Ice Skater

We model a 66 kg and 165 cm tall ice skater when spinning with arms and legs in as a solid cylinder of diameter \(40\) cm.

Part 1

Determine her moment of inertia(\(I\_{in}\)).

Answer Section

Please enter in a numeric value in kg \(\cdot\) \(\rm{m^{2}}\).

Part 2

Calculate her angular momentum (\(L\_{in}\)) when she is spinning with an angular speed of \(\omega\_{in}\) = \(4\) rev/s. [ Hint: you do not need to change rev/s to rad/s]

Answer Section

Please enter in a numeric value in kg \(\cdot\) \(\rm{m^{2}}\) \(\cdot\) \(\frac{rev}{s}\).

Part 3

She suddenly extends her arms and one of her legs outward so that her moment inertia increases to \(I\_{out}\)= \(4.3\) kg\(\cdot\)\(\rm{m^{2}}\) . What will be her final angular speed (in rev/s)?

Answer Section

Please enter in a numeric value in \(\frac{rev}{s}\).

Attribution

Problem is licensed under the CC-BY-NC-SA 4.0 license.