A compact disc (CD) in a player starts from rest and spins up with a constant angular acceleration for 4.0s. During this interval the angular acceleration has a magnitude of 25rads−2.
Answer all parts, showing your reasoning and including appropriate units.
(a) Determine the angular velocity of the CD at t=4.0s.
(b) Calculate the angular displacement of the CD between t=0 and t=4.0s in radians.
(c) Convert your result from part (b) to the number of full revolutions completed in the first 4.0s.
(d) Immediately after t=4.0s the motor stops exerting torque, and the CD continues to spin at the constant angular velocity found in part (a). How much additional time is required for the disc to complete a total of 500 revolutions, counting those already made during the first 4.0s?