Answer
a) 1.04 radians per second
b) 1.089 meters per second
Work Step by Step
a) We first find the frequency:
$ f = \frac{20}{60}=.33\ Hz$
We use this to find the average angular velocity:
$\bar{\omega}=\frac{\omega_f+\omega_0}{2} = \frac{2\pi f+\omega_0}{2} = \frac{2\pi \times .33+0}{2}=\fbox{1.04 radians per second}$
b) We now find the velocity:
$v=\omega r = (1.04)(1.05)=\fbox{1.089 meters per second}$
