Awheel which is initially at rest starts to turn with a constant angular acceleration. after 4 seconds it has made 4 complete revolutions. 1) how many revolutions has it made after 8 seconds?

In order to make 4 complete revolutions in 4 seconds, the wheel must have a constant angular acceleration of 144° (or 2.5 radians) per square second, hence after 8 seconds the wheel will have made 14,4 revolutions, or 5184° in total.