A flywheel rotates at a rate of 20 rpm. A motor provides a constant angular acceleration so that 30 secondslater it turns at a rate of 70 rpm. There's a tiny splotch of paint on the flywheel, located 0.10 m from its center. During the acceleration period,
(a) what is the angular acceleration of the splotch of paint, and
(b) how far (i.e., through what distance) does the splotch of paint travel?