Question

A person walks into a room and switches on the ceiling fan. The fan accelerates with constant angular acceleration for 15 s until it reaches its operating angular speed of 1.0 rotations/s after that its speed remains constant as long as the switch is "on". The person stays in the room for a short time; then , 5.5 minutes after turning the fan on, she switches it off again and leaves the room. The fan now decelerates with constant angular acceleration, taking 2.4 minutes to come to rest. What is the total number of revolutions made by the fan from the time it was turned on until the time it stopped?