A2. A vinyl album has a radius of 0.15 m and a mass of 0.24 kg with a moment of inertia of I=1/2MR2

1. The turntable starts from rest and accelerates to a final angular velocity of 33 1/3 rpm in 1.2 seconds. Change units to rad/s, and determine the angular acceleration of the record.
2. Determine the torque on the record causing this acceleration.
3. Calculate the rotational kinetic energy and the angular momentum when it is at 33 1/3 rpm.
4. As it rotates at 33 1/3 rpm, a point mass of 0.05 kg falls (and sticks) onto the record at a distance of 0.06 m from the axis of rotation, determine the new moment of inertia.
5. With angular momentum conserved, determine the new angular velocity of the system.