4.I.3C
Part IA, 2006
A car is at rest on a horizontal surface. The engine is switched on and suddenly sets the wheels spinning at a constant angular velocity . The wheels have radius and the coefficient of friction between the ground and the surface of the wheels is . Calculate the time when the wheels start rolling without slipping. If the car is started on an upward slope in a similar manner, explain whether is increased or decreased relative to the case where the car starts on a horizontal surface.