A CD has a mass of 16.0 g and a radius of 6.03 cm. When inserted into a player, the CD starts from rest and accelerates to an angular velocity of 19.5 rad/s in 0.685 s. Assuming the CD is a uniform solid disk, determine the net torque acting on it

The net torque acting on the CD is .

Explanation:

According to the D'Alembert's Principle, net torque of a rigid body is equal to the product of the moment of inertia with respect to its center of gravity and angular acceleration. That is:

Where:

- Net torque, measured in Newton-meters.

- Moment of inertia, measured in kilogram-square meters.

- Angular acceleration, measured in radians per square second.

The moment of inertia of a solid disk is:

Given that and , the moment of inertia of the CD is:

Let suppose that CD accelerates constantly, so that motion equation is the following:

Finally, the net torque acting on the CD is:

The net torque acting on the CD is .

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