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Problem: A uniform solid disk has a radius of R = 0.46 m and mass of M = 4.9 kg and is free to rotate about an axis through its center of mass. It is initially at rest, and at t = 0 a constant torque is applied such that the disk starts to turn with angular acceleration α = 18.8 rad/s2.

Part A: How many revolutions has the disk made at t = 10.4 seconds?

I know the right answer for above problem but explain how to get this solution! Thanks.

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