Question

A wheel rotates with an initial angle of 0.45 radians and a final angle of0.75 radians in a time of 2.0 s. What is the wheel's angular velocity?

Answer 1

Angular velocity is defined as the change in angular displacement divided by the change in time. In this case, the initial angle is 0.45 radians, the final angle is 0.75 radians, and the time taken is 2.0 seconds.

Angular displacement = final angle - initial angle = 0.75 radians - 0.45 radians = 0.3 radians

Angular velocity = angular displacement / time = 0.3 radians / 2.0 seconds = 0.15 radians/second

Therefore, the wheel's angular velocity is 0.15 radians/second.