Angular momentum/kinetic energy

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SUMMARY

The discussion centers on the relationship between angular momentum and kinetic energy in the context of an ice skater holding weights. When the skater brings the weights closer to his body, his angular velocity increases due to the conservation of angular momentum. This increase in angular velocity results in a rise in rotational kinetic energy, which is attributed to the work done by the skater's muscles on the weights. The energy required for this increase in kinetic energy comes from the skater's exertion.

PREREQUISITES
  • Understanding of angular momentum and its conservation principles
  • Knowledge of rotational kinetic energy formulas
  • Familiarity with the concept of work in physics
  • Basic grasp of ice skating dynamics
NEXT STEPS
  • Study the conservation of angular momentum in various physical systems
  • Explore the mathematical derivation of rotational kinetic energy
  • Investigate the role of muscle work in increasing kinetic energy
  • Examine real-world applications of angular momentum in sports and physical activities
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Physics students, educators, and anyone interested in the mechanics of motion, particularly in sports dynamics and the principles of angular momentum and kinetic energy.

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Homework Statement


An ice skater holds two weights in his outstretched hands and rotates about his vertical axis. Then he brings the weights closer to his hands.In accordance with the law of conservation of angular momentum,the angular velocity of the ice skater increases.But so does the rotational kinetic energy.Where does this extra energy come from?


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The Attempt at a Solution

 
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The muscles in his hands do work on the weights to bring them closer. this will increase the rotational kinetic energy.
 

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