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

PHYSICS · Single correct · CBSE · Physics · System of Particles and Rotational Motion · System of Particles and Rotational Motion

Problem

A merry-go-round is rotating counterclockwise with an initial angular velocity of +3.0 rad/s+3.0\,\text{rad/s}. A rider applies a brake that produces a constant angular acceleration of −0.60 rad/s2-0.60\,\text{rad/s}^2. The brake continues to exert the same torque for a total of 12 s12\,\text{s}. What is the net angular displacement of the merry-go-round during this 12 s12\,\text{s} interval? (a) +7.5 rad+7.5\,\text{rad} (b) +36 rad+36\,\text{rad} (c) −7.2 rad-7.2\,\text{rad} (d) −21.9 rad-21.9\,\text{rad}

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