A ceiling fan starts from rest and accelerates uniformly at for

PHYSICS · Subjective · AP · Physics 1: Algebra-based · Torque and Rotational Dynamics · Torque and Rotational Dynamics

Problem

A ceiling fan starts from rest and accelerates uniformly at

3\,\text{rad}\,\text{s}^{-2}

for

4\,\text{s}

. It then runs at the constant angular velocity reached for

3\,\text{s}

, after which it is switched off and comes to rest with a constant angular deceleration in the next

8\,\text{s}

. (i) Calculate the magnitude of the angular deceleration during the last

8\,\text{s}

. (ii) Find the total number of revolutions made by the fan in the entire

15\,\text{s}

interval.