Physics

Problem

A merry-go-round is rotating counterclockwise with an initial angular velocity of

+3.0\,\text{rad/s}

. A rider applies a brake that produces a constant angular acceleration of

-0.60\,\text{rad/s}^2

. The brake continues to exert the same torque for a total of

12\,\text{s}

. What is the net angular displacement of the merry-go-round during this

12\,\text{s}

interval? a)

+7.5\,\text{rad}

+36\,\text{rad}

-7.2\,\text{rad}

-21.9\,\text{rad}