# Angular Velocity with Examples

**Angular Velocity: **

Look at the given picture. If the platform does one rotation then points A and B also does one rotation. We define angular velocity as “change of the angular displacement in a unit of time”. the unit of angular velocity is revolution per unit time or radians per second. We show angular velocity with the Greek letter “**ω**” omega.

**Average Velocity= Circumference of the Circle/Time**

**Average Speed/Velocity=2****π****r/T **where, T is the period of the system and r is the radius of the revolution.

**ω=2π/T=2πf **where, f is frequency and T is the period

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Unlike tangential velocity, angular velocity of all points on the platform doing circular motion are equal to each other since the number of rotations per unit time are equal.

Example: If the stone does 6 rotations in 1 second find the angular velocity of it.

**If the stone does four rotations in one second then its frequency becomes 6.**

**f=6s ^{-1}**

**T=1/f=1/6s**

**ω=2π/T=2.3/1/6s=36radian/s**

**Rotational Motion Exams and Solutions**

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