Conservation of angular momentum - change of inertia

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SUMMARY

The discussion centers on the relationship between the conservation of angular momentum and the conservation of rotational energy, specifically illustrated through the example of an ice skater. When the skater draws in their arms, their rotation speeds up, leading to an increase in rotational energy. The contributor asserts that the work done by the skater's muscles to draw in their arms is equal to the increase in rotational energy, establishing a direct connection between muscle work and energy conservation in rotational motion.

PREREQUISITES
  • Understanding of angular momentum and its conservation principles
  • Basic knowledge of rotational energy concepts
  • Familiarity with the physics of ice skating dynamics
  • Concept of work-energy principle in physics
NEXT STEPS
  • Research the mathematical formulation of angular momentum conservation
  • Explore the relationship between work and energy in rotational systems
  • Study the biomechanics of ice skating and its effects on motion
  • Investigate real-world applications of rotational energy conservation in sports
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Physics students, educators, sports scientists, and anyone interested in the mechanics of rotational motion and energy conservation principles.

Asgrrr
Recently I was searching the internet and books for the connection between conservation of angular momentum and conservation of rotational energy and found nothing. Let's say an ice skater rotates and draws the arms in - the rotation speeds up. The rotational energy must increase because the linear velocity of every particle is increased.

I think I managed to prove that the work required to draw in the arms is equal to the increase in rotational energy. Could this be correct?
 
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Sure - work has to come from somewhere. In this case it's the skater's muscles.
 

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