a)200 revs/min means it goes around in a circle, 200 times every minute. As 1 $ cirlce $ = 2\pi $ radians$ and 1 minutes = 60 seconds, we get w=\frac{2\pi \times 200}{60}rads^{-1} \\ = \frac{20\pi}{3}rads^{-1}
b)Now we have the angular velocity, w, we can find the velocity and the...