The law of conservation of angular momentum is often explained
using the example of a skater spinning on ice. The skater in a spin with
arms out spins faster as she draws her arms inwards because of conservation
of angular momentum.  But how accurate is this explanation?. I would say she
also adds to her angular momentum because she must perform work to pull her
arms inward.

Assuming friction with the ice is negligible, and assuming she has unlimited
strength she could in theory cause her self to spin as fast she wants by
repeatedly allowing her arms to move outwards and then drawing them inwards.

Or is there a flaw in my analysis?

Harry


  

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