A turn-table is spinning down due to friction in the bearings. It takes 60 seconds for the turn-table to stop from an initial speed of 2. 5 s?1 and that the magnitude of the initial angular acceleration was 0.10s?2. Assuming a quadratic fit for the angular velocity, find the expression for this angular velocity in this time interval. From the angular velocity, find the angular acceleration and the number of rotations of the turn-table in this time interval.