A digital audio compact disc carries data along a continuous spiral track from the inner circumference of the disc to the outside edge. Each bit occupies 0.6 um of the track. A CD player turns the disc to carry the track counterclockwise above a lens at a constant speed of 1.35 m/s. (a) Find the required angular speed at the beginning of the recording where the spiral has a radius of 2.30 cm. (Enter your answer to at least one decimal place.) 58.7 rad/s (b) Find the required angular speed at the end of the recording, where the spiral has a radius of 4.75 cm. (Enter your answer to at least one decimal place.) 28.4 rad/s (c) A full-length recording lasts for 60 min, 33 s. Find the average angular acceleration of the disc. -0.00833 V rad/s2 find the total angular displacement of the disc as it plays.

Principles of Physics: A Calculus-Based Text
5th Edition
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter10: Rotational Motion
Section: Chapter Questions
Problem 15P: A digital audio compact disc carries data, each bit of which occupies 0.6 m along a continuous...
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A digital audio compact disc carries data along a continuous spiral track from the inner circumference of the disc to the outside edge. Each bit occupies 0.6 um of
the track. A CD player turns the disc to carry the track counterclockwise above a lens at a constant speed of 1.35 m/s.
(a) Find the required angular speed at the beginning of the recording where the spiral has a radius of 2.30 cm. (Enter your answer to at least one decimal
place.)
58.7
rad/s
(b) Find the required angular speed at the end of the recording, where the spiral has a radius of 4.75 cm. (Enter your answer to at least one decimal
place.)
28.4
rad/s
(c) A full-length recording lasts for 60 min, 33 s. Find the average angular acceleration of the disc.
-0.00833
V rad/s2
find the total angular displacement of the disc as it plays.
Transcribed Image Text:A digital audio compact disc carries data along a continuous spiral track from the inner circumference of the disc to the outside edge. Each bit occupies 0.6 um of the track. A CD player turns the disc to carry the track counterclockwise above a lens at a constant speed of 1.35 m/s. (a) Find the required angular speed at the beginning of the recording where the spiral has a radius of 2.30 cm. (Enter your answer to at least one decimal place.) 58.7 rad/s (b) Find the required angular speed at the end of the recording, where the spiral has a radius of 4.75 cm. (Enter your answer to at least one decimal place.) 28.4 rad/s (c) A full-length recording lasts for 60 min, 33 s. Find the average angular acceleration of the disc. -0.00833 V rad/s2 find the total angular displacement of the disc as it plays.
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