A compact disc (CD) stores music in a coded pattern of tiny pits 10-7 meter deep. The pits are arranged in a track that spirals outward toward the rim of the disc; assume the inner and outer radii of this spiral are 26.0 millimeter and 52.0 millimeter, correspondingly. As the disc spins inside a CD player, the track is scanned at a constant linear speed of 1.19 m/s.
(a) Find the angular speed of the compact disc (CD) when the innermost part of the track is scanned? The outer most part of the track?
ωinnermost = rad/s
ωoutermost = rad/s
(b) If the maximum playing time of a CD is 71.0 minute. Find what would be the length of the track on such a maximum-duration CD if it were stretched out in a straight line?
km
(c) Find the average angular acceleration of a maximum-duration CD during its 71.0 minute playing time? Take the direction of rotation of the disc to be positive.
rad/s2