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 counterciockwise above a lens at a constant speed of 1.40 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.) 60.86 rad/s (b) Find the required angular speed at the end of the recording, where the spiral has a radius of 5.25 cm. (Enter your answer to at least one decimal place.) 26.7 rad/s (c) A full-length recording lasts for 60 min, 33 s. Find the average angular acceleration of the disc. -0.01 X rad/s2 (d) Assuming that the acceleration is constant, find the total angular displacement of the disc as it plays. rad (e) Find the total length of the track. km

Principles of Physics: A Calculus-Based Text
5th Edition
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
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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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Answer part c,d, and e.
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 1.40 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.)
60.86
V rad/s
(b) Find the required angular speed at the end of the recording, where the spiral has a radius of 5.25 cm. (Enter
your answer to at least one decimal place.)
26.7
rad/s
(c) A full-length recording lasts for 60 min, 33 s. Find the average angular acceleration of the disc.
-0.01
x rad/s?
(d) Assuming that the acceleration is constant, find the total angular displacement of the disc as it plays.
ect
rad
en
(e) Find the total length of the track.
ya
km
as
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 1.40 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.) 60.86 V rad/s (b) Find the required angular speed at the end of the recording, where the spiral has a radius of 5.25 cm. (Enter your answer to at least one decimal place.) 26.7 rad/s (c) A full-length recording lasts for 60 min, 33 s. Find the average angular acceleration of the disc. -0.01 x rad/s? (d) Assuming that the acceleration is constant, find the total angular displacement of the disc as it plays. ect rad en (e) Find the total length of the track. ya km as
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