Discussion
Doubling the speed of a flywheel multiplies its stored energy by
Answer: D
Correct answer: four
Stored energy varies with the square of the angular velocity:
\[ E = \tfrac{1}{2}I\omega^2 \]so doubling the speed quadruples the energy. This is why flywheel design pushes speed rather than mass - and why the limit is the strength of the rim material, since the stress also rises with the square of the speed. Composite rotors are used because their strength-to-density ratio permits a higher tip speed than steel.
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