A woman with mass 50.0kg is standing on the rim of a largedisk that is rotating

Question

A woman with mass 50.0kg is standing on the rim of a largedisk that is rotating at 0.500rev/s about an axis perpendicular toit through its center. The disk has a mass of 110kg and a radius of4.00m. Calculate the magnitude of the total angularmomentum of the woman-plus-disk system, assuming that you can treatthe woman as a point. A woman with mass 50.0kg is standing on the rim of a largedisk that is rotating at 0.500rev/s about an axis perpendicular toit through its center. The disk has a mass of 110kg and a radius of4.00m. Calculate the magnitude of the total angularmomentum of the woman-plus-disk system, assuming that you can treatthe woman as a point. Calculate the magnitude of the total angularmomentum of the woman-plus-disk system, assuming that you can treatthe woman as a point.

Explanation / Answer

Angular momentum L = I                                   = ( 1/2 MR2 + mR2 ) (0.5*2*3.14) rad/s                                   = ( 1/2 (110) (4)2 + (50 ) (4) 2 )(0.5*2*3.14) rad/s                                  = 5275 kg rad/s2

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