The outstretched handsand arms of a figure skater preparingfor a spin can be considered aslender rod pivoting about an axisthrough its center (Fig. ).When the skater’s hands and armsare brought in and wrapped aroundhis body to execute the spin, thehands and arms can be considereda thin-walled, hollow cylinder. Hishands and arms have a combinedmass of 8.0 kg. When outstretched, they span 1.8 m; when wrapped,they form a cylinder of radius 25 cm. The moment of inertia aboutthe rotation axis of the remainder of his body is constant and equal to0.40 kg . m2. If his original angular speed is 0.40 rev/s, what is his finalangular speed?
The outstretched handsand arms of a figure skater preparingfor a spin can be considered aslender rod pivoting about an axisthrough its center (Fig. ).When the skater’s hands and armsare brought in and wrapped aroundhis body to execute the spin, thehands and arms can be considereda thin-walled, hollow cylinder. Hishands and arms have a combinedmass of 8.0 kg. When outstretched, they span 1.8 m; when wrapped,they form a cylinder of radius 25 cm. The moment of inertia aboutthe rotation axis of the remainder of his body is constant and equal to0.40 kg . m2. If his original angular speed is 0.40 rev/s, what is his finalangular speed?
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Question
The outstretched hands
and arms of a figure skater preparing
for a spin can be considered a
slender rod pivoting about an axis
through its center (Fig. ).
When the skater’s hands and arms
are brought in and wrapped around
his body to execute the spin, the
hands and arms can be considered
a thin-walled, hollow cylinder. His
hands and arms have a combined
mass of 8.0 kg. When outstretched, they span 1.8 m; when wrapped,
they form a cylinder of radius 25 cm. The moment of inertia about
the rotation axis of the remainder of his body is constant and equal to
0.40 kg . m2. If his original angular speed is 0.40 rev/s, what is his final
angular speed?
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