Download Content Area: Newtonian Mechanics Unit: 5 Topic (s): Circular

Content Area: Newtonian Mechanics
Unit: 5
Topic (s): Circular Motion, Universal Gravitation, and Simple harmonic Motion
Pre
Assess*
I can…
1. Compare and contrast circular acceleration with linear acceleration
2. Adapt the concept of a net (or unbalanced) linear force (as defined by
Newton’s Second Law of Motion) for use with net circular (centripetal) force
3. Identify the contributing factors for Universal Gravitation
4. Combine concepts of weight and universal gravitation to determine the local
gravitational acceleration (aka: gravitational field)
5. Distinguish between periodic motion and simple harmonic motion
6. Analyze the acceleration and velocity of an object undergoing simple harmonic
motion
7. Solve problems involving simple harmonic motion
8. Solve problems involving circular motion (including orbits) for specific forces
and/or physical constants
*
Assign a value of 1 (no clue), 2 (some idea), or 3 (confident)
Vocabulary:
Centripetal Acceleration
Centripetal Force
Circular Velocity
Frequency
Orbital Velocity
Period
Radius of Curvature
Restoring Force
Sinusoidal
Simple Harmonic Motion
Tangential Velocity
Post
Assess*
Equations new to this unit:
T=1/f (modified from AP Sheet)
Quantity, Symbol, [units]
Centripetal Acceleration
Tangential velocity
Radius of circle (curve)
Period of SHO Spring/mass
Mass on spring
Spring constant
Period of SHO Pendulum
Length of pendulum
Universal Gravitation
Distance between masses
Position
Amplitude
Frequency
Period
Time
ac
v
r
TS
m
k
TP
l
Fg
r
x
A
f
T
t
[m/s2]
[m/s]
[m]
[s]
[kg]
[N/m]
[s]
[m]
[N]
[m]
[m]
[m]
[Hz]
[s]
[s]
Physics Classroom Resources
http://www.physicsclassroom.com/class/circles
I can…
1. Compare and contrast circular acceleration with linear acceleration
2. Adapt the concept of a net (or unbalanced) linear force (as defined by
Newton’s Second Law of Motion) for use with net circular
(centripetal) force
3. Identify the contributing factors for Universal Gravitation
4. Combine concepts of weight and universal gravitation to determine
the local gravitational acceleration (aka: gravitational field)
5. Distinguish between periodic motion and simple harmonic motion
6. Analyze the acceleration and velocity of an object undergoing simple
harmonic motion
7. Solve problems involving simple harmonic motion
8. Solve problems involving circular motion (including orbits) for
specific forces and/or physical constants
http://www.physicsclassroom.com/calcpad/circgrav/problems
Physics Classroom Lesson
Lesson 1
Lesson 1 and Lesson 2
Lesson 3
Lesson 3
N/A
N/A
N/A
Lesson 2, Lesson 4b and 4c
Additional Internet Resources
Centripetal Force: http://www.gpb.org/chemistry-physics/physics/504
Gravity: http://www.gpb.org/chemistry-physics/physics/505
Calendar
Unit Date
Activity/Assessment for Date
Unit: NM Unit 5
HW Problems
Day 1 HW:
Read (5.1 and 5.2)
1) A 0.045kg coin is placed 0.27m from the center of a record. The record spins at 33 revolutions per
minute. What coefficient of friction is needed to keep the going from slipping off of the record?
2) The Rotor (or Gravitron) spins riders and then drops the floor out from underneath them. Fortunately
nobody slides down the wall to their deaths. If the Rotor has a radius of 15m and the coefficient of
friction between a 100kg rider and the wall is 0.45, how fast must the ride spin to make sure the rider
remains safe?
Day 2 HW:
Read (5.5-5.7)
1) A satellite orbits the earth 2.25x105 m above the surface of the earth. What are the orbital velocity and
the orbital period of the satellite?
More Day 2 on next page
2) The moon has an acceleration due to gravity of 1.67 m/s 2 and a mass of 7.35x1022kg. What is the radius
of the moon?
3) Bill (m=55kg) and Ted (m=60kg) are standing 25m apart, what is the force of gravitational attraction
between them?
Day 3 HW:
1) A 60kg person riding a roller coaster is at the bottom of a dip in the coaster. At this dip the person feels
as though they weight 850N. If the radius of the dip is 6m, how fast is the person moving?
2) The acceleration due to gravity on a planet is 12.5 m/s 2. If the planet has a radius equal to the Earth’s
radius, what must the mass of the unknown planet be?
Day 5 HW:
Read (11.1, 11.3, and 11.4)
1) The Amazing Rando (m=85kg) is swinging through the air with the greatest of ease on a flying trapeze
that has a string length of 3.1m. (a) What is the period of Rando's oscillation? (b) If the Amazing Rando
was to sit on a seat that was attached to a spring, what would the spring constant need to be so that he
experienced the same period of oscillation you calculated in part a?
Day 6 HW:
1) The figure shows a graph of the position x as a function of time t for a system undergoing simple
harmonic motion. Which one of the following graphs represents the velocity of this system as a function
of time?
a)
b)
c)
d)
graph a
graph b
graph c
graph d