that was determined from the data in table I to obtain a measured value of the moment
of inertia of the disk. Compute the percentage error from
percent error = 100% ⋅
I disk slope − I disk calc
I disk calc
Platform with Thick Ring. Remove the disk and place the thick ring on the platform. Repeat the
steps for the platform with disk.
Discuss your results in your conclusion. Is Newton’s law of motion for rotation consistent with
your observations? Do the slopes of the torque versus angular acceleration graphs predict
moments of inertia that agree with your calculated ones? Discuss sources of error. The presence
of a constant frictional torque would shift your graphs upward. Did your graphs indicate that
frictional torques were significant?
click on the smart pulley icon and set the pulley radius to .0155, then click on OK. Click and
drag the din connector icon onto analogue channel A and double click on Force Sensor. To
calibrate the force sensor double click on the force sensor icon. Enter 0 in the Low Value box and
4.9 in the High Value box. With no weight on the sensor click on Read in the Low Value row.
Hand a 500 gram mass on the force sensor and click on Read in the High Value row. Click on
Sampling Options and set a stop time of 3 s and click on OK twice. Drag the graph icon onto the
smart pulley icon and select velocity and click on Display. Click on the statistics icon E on the
lower left and then on the graph E and select Curve Fit and Linear Fit. Click on the new graph
icon on the lower left
Platform Moment of Inertia. With the empty platform secured so that it cannot rotate hang 50 g
of mass from the movable pulley. Release the platform and immediately click on the REC icon.
Record the accelerating mass of .05 kg, the slope of the graph, a2, and the average force in the
first three columns of table I. Repeat this for masses of 100 g and 150 gm and complete Table I.
Open Graphical Analysis and make a graph of torque, J, versus ". Label the columns and title
your graph. Click on the regression icon to get a linear fit and record the slope of this graph as Ip.
Platform with Disk. Place the disk on the platform and repeat the steps for the empty platform
using masses of 100 g, 200 g, 300 g, 400 g, and 500 g. Subtract the moment of inertia of the
platform that was determined from the data in table I to obtain a measured value of the moment
of inertia of the disk. Compute the percentage error from
percent error = 100% ⋅
I disk slope − I disk calc
I disk calc
Platform with Thick Ring. Remove the disk and place the thick ring on the platform. Repeat the
steps for the platform with disk.
Discuss your results in your conclusion. Is Newton’s law of motion for rotation consistent with
your observations? Do the slopes of the torque versus angular acceleration graphs predict
moments of inertia that agree with your calculated ones? Discuss sources of error. The presence
of a constant frictional torque would shift your graphs upward. Did your graphs indicate that
frictional torques were significant?
click on the smart pulley icon and set the pulley radius to .0155, then click on OK. Click and
drag the din connector icon onto analogue channel A and double click on Force Sensor. To
calibrate the force sensor double click on the force sensor icon. Enter 0 in the Low Value box and
4.9 in the High Value box. With no weight on the sensor click on Read in the Low Value row.
Hand a 500 gram mass on the force sensor and click on Read in the High Value row. Click on
Sampling Options and set a stop time of 3 s and click on OK twice. Drag the graph icon onto the
smart pulley icon and select velocity and click on Display. Click on the statistics icon E on the
lower left and then on the graph E and select Curve Fit and Linear Fit. Click on the new graph
icon on the lower left
Platform Moment of Inertia. With the empty platform secured so that it cannot rotate hang 50 g
of mass from the movable pulley. Release the platform and immediately click on the REC icon.
Record the accelerating mass of .05 kg, the slope of the graph, a2, and the average force in the
first three columns of table I. Repeat this for masses of 100 g and 150 gm and complete Table I.
Open Graphical Analysis and make a graph of torque, J, versus ". Label the columns and title
your graph. Click on the regression icon to get a linear fit and record the slope of this graph as Ip.
Platform with Disk. Place the disk on the platform and repeat the steps for the empty platform
using masses of 100 g, 200 g, 300 g, 400 g, and 500 g. Subtract the moment of inertia of the
platform that was determined from the data in table I to obtain a measured value of the moment
of inertia of the disk. Compute the percentage error from
percent error = 100% ⋅
I disk slope − I disk calc
I disk calc
Platform with Thick Ring. Remove the disk and place the thick ring on the platform. Repeat the
steps for the platform with disk.
Discuss your results in your conclusion. Is Newton’s law of motion for rotation consistent with
your observations? Do the slopes of the torque versus angular acceleration graphs predict
moments of inertia that agree with your calculated ones? Discuss sources of error. The presence
of a constant frictional torque would shift your graphs upward. Did your graphs indicate that
frictional torques were significant?
click on the smart pulley icon and set the pulley radius to .0155, then click on OK. Click and
drag the din connector icon onto analogue channel A and double click on Force Sensor. To
calibrate the force sensor double click on the force sensor icon. Enter 0 in the Low Value box and
4.9 in the High Value box. With no weight on the sensor click on Read in the Low Value row.
