A compact disc (CD) stores music in a coded pattern of tiny pits 10−7m deep. The pits are arranged in a track that spirals outward toward the rim of the disc; the inner and outer radii of this spiral are 25.0 mm and 58.0 mm, respectively. As the disc spins inside a CD player, the track is scanned at a constant linear speed of 1.25 m/s.
a. What is the angular speed of the CD when scanning the innermost part of the track? the outermost part of the track?
b. The maximum playing time of a CD is 74.0 minutes. What would be the length of the track on such a maximum-duration CD if it were stretched out in a straight line?
c. What is the average angular acceleration of a maximum-duration CD during its 74.0 minutes playing time? Take the direction of rotation of the disc to be positive.