A compact disc plays for 74 minutes and has a playing area of outer radius 6.05c

Question

A compact disc plays for 74 minutes and has a playing area of outer radius 6.05cm. During this time the rotational frequency of the disk is reduced at a constant rate from 500rpm to 200rpm. Consider the points A and B located respectively at the inner and outer border of the playing area. The disk plays properly if the tangential speed of point A just after the play starts is equal to the tangential speed of point B just before the play ends.

What is the inner radius of the playing area in centimeters?

What is the tangential speed of point B just before the play ends in m/s?

What is the magnitude of the angular deceleration of the disk in rad/s^2?

Please show all work necessary to complete the problem. Thanks in advance!

Explanation / Answer

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