Hand a 500 gram mass on the force sensor and click on Read in the High Value row. Click on
Sampling Options and set a stop time of 3 s and click on OK twice. Drag the graph icon onto the
smart pulley icon and select velocity and click on Display. Click on the statistics icon E on the
lower left and then on the graph E and select Curve Fit and Linear Fit. Click on the new graph
icon on the lower left
Platform Moment of Inertia. With the empty platform secured so that it cannot rotate hang 50 g
of mass from the movable pulley. Release the platform and immediately click on the REC icon.
Record the accelerating mass of .05 kg, the slope of the graph, a2, and the average force in the
first three columns of table I. Repeat this for masses of 100 g and 150 gm and complete Table I.
Open Graphical Analysis and make a graph of torque, J, versus ". Label the columns and title
your graph. Click on the regression icon to get a linear fit and record the slope of this graph as Ip.
Platform with Disk. Place the disk on the platform and repeat the steps for the empty platform
using masses of 100 g, 200 g, 300 g, 400 g, and 500 g. Subtract the moment of inertia of the
platform that was determined from the data in table I to obtain a measured value of the moment
of inertia of the disk. Compute the percentage error from
percent error = 100% ⋅
I disk slope − I disk calc
I disk calc
Platform with Thick Ring. Remove the disk and place the thick ring on the platform. Repeat the
steps for the platform with disk.
Discuss your results in your conclusion. Is Newton’s law of motion for rotation consistent with
your observations? Do the slopes of the torque versus angular acceleration graphs predict
moments of inertia that agree with your calculated ones? Discuss sources of error. The presence
of a constant frictional torque would shift your graphs upward. Did your graphs indicate that
frictional torques were significant?
click on the smart pulley icon and set the pulley radius to .0155, then click on OK. Click and
drag the din connector icon onto analogue channel A and double click on Force Sensor. To
calibrate the force sensor double click on the force sensor icon. Enter 0 in the Low Value box and
4.9 in the High Value box. With no weight on the sensor click on Read in the Low Value row.
Hand a 500 gram mass on the force sensor and click on Read in the High Value row. Click on
Sampling Options and set a stop time of 3 s and click on OK twice. Drag the graph icon onto the
smart pulley icon and select velocity and click on Display. Click on the statistics icon E on the
lower left and then on the graph E and select Curve Fit and Linear Fit. Click on the new graph
icon on the lower left
Platform Moment of Inertia. With the empty platform secured so that it cannot rotate hang 50 g
of mass from the movable pulley. Release the platform and immediately click on the REC icon.
Record the accelerating mass of .05 kg, the slope of the graph, a2, and the average force in the
first three columns of table I. Repeat this for masses of 100 g and 150 gm and complete Table I.
Open Graphical Analysis and make a graph of torque, J, versus ". Label the columns and title
your graph. Click on the regression icon to get a linear fit and record the slope of this graph as Ip.
Platform with Disk. Place the disk on the platform and repeat the steps for the empty platform
using masses of 100 g, 200 g, 300 g, 400 g, and 500 g. Subtract the moment of inertia of the
platform that was determined from the data in table I to obtain a measured value of the moment
of inertia of the disk. Compute the percentage error from
percent error = 100% ⋅
I disk slope − I disk calc
I disk calc
Platform with Thick Ring. Remove the disk and place the thick ring on the platform. Repeat the
steps for the platform with disk.
Discuss your results in your conclusion. Is Newton’s law of motion for rotation consistent with
your observations? Do the slopes of the torque versus angular acceleration graphs predict
moments of inertia that agree with your calculated ones? Discuss sources of error. The presence
of a constant frictional torque would shift your graphs upward. Did your graphs indicate that
frictional torques were significant?
click on the smart pulley icon and set the pulley radius to .0155, then click on OK. Click and
drag the din connector icon onto analogue channel A and double click on Force Sensor. To
calibrate the force sensor double click on the force sensor icon. Enter 0 in the Low Value box and
4.9 in the High Value box. With no weight on the sensor click on Read in the Low Value row.
Hand a 500 gram mass on the force sensor and click on Read in the High Value row. Click on
Sampling Options and set a stop time of 3 s and click on OK twice. Drag the graph icon onto the
smart pulley icon and select velocity and click on Display. Click on the statistics icon E on the
lower left and then on the graph E and select Curve Fit and Linear Fit. Click on the new graph
icon on the lower left
Platform Moment of Inertia. With the empty platform secured so that it cannot rotate hang 50 g
of mass from the movable pulley. Release the platform and immediately click on the REC icon.
