Question

Initially, a ball has an angular velocity of 5.0 rad/s clockwise. Some time later, after rotating through a total angle of 5.5 radians, the ball has an angular velocity of 1.5 rad/s clockwise. What is the angular acceleration?

Answer 1

Solution:

Initial angular velocity,

Final angular velocity,

Total angle travelled,

We know from kinematic equations,

Here, is angluar acceleration.

Rearranging the equation for acceleration and substituting all the known values.

Here, negative sign indicating that, the ball is decelerating.