A washing machine turns on and starts from rest. The spin cycle starts and the machine's angular speed increases at a constant rate for 8 s at which point it is turning at 5 rev/s. The lid is then opened. This shuts off the power to the machine and it now slows down at a constant rate so that it is completely stopped after an additional 12 s. (a) Through how many revolutions does the machine turn while it is in motion? (b) Through what angle (expressed in radians) has it rotated while it is in motion