Record the accelerating mass of .05 kg, the slope of the graph, a2, and the average force in the
first three columns of table I. Repeat this for masses of 100 g and 150 gm and complete Table I.
Open Graphical Analysis and make a graph of torque, J, versus ". Label the columns and title
your graph. Click on the regression icon to get a linear fit and record the slope of this graph as Ip.
Platform with Disk. Place the disk on the platform and repeat the steps for the empty platform
using masses of 100 g, 200 g, 300 g, 400 g, and 500 g. Subtract the moment of inertia of the
platform that was determined from the data in table I to obtain a measured value of the moment
of inertia of the disk. Compute the percentage error from
percent error = 100% ⋅
I disk slope − I disk calc
I disk calc
Platform with Thick Ring. Remove the disk and place the thick ring on the platform. Repeat the
steps for the platform with disk.
Discuss your results in your conclusion. Is Newton’s law of motion for rotation consistent with
your observations? Do the slopes of the torque versus angular acceleration graphs predict
moments of inertia that agree with your calculated ones? Discuss sources of error. The presence
of a constant frictional torque would shift your graphs upward. Did your graphs indicate that
frictional torques were significant?
click on the smart pulley icon and set the pulley radius to .0155, then click on OK. Click and
drag the din connector icon onto analogue channel A and double click on Force Sensor. To
calibrate the force sensor double click on the force sensor icon. Enter 0 in the Low Value box and
4.9 in the High Value box. With no weight on the sensor click on Read in the Low Value row.
Hand a 500 gram mass on the force sensor and click on Read in the High Value row. Click on
Sampling Options and set a stop time of 3 s and click on OK twice. Drag the graph icon onto the
smart pulley icon and select velocity and click on Display. Click on the statistics icon E on the
lower left and then on the graph E and select Curve Fit and Linear Fit. Click on the new graph
icon on the lower left
Platform Moment of Inertia. With the empty platform secured so that it cannot rotate hang 50 g
of mass from the movable pulley. Release the platform and immediately click on the REC icon.
Record the accelerating mass of .05 kg, the slope of the graph, a2, and the average force in the
first three columns of table I. Repeat this for masses of 100 g and 150 gm and complete Table I.
Open Graphical Analysis and make a graph of torque, J, versus ". Label the columns and title
your graph. Click on the regression icon to get a linear fit and record the slope of this graph as Ip.
Platform with Disk. Place the disk on the platform and repeat the steps for the empty platform
using masses of 100 g, 200 g, 300 g, 400 g, and 500 g. Subtract the moment of inertia of the
platform that was determined from the data in table I to obtain a measured value of the moment
of inertia of the disk. Compute the percentage error from
percent error = 100% ⋅
I disk slope − I disk calc
I disk calc
Platform with Thick Ring. Remove the disk and place the thick ring on the platform. Repeat the
steps for the platform with disk.
Discuss your results in your conclusion. Is Newton’s law of motion for rotation consistent with
your observations? Do the slopes of the torque versus angular acceleration graphs predict
moments of inertia that agree with your calculated ones? Discuss sources of error. The presence
of a constant frictional torque would shift your graphs upward. Did your graphs indicate that
frictional torques were significant?
click on the smart pulley icon and set the pulley radius to .0155, then click on OK. Click and
drag the din connector icon onto analogue channel A and double click on Force Sensor. To
calibrate the force sensor double click on the force sensor icon. Enter 0 in the Low Value box and
4.9 in the High Value box. With no weight on the sensor click on Read in the Low Value row.
Hand a 500 gram mass on the force sensor and click on Read in the High Value row. Click on
Sampling Options and set a stop time of 3 s and click on OK twice. Drag the graph icon onto the
smart pulley icon and select velocity and click on Display. Click on the statistics icon E on the
lower left and then on the graph E and select Curve Fit and Linear Fit. Click on the new graph
icon on the lower left
Platform Moment of Inertia. With the empty platform secured so that it cannot rotate hang 50 g
of mass from the movable pulley. Release the platform and immediately click on the REC icon.
Record the accelerating mass of .05 kg, the slope of the graph, a2, and the average force in the
first three columns of table I. Repeat this for masses of 100 g and 150 gm and complete Table I.
Open Graphical Analysis and make a graph of torque, J, versus ". Label the columns and title
your graph. Click on the regression icon to get a linear fit and record the slope of this graph as Ip.
Platform with Disk. Place the disk on the platform and repeat the steps for the empty platform
using masses of 100 g, 200 g, 300 g, 400 g, and 500 g. Subtract the moment of inertia of the
platform that was determined from the data in table I to obtain a measured value of the moment
of inertia of the disk. Compute the percentage error from
percent error = 100% ⋅
I disk slope − I disk calc
I disk calc
Platform with Thick Ring. Remove the disk and place the thick ring on the platform. Repeat the
steps for the platform with disk.
