What is the torque of a cd after accelerating to 500 rev/min in 3.0 revolutions?

ryty
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Homework Statement


When play is pressed, a cd accelerates uniformly from rest to 500 rev/min in 3.0 revolutions. If the Cd has a radius of 5.5 cm, and a mass of 20 g, what is the torque?


Homework Equations


not sure, this is my problem. i think its torque=angular acceleration*inertia. but i don't know how to turn "500 rpm in 3.0 revolutions" into angular acceleeration


The Attempt at a Solution


nothing, i don't how to make the equations work
 
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You have your analogy from linear kinematics equations to rotational motion equations.

a = delta v / delta t

So the same is true for rotational acceleration, and change in rotational velocity
 
but how does torque fit into this equation?
 
You can use: \omega^{2}=2\alpha s , where s=2\pi r * 3 (3 times the circumference)

and 500 rev/min=4770 rad/sec
 
To solve this, I first used the units to work out that a= m* a/m, i.e. t=z/λ. This would allow you to determine the time duration within an interval section by section and then add this to the previous ones to obtain the age of the respective layer. However, this would require a constant thickness per year for each interval. However, since this is most likely not the case, my next consideration was that the age must be the integral of a 1/λ(z) function, which I cannot model.
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