Wrapping paper is being unwrapped 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 ($\omega$) can be calculated using the formula $\omega = v/r$, where $v$ is the linear velocity (10 cm/s) and $r$ is the radius (5.0 cm). Thus, $\omega = 10 \, \text{cm/s} / 5.0 \, \text{cm} = 2.0 \, \text{rad/s}$.

Wrapping Paper Is Being Unwrapped from a 5