Discuss your results in your conclusion. Is Newton’s law of motion for rotation consistent with
your observations? Do the slopes of the torque versus angular acceleration graphs predict
moments of inertia that agree with your calculated ones? Discuss sources of error. The presence
of a constant frictional torque would shift your graphs upward. Did your graphs indicate that
frictional torques were significant?
click on the smart pulley icon and set the pulley radius to .0155, then click on OK. Click and
drag the din connector icon onto analogue channel A and double click on Force Sensor. To
calibrate the force sensor double click on the force sensor icon. Enter 0 in the Low Value box and
4.9 in the High Value box. With no weight on the sensor click on Read in the Low Value row.
Hand a 500 gram mass on the force sensor and click on Read in the High Value row. Click on
Sampling Options and set a stop time of 3 s and click on OK twice. Drag the graph icon onto the
smart pulley icon and select velocity and click on Display. Click on the statistics icon E on the
lower left and then on the graph E and select Curve Fit and Linear Fit. Click on the new graph
icon on the lower left
Platform Moment of Inertia. With the empty platform secured so that it cannot rotate hang 50 g
of mass from the movable pulley. Release the platform and immediately click on the REC icon.
Record the accelerating mass of .05 kg, the slope of the graph, a2, and the average force in the
first three columns of table I. Repeat this for masses of 100 g and 150 gm and complete Table I.
Open Graphical Analysis and make a graph of torque, J, versus ". Label the columns and title
your graph. Click on the regression icon to get a linear fit and record the slope of this graph as Ip.
Platform with Disk. Place the disk on the platform and repeat the steps for the empty platform
using masses of 100 g, 200 g, 300 g, 400 g, and 500 g. Subtract the moment of inertia of the
platform that was determined from the data in table I to obtain a measured value of the moment
of inertia of the disk. Compute the percentage error from
percent error = 100% ⋅
I disk slope − I disk calc
I disk calc
Platform with Thick Ring. Remove the disk and place the thick ring on the platform. Repeat the
steps for the platform with disk.
Discuss your results in your conclusion. Is Newton’s law of motion for rotation consistent with
your observations? Do the slopes of the torque versus angular acceleration graphs predict
moments of inertia that agree with your calculated ones? Discuss sources of error. The presence
of a constant frictional torque would shift your graphs upward. Did your graphs indicate that
frictional torques were significant?
click on the smart pulley icon and set the pulley radius to .0155, then click on OK. Click and
drag the din connector icon onto analogue channel A and double click on Force Sensor. To
calibrate the force sensor double click on the force sensor icon. Enter 0 in the Low Value box and
4.9 in the High Value box. With no weight on the sensor click on Read in the Low Value row.
Hand a 500 gram mass on the force sensor and click on Read in the High Value row. Click on
Sampling Options and set a stop time of 3 s and click on OK twice. Drag the graph icon onto the
smart pulley icon and select velocity and click on Display. Click on the statistics icon E on the
lower left and then on the graph E and select Curve Fit and Linear Fit. Click on the new graph
icon on the lower left
Platform Moment of Inertia. With the empty platform secured so that it cannot rotate hang 50 g
of mass from the movable pulley. Release the platform and immediately click on the REC icon.
Record the accelerating mass of .05 kg, the slope of the graph, a2, and the average force in the
first three columns of table I. Repeat this for masses of 100 g and 150 gm and complete Table I.
Open Graphical Analysis and make a graph of torque, J, versus ". Label the columns and title
your graph. Click on the regression icon to get a linear fit and record the slope of this graph as Ip.
Platform with Disk. Place the disk on the platform and repeat the steps for the empty platform
using masses of 100 g, 200 g, 300 g, 400 g, and 500 g. Subtract the moment of inertia of the
platform that was determined from the data in table I to obtain a measured value of the moment
of inertia of the disk. Compute the percentage error from
percent error = 100% ⋅
I disk slope − I disk calc
I disk calc
Platform with Thick Ring. Remove the disk and place the thick ring on the platform. Repeat the
steps for the platform with disk.
Discuss your results in your conclusion. Is Newton’s law of motion for rotation consistent with
your observations? Do the slopes of the torque versus angular acceleration graphs predict
moments of inertia that agree with your calculated ones? Discuss sources of error. The presence
of a constant frictional torque would shift your graphs upward. Did your graphs indicate that
frictional torques were significant?
click on the smart pulley icon and set the pulley radius to .0155, then click on OK. Click and
drag the din connector icon onto analogue channel A and double click on Force Sensor. To
calibrate the force sensor double click on the force sensor icon. Enter 0 in the Low Value box and
4.9 in the High Value box. With no weight on the sensor click on Read in the Low Value row.
