Moment of Inertia: Sphere

The moment of inertia of a sphere about its central axis and a thin spherical shell are shown. For mass M = kg and radius R = cm the moment of inertia of a solid sphere is I(solid sphere) = kg m2 and the moment of inertia of a thin spherical shell is I(spherical shell) = kg m2 Show development of expressions

Moment of Inertia: Sphere

The expression for the moment of inertia of a sphere can be developed by summing the moments of infintesmally thin disks about the z axis. The moment of inertia of a thin disk is

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Sphere Details

Details about the moment of inertia of a sphere.

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Sphere Integral Details

The process involves integrating the moments of inertia of infinitesmally thin disks from the top to the bottom of the sphere. This involves polynomial form integrals.