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 t 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.) rad/s (b) Find the required angular speed the end of the recording, where the spiral has a radius of 4.70 cm. (Enter your answer to at least one decimal place.) rad/s (c) A full-length recording lasts for 68 min, 33 s. Find the average angular acceleration the disc. rad/s2 (d) Assuming that the acceleration 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
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 continuous spiral track from the inner circumference of the disc to the outside edge. Each bit occupies 0.6 μm 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.)
rad/s
(b) Find the required angular speed at the end of the recording, where the spiral has a radius of 4.70 cm. (Enter your answer to at least one decimal place.)
rad/s
(c) A full-length recording lasts for 68 min, 33 s. Find the average angular acceleration of the disc.
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
Transcribed Image Text:A digital audio compact disc carries data along continuous spiral track from the inner circumference of the disc to the outside edge. Each bit occupies 0.6 μm 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.) rad/s (b) Find the required angular speed at the end of the recording, where the spiral has a radius of 4.70 cm. (Enter your answer to at least one decimal place.) rad/s (c) A full-length recording lasts for 68 min, 33 s. Find the average angular acceleration of the disc. 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
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