Hand a 500 gram mass on the force sensor and click on Read in the High Value row. Click on
Sampling Options and set a stop time of 3 s and click on OK twice. Drag the graph icon onto the
smart pulley icon and select velocity and click on Display. Click on the statistics icon E on the
lower left and then on the graph E and select Curve Fit and Linear Fit. Click on the new graph
icon on the lower left
Platform Moment of Inertia. With the empty platform secured so that it cannot rotate hang 50 g
of mass from the movable pulley. Release the platform and immediately click on the REC icon.
Record the accelerating mass of .05 kg, the slope of the graph, a2, and the average force in the
first three columns of table I. Repeat this for masses of 100 g and 150 gm and complete Table I.
Open Graphical Analysis and make a graph of torque, J, versus ". Label the columns and title
your graph. Click on the regression icon to get a linear fit and record the slope of this graph as Ip.
Platform with Disk. Place the disk on the platform and repeat the steps for the empty platform
using masses of 100 g, 200 g, 300 g, 400 g, and 500 g. Subtract the moment of inertia of the
platform that was determined from the data in table I to obtain a measured value of the moment
of inertia of the disk. Compute the percentage error from
percent error = 100% ⋅
I disk slope − I disk calc
I disk calc
Platform with Thick Ring. Remove the disk and place the thick ring on the platform. Repeat the
steps for the platform with disk.
Discuss your results in your conclusion. Is Newton’s law of motion for rotation consistent with
your observations? Do the slopes of the torque versus angular acceleration graphs predict
moments of inertia that agree with your calculated ones? Discuss sources of error. The presence
of a constant frictional torque would shift your graphs upward. Did your graphs indicate that
frictional torques were significant?
click on the smart pulley icon and set the pulley radius to .0155, then click on OK. Click and
drag the din connector icon onto analogue channel A and double click on Force Sensor. To
calibrate the force sensor double click on the force sensor icon. Enter 0 in the Low Value box and
4.9 in the High Value box. With no weight on the sensor click on Read in the Low Value row.
Hand a 500 gram mass on the force sensor and click on Read in the High Value row. Click on
Sampling Options and set a stop time of 3 s and click on OK twice. Drag the graph icon onto the
smart pulley icon and select velocity and click on Display. Click on the statistics icon E on the
lower left and then on the graph E and select Curve Fit and Linear Fit. Click on the new graph
icon on the lower left
Platform Moment of Inertia. With the empty platform secured so that it cannot rotate hang 50 g
of mass from the movable pulley. Release the platform and immediately click on the REC icon.
Record the accelerating mass of .05 kg, the slope of the graph, a2, and the average force in the
first three columns of table I. Repeat this for masses of 100 g and 150 gm and complete Table I.
Open Graphical Analysis and make a graph of torque, J, versus ". Label the columns and title
your graph. Click on the regression icon to get a linear fit and record the slope of this graph as Ip.
Platform with Disk. Place the disk on the platform and repeat the steps for the empty platform
using masses of 100 g, 200 g, 300 g, 400 g, and 500 g. Subtract the moment of inertia of the
platform that was determined from the data in table I to obtain a measured value of the moment
of inertia of the disk. Compute the percentage error from
percent error = 100% ⋅
I disk slope − I disk calc
I disk calc
Platform with Thick Ring. Remove the disk and place the thick ring on the platform. Repeat the
steps for the platform with disk.
Discuss your results in your conclusion. Is Newton’s law of motion for rotation consistent with
your observations? Do the slopes of the torque versus angular acceleration graphs predict
moments of inertia that agree with your calculated ones? Discuss sources of error. The presence
of a constant frictional torque would shift your graphs upward. Did your graphs indicate that
frictional torques were significant?
