Answer
$3.49\ \frac{rad}{s}$
Work Step by Step
Given:
angular speed $\omega = \frac{100}{3}\frac{rev}{min}$
We know that:
1 revolution = $2\pi$ radians
1 minute = 60 sec
Now, we convert given angular speed into radian per sec:
$\omega = \frac{100\times 2\pi\ rad}{3\times 60\ s} = 3.49\ rad/s$