A string is wound tightly around a fixed pulley having a radius of 5.0 cm.As the string is pulled,the pulley rotates without any slipping of the string.What is the angular speed of the pulley when the string is moving at 5.0 m/s?
A)100 rad/s
B)50 rad/s
C)25 rad/s
D)20 rad/s
E)10 rad/s

Question

Quizplus · Accepted Answer

The angular speed $\omega$ can be found using the relationship $\omega = v / r$, where $v$ is the linear speed of the string (5.0 m/s) and $r$ is the radius of the pulley (5.0 cm = 0.05 m). Thus, $\omega = 5.0 \, \text{m/s} / 0.05 \, \text{m} = 100 \, \text{rad/s}$.

A String Is Wound Tightly Around a Fixed Pulley Having