d=
b = d/2 =
Mdisk =
Ddisk =
Rdisk = Ddisk/2 =
Douter =
Router = Douter/2 =
Dinner =
Rinner = Dinner/2 =
Mthick ring =
Idisk =
Ithick ring =
Table I Empty Platform
m
a
F
" = a/b
J=Fb
F
" = a/b
J=Fb
F
" = a/b
J=Fb
Ip =
Table II Platform with Disk
m
a
Itot =
Table III Platform with Thick Ring
m
Itot =
a
d=
b = d/2 =
Mdisk =
Ddisk =
Rdisk = Ddisk/2 =
Douter =
Router = Douter/2 =
Dinner =
Rinner = Dinner/2 =
Mthick ring =
Idisk =
Ithick ring =
Table I Empty Platform
m
a
F
" = a/b
J=Fb
F
" = a/b
J=Fb
F
" = a/b
J=Fb
Ip =
Table II Platform with Disk
m
a
Itot =
Table III Platform with Thick Ring
m
Itot =
a
d=
b = d/2 =
Mdisk =
Ddisk =
Rdisk = Ddisk/2 =
Douter =
Router = Douter/2 =
Dinner =
Rinner = Dinner/2 =
Mthick ring =
Idisk =
Ithick ring =
Table I Empty Platform
m
a
F
" = a/b
J=Fb
F
" = a/b
J=Fb
F
" = a/b
J=Fb
Ip =
Table II Platform with Disk
m
a
Itot =
Table III Platform with Thick Ring
m
Itot =
a
d=
b = d/2 =
Mdisk =
Ddisk =
Rdisk = Ddisk/2 =
Douter =
Router = Douter/2 =
Dinner =
Rinner = Dinner/2 =
Mthick ring =
Idisk =
Ithick ring =
Table I Empty Platform
m
a
F
" = a/b
J=Fb
F
" = a/b
J=Fb
F
" = a/b
J=Fb
Ip =
Table II Platform with Disk
m
a
Itot =
Table III Platform with Thick Ring
m
Itot =
a
d=
b = d/2 =
Mdisk =
Ddisk =
Rdisk = Ddisk/2 =
Douter =
Router = Douter/2 =
Dinner =
Rinner = Dinner/2 =
Mthick ring =
Idisk =
Ithick ring =
Table I Empty Platform
m
a
F
" = a/b
J=Fb
F
" = a/b
J=Fb
F
" = a/b
J=Fb
Ip =
Table II Platform with Disk
m
a
Itot =
Table III Platform with Thick Ring
m
Itot =
a
d=
b = d/2 =
Mdisk =
Ddisk =
Rdisk = Ddisk/2 =
Douter =
Router = Douter/2 =
Dinner =
Rinner = Dinner/2 =
Mthick ring =
Idisk =
Ithick ring =
Table I Empty Platform
m
a
F
" = a/b
J=Fb
F
" = a/b
J=Fb
F
" = a/b
J=Fb
Ip =
Table II Platform with Disk
m
a
Itot =
Table III Platform with Thick Ring
m
Itot =
a
d=
b = d/2 =
Mdisk =
Ddisk =
Rdisk = Ddisk/2 =
Douter =
Router = Douter/2 =
Dinner =
Rinner = Dinner/2 =
Mthick ring =
Idisk =
Ithick ring =
Table I Empty Platform
m
a
F
" = a/b
J=Fb
F
" = a/b
J=Fb
F
" = a/b
J=Fb
Ip =
Table II Platform with Disk
m
a
Itot =
Table III Platform with Thick Ring
m
Itot =
a
d=
b = d/2 =
Mdisk =
Ddisk =
Rdisk = Ddisk/2 =
Douter =
Router = Douter/2 =
Dinner =
Rinner = Dinner/2 =
Mthick ring =
Idisk =
Ithick ring =
Table I Empty Platform
m
a
F
" = a/b
J=Fb
F
" = a/b
J=Fb
F
" = a/b
J=Fb
Ip =
Table II Platform with Disk
m
a
Itot =
Table III Platform with Thick Ring
m
Itot =
a
d=
b = d/2 =
Mdisk =
Ddisk =
Rdisk = Ddisk/2 =
Douter =
Router = Douter/2 =
Dinner =
Rinner = Dinner/2 =
Mthick ring =
Idisk =
Ithick ring =
Table I Empty Platform
m
a
F
" = a/b
J=Fb
F
" = a/b
J=Fb
F
" = a/b
J=Fb
Ip =
Table II Platform with Disk
m
a
Itot =
Table III Platform with Thick Ring
m
Itot =
a
d=
b = d/2 =
Mdisk =
Ddisk =
Rdisk = Ddisk/2 =
Douter =
Router = Douter/2 =
Dinner =
Rinner = Dinner/2 =
Mthick ring =
Idisk =
Ithick ring =
Table I Empty Platform
m
a
F
" = a/b
J=Fb
F
" = a/b
J=Fb
F
" = a/b
J=Fb
Ip =
Table II Platform with Disk
m
a
Itot =
Table III Platform with Thick Ring
m
Itot =
a
