Consider again the DVD in Problem 60. As was explained in Example 8.2, the data on the DVD are encoded in a long spiral “track,” where the spacing between each turn of the track is 0.74 mm and the inner and outer radii of the program area are about 25 mm and 58 mm, respectively. Estimate the length of this spiral.

Data From Problem 60

Consider the DVD in Example 8.2. This DVD player is turned on at t - 0 and very quickly starts to play a video so that the DVD has an angular velocity of 1500 rpm just a few seconds after t - 0. The DVD then plays for 2 hours, during which time it has constant angular acceleration and a final angular velocity of 630 rpm. Estimate the total distance traveled by a point on the edge of the DVD. Assume the DVD has a radius of 6.0 cm.