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His hands and arms have a combined mass 7.0 kg . When outstretched, they span 1.6 m ; when wrapped, they form a thin-walled hollow cylinder of radius 25 cm . The moment of inertia about the rotation axis of the remainder of his body is constant and equal to 0.4 kg⋅m2A.If his original angular speed is 0.40 rev/s , what is his final angular speed?

Question

His hands and arms have a combined mass 7.0 kg . When outstretched, they span 1.6 m ; when wrapped, they form a thin-walled hollow cylinder of radius 25 cm . The moment of inertia about the rotation axis of the remainder of his body is constant and equal to 0.4 kg⋅m2

A.If his original angular speed is 0.40 rev/s , what is his final angular speed?

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Step 1

The moment of inertia of the body about the rotation axis is given to be 0.4 kgm2.

The moment of inertia of his body when hands are outstretched can be calculated as follows.

 

The moment of inertia of his body when hands are outstretched can be calculated as follows.

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Step 2

The moment of inertia of his body when hands are wrapped can be calculated as

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Step 3

According to law of conservation of momentum, total momentum of the system alwa...

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