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Converting Between Circular & Rotational Motion

Introduction

We've learned about circular motion and how to use the tangential description of motion. And we've learned about rotational motion and how to use the angular description of motion.

But there are many scenarios where we might need to combine them, or convert from one description to the other. Imagine a fly lands on the edge of a spinning record. Is the fly in circular motion or rotational motion? What concepts and equations can we use to describe its motion?

In this lesson we'll talk about the difference between an object's physical motion and the description of motion. Then we'll dive into the ways we can describe objects in circular motion and rotational motion. Finally, we'll learn how to convert between these descriptions using the relationship between arc lengths and angles.

We'll end up with a list of equations that we can use to convert between an arc length and an angle, tangential velocity and angular velocity, and tangential acceleration and angular acceleration.

Lessons
Study Guide

Converting Between Circular & Rotational Motion
Example Problems
Practice Problems

Converting Between Circular & Rotational Motion
Position and Displacement
Circular motion and rotational motion practice problem 1
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Circular motion and rotational motion practice problem answer 1Circular motion and rotational motion practice problem 2
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Circular motion and rotational motion practice problem answer 2Circular motion and rotational motion practice problem 3
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Circular motion and rotational motion practice problem answer 3
AP®-Style Questions

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