Math Problem Statement
A discus is being rotated by an athlete at some radius r r and some angular velocity ω ⃗ ω . Keeping everything else constant, which changes to the system would increase the angular velocity the most?
Solution
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Math Problem Analysis
Mathematical Concepts
Angular Velocity
Moment of Inertia
Conservation of Angular Momentum
Formulas
Rotational Kinetic Energy: E_rot = (1/2) I ω^2
Moment of Inertia: I = m r^2
Angular Momentum: L = I ω
Theorems
Conservation of Angular Momentum
Suitable Grade Level
Grades 11-12
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