## Converting Between Circular & Rotational Motion

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.

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###### Motion vs description of motion

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###### Circular vs rotational motion

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###### Circular motion descriptions

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###### Rotational motion descriptions

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###### Converting between tangential and angular descriptions

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###### Summary

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###### Problem 1: Displacement

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###### Problem 2: Velocity

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###### Problem 3: Acceleration

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###### Problem 4: Constant acceleration equation 1

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###### Problem 5: Constant acceleration equation 2

**Answers**

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.

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