# Angular Velocity Calculator

**Velocity** itself **means the speed of an object**. **Angular velocity is the speed of a rotating object**. The specific object rotates in a circle around the specified point or you can say it center.

The unit of angular velocity is radians per second rad/sec. To represent angular velocity, the symbol used is lowercase omega (ω)

**Table of Contents**

## Formula of Angular Velocity Calculator

To calculate the angular velocity of a rotating object, we use the following formula:

ω = θ / t

**Where,**

θ = angle between the rotating object and the center of the circle

t = time of rotation

ω = s / rt

**Where,**

s = arc length, calculated by arc length calculator.

r = radius of the circle

t = time taken for the rotation

**Note:**

Find the speed of a moving object with our Average Velocity Calculator.

### Example

We use angular velocity at certain points in our lives. We use it to estimate the speed of the Ferris wheel moving in a circular path. Or we can use it while the CD room rotates or the earth’s speed as it rotates around the sun.

We have a car that has been rotating for the last 4 minutes and completed the circular track of 2π. What will be its angular velocity?

We will use the first solution to solve this problem

ω = θ/t

Putting values in the above formula:

ω = 2π / 4

ω = π / 2

The angular velocity will be **pi / 2** radians per minute

### How to use Angular Velocity Calculator?

The steps to use an angular velocity calculator are as follows:

**Step 1: **Enter the value of the angle change in the required input.

**Step 2: **Enter the value of time in the required input.

**Step 3: **Enter the value of velocity in the required input.

**Step 4: **Enter the value of the radius in the required input.

**Step 5: **The calculator will automatically display an answer on the screen.

### Calculator use

The angular velocity calculator will answer the speed of an object in a single tap. By putting the values, you will get the answer. Choose the formula from the above mentioned, which suits you best, and click on the button. The answer will pop up on your screen.