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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 (Figure 1). When his 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 9.0 kg. When outstretched, they span 1.9 m; when wrapped, they form a thin- walled hollow cylinder of radius 26 cm. The moment of inertia about the rotation axis of the remainder of his body is constant and equal to 0.4 kg. m².

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 (Figure 1). When his 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 9.0 kg. When outstretched, they span 1.9 m; when wrapped, they form a thin- walled hollow cylinder of radius 26 cm. The moment of inertia about the rotation axis of the remainder of his body is constant and equal to 0.4 kg. m².

College Physics
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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  • If his original angular speed is 0.50 rev/s, what is his final angular speed?
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 (Figure 1). When his 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 9.0 kg. When outstretched, they span 1.9 m; when wrapped, they form a thin-walled hollow cylinder of radius 26 cm. The moment of inertia about the rotation axis of the remainder of his body is constant and equal to 0.4 kg·m².
Transcribed Image Text: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 (Figure 1). When his 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 9.0 kg. When outstretched, they span 1.9 m; when wrapped, they form a thin-walled hollow cylinder of radius 26 cm. The moment of inertia about the rotation axis of the remainder of his body is constant and equal to 0.4 kg·m².
The image depicts two illustrations of a figure skater demonstrating the principles of angular momentum. 1. **Left Illustration**: The skater is shown with arms and one leg extended outwards. This position indicates a larger moment of inertia due to the extended limbs, leading to a slower spin. The skater's legs are slightly crossed, and he appears to be poised in a graceful pose. 2. **Right Illustration**: The skater is shown with arms crossed over the chest and legs tightly together. This position results in a smaller moment of inertia because the limbs are drawn inward. Consequently, the skater spins faster. The motion lines around the skater emphasize the increased speed of rotation. These illustrations effectively demonstrate how the distribution of mass affects rotational speed in accordance with the conservation of angular momentum.
Transcribed Image Text:The image depicts two illustrations of a figure skater demonstrating the principles of angular momentum. 1. **Left Illustration**: The skater is shown with arms and one leg extended outwards. This position indicates a larger moment of inertia due to the extended limbs, leading to a slower spin. The skater's legs are slightly crossed, and he appears to be poised in a graceful pose. 2. **Right Illustration**: The skater is shown with arms crossed over the chest and legs tightly together. This position results in a smaller moment of inertia because the limbs are drawn inward. Consequently, the skater spins faster. The motion lines around the skater emphasize the increased speed of rotation. These illustrations effectively demonstrate how the distribution of mass affects rotational speed in accordance with the conservation of angular momentum.
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