A compact disc (CD) stores music in a codedpattern of tiny pits 10-7 m deep. The pits are arranged in a track thatspirals outward toward the rim of the disc; the inner and outer radii ofthis spiral are 25.0 mm and 58.0 mm, respectively. As the disc spinsinside a CD player, the track is scanned at a constant linear speed of1.25 m/s. (a) What is the angular speed of the CD when the innermostpart of the track is scanned? The outermost part of the track? (b) Themaximum playing time of a CD is 74.0 min. What would be the lengthof the track on such a maximum-duration CD if it were stretched outin a straight line? (c) What is the average angular acceleration of amaximum-duration CD during its 74.0 min playing time? Take the directionof rotation of the disc to be positive.
A compact disc (CD) stores music in a coded
pattern of tiny pits 10-7 m 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 the innermost
part of the track is scanned? The outermost part of the track? (b) The
maximum playing time of a CD is 74.0 min. 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
maximum-duration CD during its 74.0 min playing time? Take the direction
of rotation of the disc to be positive.
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