d=
b = d/2 =
Mdisk =
Ddisk =
Rdisk = Ddisk/2 =
Douter =
Router = Douter/2 =
Dinner =
Rinner = Dinner/2 =
Mthick ring =
Idisk =
Ithick ring =
Table I Empty Platform
m
a
F
" = a/b
J=Fb
F
" = a/b
J=Fb
F
" = a/b
J=Fb
Ip =
Table II Platform with Disk
m
a
Itot =
Table III Platform with Thick Ring
m
Itot =
a
d=
b = d/2 =
Mdisk =
Ddisk =
Rdisk = Ddisk/2 =
Douter =
Router = Douter/2 =
Dinner =
Rinner = Dinner/2 =
Mthick ring =
Idisk =
Ithick ring =
Table I Empty Platform
m
a
F
" = a/b
J=Fb
F
" = a/b
J=Fb
F
" = a/b
J=Fb
Ip =
Table II Platform with Disk
m
a
Itot =
Table III Platform with Thick Ring
m
Itot =
a
d=
b = d/2 =
Mdisk =
Ddisk =
Rdisk = Ddisk/2 =
Douter =
Router = Douter/2 =
Dinner =
Rinner = Dinner/2 =
Mthick ring =
Idisk =
Ithick ring =
Table I Empty Platform
m
a
F
" = a/b
J=Fb
F
" = a/b
J=Fb
F
" = a/b
J=Fb
Ip =
Table II Platform with Disk
m
a
Itot =
Table III Platform with Thick Ring
m
Itot =
a
d=
b = d/2 =
Mdisk =
Ddisk =
Rdisk = Ddisk/2 =
Douter =
Router = Douter/2 =
Dinner =
Rinner = Dinner/2 =
Mthick ring =
Idisk =
Ithick ring =
Table I Empty Platform
m
a
F
" = a/b
J=Fb
F
" = a/b
J=Fb
F
" = a/b
J=Fb
Ip =
Table II Platform with Disk
m
a
Itot =
Table III Platform with Thick Ring
m
Itot =
a
d=
b = d/2 =
Mdisk =
Ddisk =
Rdisk = Ddisk/2 =
Douter =
Router = Douter/2 =
Dinner =
Rinner = Dinner/2 =
Mthick ring =
Idisk =
Ithick ring =
Table I Empty Platform
m
a
F
" = a/b
J=Fb
F
" = a/b
J=Fb
F
" = a/b
J=Fb
Ip =
Table II Platform with Disk
m
a
Itot =
Table III Platform with Thick Ring
m
Itot =
a
d=
b = d/2 =
Mdisk =
Ddisk =
Rdisk = Ddisk/2 =
Douter =
Router = Douter/2 =
Dinner =
Rinner = Dinner/2 =
Mthick ring =
Idisk =
Ithick ring =
Table I Empty Platform
m
a
F
" = a/b
J=Fb
F
" = a/b
J=Fb
F
" = a/b
J=Fb
Ip =
Table II Platform with Disk
m
a
Itot =
Table III Platform with Thick Ring
m
Itot =
a
d=
b = d/2 =
Mdisk =
Ddisk =
Rdisk = Ddisk/2 =
Douter =
Router = Douter/2 =
Dinner =
Rinner = Dinner/2 =
Mthick ring =
Idisk =
Ithick ring =
Table I Empty Platform
m
a
F
" = a/b
J=Fb
F
" = a/b
J=Fb
F
" = a/b
J=Fb
Ip =
Table II Platform with Disk
m
a
Itot =
Table III Platform with Thick Ring
m
Itot =
a
d=
b = d/2 =
Mdisk =
Ddisk =
Rdisk = Ddisk/2 =
Douter =
Router = Douter/2 =
Dinner =
Rinner = Dinner/2 =
Mthick ring =
Idisk =
Ithick ring =
Table I Empty Platform
m
a
F
" = a/b
J=Fb
F
" = a/b
J=Fb
F
" = a/b
J=Fb
Ip =
Table II Platform with Disk
m
a
Itot =
Table III Platform with Thick Ring
m
Itot =
a
d=
b = d/2 =
Mdisk =
Ddisk =
Rdisk = Ddisk/2 =
Douter =
Router = Douter/2 =
Dinner =
Rinner = Dinner/2 =
Mthick ring =
Idisk =
Ithick ring =
Table I Empty Platform
m
a
F
" = a/b
J=Fb
F
" = a/b
J=Fb
F
" = a/b
J=Fb
Ip =
Table II Platform with Disk
m
a
Itot =
Table III Platform with Thick Ring
m
Itot =
a
d=
b = d/2 =
Mdisk =
Ddisk =
Rdisk = Ddisk/2 =
Douter =
Router = Douter/2 =
Dinner =
Rinner = Dinner/2 =
Mthick ring =
Idisk =
Ithick ring =
Table I Empty Platform
m
a
F
" = a/b
J=Fb
F
" = a/b
J=Fb
F
" = a/b
J=Fb
Ip =
Table II Platform with Disk
m
a
Itot =
Table III Platform with Thick Ring
m
Itot =
a
d=
