Kinetic energy:

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

Angular momentum:

$\overline{){\mathbf{L}}{\mathbf{=}}{\mathbf{I}}{\mathbf{\xb7}}{\mathbf{\omega}}}$

**Moment of inertia will decrease**.

From the conservation of momentum theory,** Angular momentum is conserved **if no external torque acts on the system.

An ice skater is spinning with her arms extended out at her sides. She folds in her arms. Explain what happens to her total kinetic energy, moment of inertia, angular speed, and angular momentum in doing so.

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What scientific concept do you need to know in order to solve this problem?

Our tutors have indicated that to solve this problem you will need to apply the Opening/Closing Arms on Rotating Stool concept. You can view video lessons to learn Opening/Closing Arms on Rotating Stool. Or if you need more Opening/Closing Arms on Rotating Stool practice, you can also practice Opening/Closing Arms on Rotating Stool practice problems.