(II) Digital bits on a 12.0-cm diameter audio CD are encoded along an outward spiraling path that starts at radius R = 2.5 cm and finishes at radius R, = 5.8 cm. The distance between the centers of neighboring spiral- windings is 1.6 um (= 1.6 × 10-º m). (a) Determine the total length of the spiraling path. [Hint: Imagine "unwinding" the spiral into a straight path of width 1.6 µm, and note that the original spiral and the straight path both occupy the same area.] (b) To read information, a CD player adjusts the rotation of the CD so that the player's readout laser moves along the spiral path at a constant speed of about 1.2 m/s. Estimate the maximum playing time of such a CD.

University Physics Volume 2
18th Edition
ISBN:9781938168161
Author:OpenStax
Publisher:OpenStax
Chapter12: Sources Of Magnetic Fields
Section: Chapter Questions
Problem 12.8CYU: Check your Understanding Repeat the calculations from the previous example for I0=0.040A .
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(II) Digital bits on a 12.0-cm diameter audio CD are encoded
along an outward spiraling path that starts at radius
R = 2.5 cm and finishes at radius R, = 5.8 cm. The
distance between the centers of neighboring spiral-
windings is 1.6 um (= 1.6 × 10-º m). (a) Determine the
total length of the spiraling path. [Hint: Imagine "unwinding"
the spiral into a straight path of width 1.6 µm, and note
that the original spiral and the straight path both occupy
the same area.] (b) To read information, a CD player
adjusts the rotation of the CD so that the player's readout
laser moves along the spiral path at a constant speed of
about 1.2 m/s. Estimate the maximum playing time of such
a CD.
Transcribed Image Text:(II) Digital bits on a 12.0-cm diameter audio CD are encoded along an outward spiraling path that starts at radius R = 2.5 cm and finishes at radius R, = 5.8 cm. The distance between the centers of neighboring spiral- windings is 1.6 um (= 1.6 × 10-º m). (a) Determine the total length of the spiraling path. [Hint: Imagine "unwinding" the spiral into a straight path of width 1.6 µm, and note that the original spiral and the straight path both occupy the same area.] (b) To read information, a CD player adjusts the rotation of the CD so that the player's readout laser moves along the spiral path at a constant speed of about 1.2 m/s. Estimate the maximum playing time of such a CD.
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