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 2.0 cm and accelerates at the rate of 7.5 rad/s2, and it is in contact with the pottery wheel (radius 25.0 cm) without slipping.
(a) Calculate the angular acceleration of the pottery wheel.
(b) Calculate the time it takes the pottery wheel to reach its required speed of 75 rpm.