A string is wound tightly around a fixed pulley whose radius is 5.0 cm. As the string is pulled, the pulley rotates without slipping. What is the angular speed of the pulley when the string has a linear speed of 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 (ω) is given by the formula ω = v/r, where v is the linear speed and r is the radius. Here, v = 5.0 m/s and r = 0.05 m (5.0 cm converted to meters). So, ω = 5.0 / 0.05 = 100 rad/s.

A String Is Wound Tightly Around a Fixed Pulley Whose