Answer
$0.5235\ m/s$
Work Step by Step
It is given that:
angular speed $\omega = \frac{100}{3}\frac{rev}{min}$
We know that:
1 revolution = $2\pi$ radians
1 minute = 60 sec
Now, we convert the given angular speed into radian per sec:
$\omega = \frac{100\times 2\pi\ rad}{3\times 60\ s} = 3.49\ rad/s$
We know that the distance from the turnable axis i,e radius $r = 15\ cm= 0.15\ m$
This can be used to find the linear speed:
linear speed $v=r\omega$
$v = (0.15\ m)(3.49\ rad/s) =0.5235\ m/s$
