Answer
Angular Speed$= 20.9$ $rad/s$
Work Step by Step
$1$ $rev=2\pi$ $rad$
$1$ $min=60$ $s$
Therefore,
$1$ $\frac{rev}{min}$ = $2\pi$ $rad/60s$
So,
$200$ $rev/min=200\times2\pi$ $rad/60s = 20.94$ $rad/s\approx20.9$ $rad/s$
Angular speed in radians per second is $20.9$ $rad/s$.