The Moment of Inertia of an Ellipsoid rotating about the Axis1 or 2 calculator computes moment of inertia about axis1 or axis2, the (the shorter axes, b or c, in the picture) based on the mass, the length of a and b.
INSTRUCTIONS: Choose units and enter the following:
Moment of Inertia (I1 or I2): The calculator returns the moment of inertia in kilograms per square meters.
The ellipsoid is defined by the lengths of its three Cartesian axes, where as described in the diagram, `b = c` and `a` lies along the `"axis"_3`. The Moments of Inertia define the spin of an ellipsoid and have a real world example in the motion of a football. 1 The formula for the moment of inertia of an ellipsoid around axis 3 is:
`I_1 = I_2 = (m*b^2)/5 * (1 + a^2/b^2)`
where: