Suppose You Have a Spool of Thread That Can Rotate $|\vec{\omega}|$

Multiple Choice

Suppose you have a spool of thread that can rotate around a fixed axis as you pull thread off it. If you pull the thread with your hand so that the thread always lies along a certain fixed line, how will your hand's speed as it moves compare to $|\vec{\omega}|$ , where $R$ is the spool's radius and $R|\vec{\omega}|$ is angular speed?

A) The hand's speed will be greater than $R|\vec{\omega}|$ .
B) The hand's speed will be less than $R|\vec{\omega}|$ .
C) The hand's speed will be equal to $R|\vec{\omega}|$ .
D) The hand's speed has nothing to do with $R|\vec{\omega}|$ .