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 = 5.8cm. The distance between the centers of neighboring spiral windings is 1.6 μm (= 1.6 × 10-6 m).
(a) Determine the total length of the spiraling path.
(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.