A digital audio compact disc carries data along a continuousspiral track from the inner circumference of the disc to theoutside edge. Each bit occupies 0.6 µm of the track. A CDplayer turns the disc to carry the track counterclockwise above alens at a constant speed of 1.18 m/s.
(a) Find the required angular speed at the beginning of the recording where the spiral has a radius of 2.30cm.
rad/s
(b) Find the required angular speed at the end of the recording,where the spiral has a radius of 4.80cm.
rad/s
(c) A recording lasts for 62 min,7 s. Find the average angularacceleration of the disc.
rad/s2
(d) Assuming that the acceleration is constant, find the totalangular displacement of the disc as it plays.
rad
(e) Find the total length of the track.
km