A ceiling fan initially rotates at 120revmin−1 in the counter-clockwise direction. The fan is switched off and slows down with a constant angular deceleration until it comes to rest 15s later.
Respond to each part, showing all steps clearly.
(a) Determine the magnitude of the angular deceleration in rads−2.
(b) Calculate the total number of revolutions the fan makes while coming to rest.
(c) Find the time required for the fan to slow from its initial speed to 60revmin−1. State whether the fan is still rotating in the same direction at that instant and justify your conclusion.