A woman with mass 50 kg is standing on the rim of a large horizontal disk that is rotating at 0.80 rev/s about an axis through its center. The disk has mass 110 kg and radius 4.3 m.
Calculate the magnitude of the total angular momentum of the woman–disk system. (Assume that you can treat the woman as a point.)

The magnitude of the total angular momentum of the woman–disk system is 9,759.7 kgm²/s.

The given parameters;

The magnitude of the total angular momentum of the woman–disk system is calculated as follows;

Thus, the magnitude of the total angular momentum of the woman–disk system is 9,759.7 kgm²/s.

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Angular momentum of disc + woman is given as

Explanation:

As we know that the angular momentum of disc + woman is given as

here we know for disk moment of inertia is given as

similarly for woman we will have

so we will have

so angular momentum is given as