Two disks are rotating about the same axis Disk A has a moment of inertia of 3.44 kg m2 and an angular velocity of 5.69 rad s Disk B is rotating with an angular velocity of 7.03 rad s The two disks are then linked together without the aid of any external torques so that they rotate as a single unit with an angular velocity of 4.23 rad s The axis of rotation for this unit is the same as that for the separate disks What is the moment of inertia of disk B

The moment of inertia of disk B is 0.446 kilogram-square meters.

Explanation:

In this case, the moment of inertia of the disk B can be determined by means of the Principle of Conservation of Angular Momentum, whose model is:

(1)

Where:

, - Moments of inertia of disks A and B, in kilogram-square meters.

, - Initial angular velocities of disks A and B, in radians per second.

- Final angular velocity of the resulting system, in radians per second.

Let suppose that disk A rotates counterclockwise, whereas disk B rotates clockwise and that resulting system rotates counterclockwise. If we know that , , and , then the moment of inertia of the disk B is:

The moment of inertia of disk B is 0.446 kilogram-square meters.

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