phy101 Assignment solution 2 full solution april spring 2011

**Vuhelper** · 04-26-2011, 04:41 AM

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Q# 1

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A compact disc stores lectures Physics (PHY101) 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 20.0mm and 50.0mm, respectively. As the disc spins inside a CD player, the track is scanned at a constant linear speed of 1.5m/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 75.0m. 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 75.0m playing time? Take the direction of rotation of the disc to be positive.

Ans 1. The problem statement, all variables and given/known data
Compact Disc. 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.

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?