A small rubber wheel is used to drive a large pottery wheel, and they are mounted so that their circular edges touch. The small wheel has a radius of 2.0cm and accelerates at a rate of 7.2rad/s^2 and it remains in contact with the pottery wheel (radius 25.0cm) without slipping.
a) What is the angular acceleration of the pottery wheel?
b) How long does it take for the pottery wheel to reach an angular velocity of 65 rpm?