Answer
(a) $\omega = 199~rad/s$
(b) t = 3.07 ms
Work Step by Step
(a) $\omega = (1900~rpm)(\frac{1~min}{60~s})(\frac{2~\pi~rad}{1~rev})$
$\omega = 199~rad/s$
(b) $\theta = (35^{\circ})(\frac{\pi~rad}{180^{\circ}})$
$\theta = 0.6109~rad$
$t = \frac{0.6109~rad}{199~rad/s}$
$t = 0.00307~s = 3.07~ms$
