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 7.4 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.
___rad/s2
(b) Calculate the time it takes the pottery wheel to reach its required speed of 85 rpm.
____s