How many revolutions has the disk made at t = 10 seconds?
A uniform solid disk has a radius of R = 0.45 m and mass of M = 4.35 kg and is free to rotate about an axis through its center of mass as shown. 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 = 6π rad/s2.
Θ = (1/2π)*(α/2)*t² = (1/2π)*(6π/2)*10² = 150 rev
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