# Problem: If a rotating skater triples her rate of rotation by decreasing her moment of inertia by 1/3, by what factor does her rotational kinetic energy change?

###### FREE Expert Solution

Rotational kinetic energy:

$\overline{){\mathbf{K}}{\mathbf{.}}{{\mathbf{E}}}_{{\mathbf{rot}}}{\mathbf{=}}\frac{\mathbf{1}}{\mathbf{2}}{\mathbit{I}}{{\mathbf{\omega }}}^{{\mathbf{2}}}}$

The ratio of initial to final rotational kinetic energy:

85% (198 ratings) ###### Problem Details

If a rotating skater triples her rate of rotation by decreasing her moment of inertia by 1/3, by what factor does her rotational kinetic energy change?

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