# Circular Motion Study Guide

Introduction

We’ve all fantasized about riding a horse while wearing a nice cowboy hat and performing the lasso trick. The lasso trick is a superb illustration of a physical motion in and of itself. A lasso trick is, in fact, a famous illustration of circulatory motion. The continual circular motion of the hand keeps the rope moving and keeps it from dropping to the floor. Let’s take a closer look at circular motion.

## What is Circular Motion?

- Circular motion’s definition says that this is the motion of an object along a circular route while spinning.
- Also, unlike linear motion, the direction of motion
**changes continuously**in the case of the circular motion of a body. - As a result, angular variables can be used to characterize circular motion.
- The angular variable in a circular motion is as:

**Angular Variables**

### Angular Displacement

- It’s the angle at which a rotating object turns in one unit of time.
- Theta (𝜃) is the symbol for it, and it is expressed in radians.

### Angular Velocity

- It’s the rate at which a particle’s angular displacement changes in a circular motion.
- The unit of angular velocity is rad/s.
- A particle in circular motion has linear velocity and matching linear speed in addition to angular velocity and angular speed.

### Angular Acceleration

- It is defined as the rate at which the rotating particle’s angular velocity changes.
- It is expressed in rad/s2.

The common circular motion formulas are

**ω = lim∆t→0 (∆θ/∆t) = dθ/dt** ,

**α = dω/dt = d2θ/dt2**,

**ar = V2/R**

Where **ω** is the angular velocity,

**t** is the time, θ is angular displacement,

**α** is the angular acceleration,

**ar** is the angular acceleration,

**V** is the velocity and

**R** is the radius of the motion.

## Types of Circular Motion

Circular motion can be of two types: **uniform or non-uniform circular motion**.

- The angular rate of rotation and speed are constant in uniform circular motion, whereas the rate of rotation changes in non-uniform motion.
- The velocity vector changes direction at every point on the curve during circular motion. As a result, the radial component of acceleration is never zero.
- In the event of non-uniform circular motion, the tangential component might be positive or negative, and in the case of a uniform circular motion, it can be zero.

Movement of a giant wheel, satellites orbiting around earth and the motion of a merry-go-round are some of the circular motion examples.

# Summary

- The motion of an object along a circular route while spinning is called circular Motion.
- Angular variables like angular displacement, angular velocity and angular acceleration can be used to characterize circular motion.
- Circular motion can be of two types: uniform or non-uniform circular motion.

## FAQs

**Q. What is circular motion?**

Circular motion is the motion of an object along a circular route while spinning.

**Q. Is uniform circular motion accelerated motion?**

Yes, uniform circular motion is an accelerated motion.

**Q. Give two examples of circular motion.**

Twirling a lasso and satellites orbiting around earth are two examples of circular motion.

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