A) A solid sphere of diameter D rotating about a diameter. B) A solid ellipsoid

Question

       A) A solid sphere of diameter D rotating about a diameter.
       B) A solid ellipsoid of major axis D and minor axis D/2 rotating about its major axis.

       C) A thin-walled hollow cylinder of diameter D rotating about an axis perpendicular to the plane of the circular face at its center.
       D) A solid cylinder of diameter D rotating about an axis perpendicular to each face through its center.
       E) A solid thin bar of length D rotating about an axis perpendicular to it at its center.

You are designing a flywheel to store large amounts of kinetic energy. Which one of the following uniform shapes will be the most effective for storing the greatest amount of kinetic energy if all the objects have the same mass and same angular velocity?

Explanation / Answer

C) A thin-walled hollow cylinder of diameter D rotating about an axis perpendicular to the plane of the circular face at its center.

since it has largest moment of inertia

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