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.
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.
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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