An ice skater spinning with outstretched arms has an angular speed of 5.0rad/s . She tucks...
An ice skater spinning with outstretched arms has an angular speed of 5.0rad/s . She tucks in her arms, decreasing her moment of inertia by 29% .
What is the resulting angular speed? rad/s
By what factor does the skater's kinetic energy change? (Neglect any frictional effects.)
where does the extra kinetic energy come from?
Homework Answers
Momentum is always conserved.
Angular Momentum = moment of inertia * angular
velocity
Decreasing the moment of inertia by 29%, means the new moment of
inertia = 71% of the original momentum of inertia
New angular momentum = new moment of inertia * new angular
velocity
New angular momentum = (.71 * original moment of inertia)
* angular velocity
Angular momentum is conserved, so new angular momentum = original
angular momentum
(.71 * original moment of inertia) * new angular velocity =
original moment of inertia * 5.0
new angular velocity = 5.0
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