You get to learn about circular motion through the real-life example of a Ferris wheel in motion. Then study harmonic motion by experimenting with the pendulum of a clock.
After completing this tutorial, you will be able to complete the following:
What are the equations for linear velocity and angular velocity?
~ The equation for linear velocity is:
The equation for angular velocity is:
How are linear and the angular velocity related?
~ Linear velocity equals angular velocity times the radius of the circular motion. Or
In uniform circular motion, the magnitude of the linear velocity is constant. How is it that there is acceleration?
~ The direction of the linear velocity is always changing. Therefore, there will be a rate of change of the velocity vector. Because of this change, acceleration occurs.
What is centripetal acceleration and how is it related to centripetal force?
~ Centripetal acceleration is acceleration towards the center of a circular path and is equal to . This acceleration is produced by the centripetal force according to Newton's second law. Since force = m•a, centripetal force is equal to F = m • v^2/r
|Approximate Time||2 Minutes|
|Pre-requisite Concepts||Students should have an intellectual grasp on the following terms: centripetal acceleration, centripetal force, and circular motion.|
|Type of Tutorial||Animation|
|Key Vocabulary||centripetal acceleration, centripetal force, circular motion|