Wrapping paper is being from a 5.0-cm radius tube, free to rotate on its axis. If it is pulled at the constant rate of 10 cm/s and does not slip on the tube, the angular velocity of the tube is:
A) 2.0 rad/s
B) 5.0 rad/s
C) 10 rad/s
D) 25 rad/s
E) 50 rad/s

Question

Quizplus · Accepted Answer

The angular velocity is given by the ratio of the linear velocity to the radius. In this case, the linear velocity is 10 cm/s and the radius is 5.0 cm, so the angular velocity is 10 cm/s / 5.0 cm = 2.0 rad/s.

Wrapping Paper Is Being from a 5