For a rotating disk

PHYSICS · Subjective · AP · Physics 1: Algebra-based · Energy and Momentum of Rotating Systems · Energy and Momentum of Rotating Systems

Problem

For a rotating disk, the torque as a function of angular position is given by

\tau(\theta) = 4.5\,\sin \theta\,\text{N}\cdot\text{m}

for

0 \leq \theta \leq \frac{\pi}{2}\,\text{rad}

. Calculate the rotational work done on the disk as it turns from

\theta = 0

\theta = \frac{\pi}{2}\,\text{rad}