Compact Disc Problem: Average Angular Acceleration

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AI Thread Summary
The discussion focuses on calculating the average angular acceleration of a compact disc with inner and outer radii of 25 mm and 58 mm, respectively, while it spins at a constant linear speed of 1.25 m/s for a maximum duration of 74 minutes. The key equations involved are v = rω and the clarification that angular acceleration should be expressed as a = rω². Participants emphasize that integration is unnecessary since the angular frequency is not constant. The solution can be derived using the given linear speed and the first formula, simplifying the problem to basic algebra. The average angular acceleration can be determined from these parameters.
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Homework Statement



The inner and outer radii of a compact disc are 25 mm and 58 mm. As the disc spins inside a CD player, the track is scanned at a constant linear speed of 1.25m/s. The maximum playing time of a CD is 74.0 min. What is the average angular acceleration of a maximum-duration CD during its 74.0-min playing time? Take the direction of rotation of the disc to be positive.

Homework Equations



v=wr
angular acceleration=rw^2

The Attempt at a Solution


I tried to integrate wr somehow, but w is not constant.
 
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You don't need to integrate.

First of all, \omega, is the angular frequency. Your second formula is wrong. It should read;

a=r\omega^2 where a is the linear acceleration.

Either way, all you should need to solve this is the first formula.

You know that v=1.25m/s.

Can you use this, and your first formula to find the angular acceleration? If so, it should just be an algebra problem to find the average angular acceleration.
 
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