14. (II) Digital bits on a 12.0-cm diameter audio CD are encoded along an outward spiraling path that starts at radius R₁ = 2.5 cm and finishes at radius R₂ = 5.8 cm. The distance between the centers of neighboring spiral- windings is 1.6 µm (= 1.6 x 10-6m). (a) Determine the total length of the spiraling path. [Hint: Imagine "unwinding" the spiral into a straight path of width 1.6 um, 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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Chapter2: Kinematics
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How would you solve part a and part b?

14. (II) Digital bits on a 12.0-cm diameter audio CD are encoded
along an outward spiraling path that starts at radius
R₁ = 2.5 cm and finishes at radius R₂ = 5.8 cm. The
distance between the centers of neighboring spiral-
windings is 1.6 µm (= 1.6 x 10-6m). (a) Determine the
total length of the spiraling path. [Hint: Imagine "unwinding"
the spiral into a straight path of width 1.6 um, 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:14. (II) Digital bits on a 12.0-cm diameter audio CD are encoded along an outward spiraling path that starts at radius R₁ = 2.5 cm and finishes at radius R₂ = 5.8 cm. The distance between the centers of neighboring spiral- windings is 1.6 µm (= 1.6 x 10-6m). (a) Determine the total length of the spiraling path. [Hint: Imagine "unwinding" the spiral into a straight path of width 1.6 um, 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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