Answer
a) $\omega_{max}=2100\frac{rad}{s}$
b) $v=21\frac{m}{s}$
Work Step by Step
(a) We know that
$\omega_{max}=2\omega_{avg}$
$\omega_{max}=2\frac{\Delta \theta}{\Delta t}$
We plug in the known values to obtain:
$\omega_{max}=2(\frac{\frac{100\pi}{3rad}}{1.0})=2100\frac{rad}{s}$
(b) We know that
$v=r\omega$
We plug in the known values to obtain:
$v=(0.010)(2100\frac{rad}{s})$
$v=21\frac{m}{s}$
