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The energy stored in a flywheel of inertia \( J \) at angular speed \( \omega \) is

  • A.\( J\omega \)
  • B.\( \tfrac{1}{2}J\omega^2 \)
  • C.\( J\omega^2 \)
  • D.\( \tfrac{1}{2}J\omega \)

Answer: B

The square dependence means most of the useful energy lies in the upper part of the speed range, so a small percentage drop in speed releases a great deal. It is also why flywheels are run as fast as their material will allow.

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