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Angular Velocity Calculator
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Angular velocity calculator helps to calculate the velocity of a rotating body. By definition, it is equal to the rate of change of angular displacement. It is denoted by ω. The standard unit of angular velocity is radiance per second. This is a vector quantity which has both direction and magnitude. The equation for angular velocity is given as,

$\omega$ =$\frac{\theta }{t}$

Where $\theta$ is the angular displacement
t is the time

## Steps for Angular Velocity Calculator

Step 1 :

Note down the given parameters from the question.

Step 2 :

Substitute the given quantities in the below equation,

$\omega$ =$\frac{\theta }{t}$

Where $\theta$ is the angular displacement
t is the time

## Problems on Angular Velocity Calculator

1. ### Calculate the angular velocity of an object whose angular displacement at 5s is 2$\pi$rad?

Step 1 :

From the question, it is clear that

$\theta$=2$\pi$rad

t=5s

$\omega$=?

Step 2 :

Substitute the values in this equation,

$\omega$ =$\frac{\theta }{t}$

$\omega$ =$\frac{2 \pi }{5}$

$\omega$=1.256 rad/s

Angular velocity, $\omega$=1.256 rad/s

2. ### Find out the angular velocity of a rotating body whose andular displacement and time are $\pi$rad and 15s respectively?

Step 1 :

From the question,

$\theta$=$\pi$rad

t=15s

$\omega$=?

Step 2 :

Substitute the values in this equation,

$\omega$ =$\frac{\theta }{t}$

$\omega$ =$\frac{\pi}{15}$

$\omega$=0.2093 rad/s

Angular velocity, $\omega$=0.2093 rad/s