A mass is whirled around with a constant angular velocity $=20$ radians$/$second in a clockwise $($CW$)$ direction $($viewed from above$)$ on the end of a piece of string of length $L=3$ meters.

a$)$ What the speed of the mass in $\frac{m}{s}?$

b$)$ How long does it take to make one complete revolution? Use $=3\mathrm{.}14.$

c$)$ What is the total change in angular velocity $={}_1-{}_i($radians$/$second$)$ if it is stopped and then whirled at the same speed in a counter$-$clockwise $($CCW$)$ direction? $($The sign convention for angular velocity is the same as that for torque.$)$