b = d/2 =
Mdisk =
Ddisk =
Rdisk = Ddisk/2 =
Douter =
Router = Douter/2 =
Dinner =
Rinner = Dinner/2 =
Mthick ring =
Idisk =
Ithick ring =
Table I Empty Platform
m
a
F
" = a/b
J=Fb
F
" = a/b
J=Fb
F
" = a/b
J=Fb
Ip =
Table II Platform with Disk
m
a
Itot =
Table III Platform with Thick Ring
m
Itot =
a
d=
b = d/2 =
Mdisk =
Ddisk =
Rdisk = Ddisk/2 =
Douter =
Router = Douter/2 =
Dinner =
Rinner = Dinner/2 =
Mthick ring =
Idisk =
Ithick ring =
Table I Empty Platform
m
a
F
" = a/b
J=Fb
F
" = a/b
J=Fb
F
" = a/b
J=Fb
Ip =
Table II Platform with Disk
m
a
Itot =
Table III Platform with Thick Ring
m
Itot =
a
d=
b = d/2 =
Mdisk =
Ddisk =
Rdisk = Ddisk/2 =
Douter =
Router = Douter/2 =
Dinner =
Rinner = Dinner/2 =
Mthick ring =
Idisk =
Ithick ring =
Table I Empty Platform
m
a
F
" = a/b
J=Fb
F
" = a/b
J=Fb
F
" = a/b
J=Fb
Ip =
Table II Platform with Disk
m
a
Itot =
Table III Platform with Thick Ring
m
Itot =
a
d=
b = d/2 =
Mdisk =
Ddisk =
Rdisk = Ddisk/2 =
Douter =
Router = Douter/2 =
Dinner =
Rinner = Dinner/2 =
Mthick ring =
Idisk =
Ithick ring =
Table I Empty Platform
m
a
F
" = a/b
J=Fb
F
" = a/b
J=Fb
F
" = a/b
J=Fb
Ip =
Table II Platform with Disk
m
a
Itot =
Table III Platform with Thick Ring
m
Itot =
a
d=
b = d/2 =
Mdisk =
Ddisk =
Rdisk = Ddisk/2 =
Douter =
Router = Douter/2 =
Dinner =
Rinner = Dinner/2 =
Mthick ring =
Idisk =
Ithick ring =
Table I Empty Platform
m
a
F
" = a/b
J=Fb
F
" = a/b
J=Fb
F
" = a/b
J=Fb
Ip =
Table II Platform with Disk
m
a
Itot =
Table III Platform with Thick Ring
m
Itot =
a
d=
b = d/2 =
Mdisk =
Ddisk =
Rdisk = Ddisk/2 =
Douter =
Router = Douter/2 =
Dinner =
Rinner = Dinner/2 =
Mthick ring =
Idisk =
Ithick ring =
Table I Empty Platform
m
a
F
" = a/b
J=Fb
F
" = a/b
J=Fb
F
" = a/b
J=Fb
Ip =
Table II Platform with Disk
m
a
Itot =
Table III Platform with Thick Ring
m
Itot =
a
d=
b = d/2 =
Mdisk =
Ddisk =
Rdisk = Ddisk/2 =
Douter =
Router = Douter/2 =
Dinner =
Rinner = Dinner/2 =
Mthick ring =
Idisk =
Ithick ring =
Table I Empty Platform
m
a
F
" = a/b
J=Fb
F
" = a/b
J=Fb
F
" = a/b
J=Fb
Ip =
Table II Platform with Disk
m
a
Itot =
Table III Platform with Thick Ring
m
Itot =
a
d=
b = d/2 =
Mdisk =
Ddisk =
Rdisk = Ddisk/2 =
Douter =
Router = Douter/2 =
Dinner =
Rinner = Dinner/2 =
Mthick ring =
Idisk =
Ithick ring =
Table I Empty Platform
m
a
F
" = a/b
J=Fb
F
" = a/b
J=Fb
F
" = a/b
J=Fb
Ip =
Table II Platform with Disk
m
a
Itot =
Table III Platform with Thick Ring
m
Itot =
a
d=
b = d/2 =
Mdisk =
Ddisk =
Rdisk = Ddisk/2 =
Douter =
Router = Douter/2 =
Dinner =
Rinner = Dinner/2 =
Mthick ring =
Idisk =
Ithick ring =
Table I Empty Platform
m
a
F
" = a/b
J=Fb
F
" = a/b
J=Fb
F
" = a/b
J=Fb
Ip =
Table II Platform with Disk
m
a
Itot =
Table III Platform with Thick Ring
m
Itot =
a
d=
b = d/2 =
Mdisk =
Ddisk =
Rdisk = Ddisk/2 =
Douter =
Router = Douter/2 =
Dinner =
Rinner = Dinner/2 =
Mthick ring =
Idisk =
Ithick ring =
Table I Empty Platform
m
a
F
" = a/b
J=Fb
F
" = a/b
J=Fb
F
" = a/b
J=Fb
Ip =
Table II Platform with Disk
m
a
Itot =
Table III Platform with Thick Ring
m
Itot =
a
```