Question no 1

a)A ball was thrown with an initial angular speed of 75.0 rad/s, and caught at 0.675 seconds later. When the ball is caught, its angular speed has decreased to 34.2 rad/s due to air resistance.

(i) What is the ball's angular acceleration, assuming it to be constant?

(ii) How many revolutions does the ball make before being caught?

b)A pulley rotating in the counter clockwise direction is attached to a mass suspended from a string. The mass causes the pulley's angular velocity to decrease with a constant angular acceleration = -5.10 rad/s2.

If the pulley's initial angular velocity is 8.40 rad/s, how long does it take for the pulley to come to rest and through what angle does the pulley turn during this time?