Two disks are rotating about the same axis. Disk A has a moment of inertia of 3.

Question

Two disks are rotating about the same axis. Disk A has a moment of inertia of 3.0 kg · m2 and an angular velocity of +7.4 rad/s. Disk B is rotating with an angular velocity of -9.3 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 -2.3 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?

A bicycle is rolling down a circular portion of a path; this portion of the path has a radius of 8.94 m. As the drawing illustrates, the angular displacement of the bicycle is 0.952 rad. What is the angle (in radians) through which each bicycle wheel (radius 0.390 m) rotates? rad Additional Materials Section 8.6 Submit Answer Save Progress

Explanation / Answer

From conservation of angular momentum
3.0 x 7.4 - I x 9.3 = (3.0+I) x (-2.3)

solve for I, we will get,

I=3.0*(7.4+2.3)/(9.3-2.3)

4.157 kg.m2

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