Download C-Circular-Kinematics-Dynamics-Unit

Title of Unit
Curriculum Area
Developed By
Circular Kinematics & Dynamics
Conceptual Physics
Shelly Gould Burgess
Grade Level
Time Frame
11 & 12
2 -3 weeks
Identify Desired Results (Stage 1)
Content Standards
By the end of the unit, students will be able to…
1. distinguish between circular (“translational;” “tangential”) and rotational motion.
2. perform measurements and calculations involving period and frequency of rotating objects and objects moving in circular
motion.
3. analyze the angular displacement and angular velocity of a rotating object.
4. analyze and calculate torque.
5. analyze rotational equilibrium.
6. analyze moment of inertia.
7. analyze angular momentum and the relationship between moment of inertia and rotational speed.
8. asses qualitatively and mathematically the conditions under which rotational equilibrium occur.
9. analyze the tangential velocity of a body.
10. analyze the centripetal acceleration of a body when tangential speed is constant.
11. use Newton’s second law to analyze and calculate centripetal force of an object moving with uniform circular motion.
12. determine that radius of revolution affects tangential speed, thereby affecting the magnitude of centripetal acceleration,
which, in turn, affects the magnitude of centripetal force.
13. determine the gravitational force exerted between two masses.
Understandings
Essential Questions
Overarching Understanding
Students will understand the nature circular motion.


Related Misconceptions
Circular and rotational motions are the same thing.
There is an outward “centrifugal” force acting on
objects that travel in a circular path.
Overarching

What is circular motion? What is
rotational motion?

How do we assess and measure
rotational motion?
Topical






What creates changes in
rotational motion?









How do we assess and measure
circular motion?






What is Newton’s Universal Law
of Gravitation?

How do circular motion and rotational motion
differ?
What is a rotational axis?
How do we measure and assess angular
speed and angular acceleration?
What causes angular acceleration?
How do we measure and assess period and
frequency?
How does torque create change in rotational
state?
How does torque create change in rotational
state?
What factors affect torque?
What are the requirements for rotational
equilibrium?
What is moment of inertia?
How does mass distribution affect moment of
inertia?
What is angular momentum?
When net torques are balanced, what is the
relationship between moment of inertia and
angular momentum?
How do we measure and assess tangential
velocity?
What is the direction of tangential velocity?
How do we measure and assess centripetal
acceleration?
How do we measure and assess centripetal
force?
How does inertia relate to objects traveling in
circular motion?
How do we assess and calculate gravitational
force between two masses?
Knowledge
Skills
Students will know…
Students will be able to…
 what is circular motion?
 distinguish between circular and rotational motions.
 what is rotational motion?
 calculate and measure period and frequency.
 what are period and frequency?
 calculate torque.
 what is torque?
 assess and calculate circular motion in terms of tangential velocity,
 what is a tangent?
centripetal acceleration, and centripetal force.
 assess how radius affects aspects of circular motion.
 what is tangential velocity?
 assess and calculate the gravitational attraction between two objects.
 what is centripetal acceleration?
 what is centripetal force?
 what is Newton’s Universal Law of Gravitation?
From: Wiggins, Grant and J. Mc Tighe. (1998). Understanding by Design, Association for Supervision and Curriculum Development ISBN # 0-87120-313-8
(ppk)
Lesson 1
I. Objectives: Students will be able to…

distinguish between circular (“translational;” “tangential”) and rotational motion.

perform measurements and calculations involving period and frequency.
II. Materials: Classroom set of computers with Activstudio
III. Procedure:
A. Notes and activities pages 1-5
B. Practice: Frequency and period practice sheet
IV. Evaluation: Evidence of flipchart work, homework 1, portfolio
Lesson 2
I. Objectives: Students will be able to…

conceptually analyze rotational displacement, speed, and acceleration

relate torque, force, angle of force, and lever arm to rotational success.

calculate torque.

assess the rotational equilibrium of a system.
II. Materials: Classroom set of computers with Activstudio; per lab
III. Procedure:
A. Notes and activities pages 6-11
B. Rotational equilibrium activity: balancing mobiles
IV. Evaluation: Homework 2, evidence of flipchart work, authentic demonstration, quiz, portfolio
Lesson 3
I. Objectives: Students will be able to…

conceptually analyze moment of inertia

conceptually analyze angular momentum
II. Materials: Classroom set of computers with Activstudio; per lab
III. Procedure:
C. Notes and activities pages 12-15
D. Rotational equilibrium activity: balancing mobiles
IV. Evaluation: Homework 2, evidence of flipchart work, authentic demonstration, quiz, portfolio
Lesson 4
I. Objectives: Students will be able to…

analyze the tangential velocity of a body.

analyze the centripetal acceleration of a body when tangential speed is constant.

use Newton’s second law to calculate centripetal force of an object moving with uniform circular motion.

determine that radius of revolution affects tangential speed, thereby affecting the magnitude of centripetal acceleration, which, in turn, affects the magnitude of centripetal force.
II. Materials: Classroom set of computers with Activstudio; per lab
III. Procedure:
A. Discovery Lab: “Circular Motion is Keen”
B. Notes and activities pages 16-25
IV. Evaluation: Homework 4, evidence of flipchart work, authentic demonstration, quiz, portfolio
Lesson 5
I. Objectives: Students will be able to…
determine the gravitational force exerted between two masses.
II. Materials: Classroom set of computers with Activstudio
III. Procedure: Notes and activities: pages 26-end
IV. Evaluation: Homework 5 (gravity,) Homework 6 (center of mass,) evidence of flipchart work, lab, quiz, portfolio