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 (Ibar = 1/12mℓ2 where ℓ is the length of the bar). When the skater's hands and arms are brought in and wrapped around their body to execute the spin, the hands and arms can be considered a thin-walled hollow cylinder. The hands and arms have a combined mass 6 kg. When outstretched, they span 1.7 m. When wrapped, they form a cylinder of radius 34 cm. The moment of inertia about the rotation axis of the remainder of the body is constant and equal to 0.4 kg·m2. If the original angular speed is 0.3 rev/s, what is the final angular speed and find out how much the figure skater's rotational KE increased?
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 (Ibar = 1/12mℓ2 where ℓ is the length of the bar). When the skater's hands and arms are brought in and wrapped around their body to execute the spin, the hands and arms can be considered a thin-walled hollow cylinder. The hands and arms have a combined mass 6 kg. When outstretched, they span 1.7 m. When wrapped, they form a cylinder of radius 34 cm. The moment of inertia about the rotation axis of the remainder of the body is constant and equal to 0.4 kg·m2. If the original angular speed is 0.3 rev/s, what is the final angular speed and find out how much the figure skater's rotational KE increased?
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