A compact disc (CD) stores music in a coded pattern of tinypits 10 -7 m deep. Th
ID: 1724013 • Letter: A
Question
A compact disc (CD) stores music in a coded pattern of tinypits 10-7 m deep. The pits are arranged in a track thatspirals outward toward the rim of the disc; suppose the inner andouter radii of this spiral are 26.0 mm and52.0 mm, respectively. As the disc spinsinside a CD player, the track is scanned at a constantlinear speed of 1.19 m/s. innermost = 1 rad/s outermost = 2 rad/s(c) What is the average angular acceleration of a maximum-durationCD during its 71.0-min playing time? Takethe direction of rotation of the disc to be positive.
rad/s2 A compact disc (CD) stores music in a coded pattern of tinypits 10-7 m deep. The pits are arranged in a track thatspirals outward toward the rim of the disc; suppose the inner andouter radii of this spiral are 26.0 mm and52.0 mm, respectively. As the disc spinsinside a CD player, the track is scanned at a constantlinear speed of 1.19 m/s. innermost = 1 rad/s outermost = 2 rad/s
(c) What is the average angular acceleration of a maximum-durationCD during its 71.0-min playing time? Takethe direction of rotation of the disc to be positive.
rad/s2 innermost = 1 rad/s outermost = 2 rad/s
Explanation / Answer
(_innermost) = v/(R_innermost) = (1.19)/(26.0e-3) = 45.769rad/sec (_outermost) = v/(R_outermost) = (1.19)/(52.0e-3) = 22.885rad/sec Item#C: {Average Angular Acceleration} = (_bar) = = /t = ((_outermost) - (_innermost))/t = ((22.885) -(45.769))/((71.0)*(60)) = -0.005372 rad/sec^2 .
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