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Get Full Access to University Physics - 13 Edition - Chapter 9 - Problem 20e
Get Full Access to University Physics - 13 Edition - Chapter 9 - Problem 20e

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# Compact Disc. A compact disc (CD) stores music in a coded ISBN: 9780321675460 31

## Solution for problem 20E Chapter 9

University Physics | 13th Edition

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Problem 20E

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. (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 angular acceleration of a 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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Solution 20E To solve this question, we shall have to consider the relationship between linear speed and angular speed. The relationship is given by v = r , where v is the linear speed, ris the radius of circular path and is the angular speed. (a) Given, linear speed v = 1.25 m/s 3 Inner radius of the spiral r 1 25.0 mm = 25.0 × 10 m The angular speed when the innermost part is scanned is, = v = 1.25 m/s = 50 rad/s i r1 25.0×103m Outer radius of the spiral r =258.0 mm = 58.0 × 10 3 m The angular speed when the outermost...

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##### ISBN: 9780321675460

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