The magnitude of the total angular momentum of the woman–disk system is 14,879.9 kgm²/s.
The given parameters;
mass of the woman, m₁ = 50 kgangular speed of the disk, ω = 0.8 rev/smass of the disk, m₂ = 270 kgradius of the disk, R = 4 mThe moment of inertia of the disk and the woman is calculated as follows;
The angular speed in rad/s is calculated as;
The magnitude of the total angular momentum of the woman–disk system is calculated as follows;
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angular momentum,
Explanation:
Given that,
Mass of the woman, m = 50 kg
Angular velocity of the disk,
Mass of the disk, m' = 2670 kg
Radius of the disk, R = 4 m
We need to find the magnitude of the total angular momentum of the woman–disk system. The moment of inertia of the system is equal to the sum of moment of inertia of women and the moment off inertia of the disk.
The angular momentum is given by :
or
So, the magnitude of the total angular momentum of the woman–disk system is . Hence, this is the required solution.
It is NOT possible
Explanation: