Sections:

Angular and Linear Velocities, Page 4

Angular Velocity: ExampleLamp

Example: 

Determine the angular velocity of a point around a circular object, if 2.9 revolutions are completed in 3 seconds. Round your answer to the nearest tenth. 

First, find the angular displacement: 

2.9 times 2pi = 5.8pi radians, or 18.2 radians. 

Now you can find the angular velocity: 

ω = θ/t; ω = 18.2/3 = 6.1 radians/second

One thing that you should notice is that the angular velocity of a point on a rotating object does NOT depend on the distance from the center.