Moment of inertia of a thin spherical shell of mass M and radius R about its diameter. The moment of inertia is simply the mass times the square of the perpendicular distance of central to the axis of rotation. Because a sphere is the same dimensions in every dimension, the moment of inertia is the same about every axis. Moment Inertia of a sphere through its central axis I (2/5) M R2 Whre M mass of the sphere and R Radius of the sphere For a hollow sphere I (2/5)MR2 minus (2/5)mr2 If only density of the sphere material is known p then I (8/15) p pi () R5 For hollow sphere deduct inner I from the outer I Griffin Choe.

I = ∑( m 1r 1 2 + m 2r 2 2 + m 3r 3 2 +m 4r 4 2 + ……. The difference between a hollow sphere and a hollow core sphere is a hollow sphere has a thin shell, or a thickness that is neglible. Moment of inertia is a measure of the resistance of a body to angular acceleration about a given axis that is equal to the sum of the products of each element of mass in the body and the square of the element’s distance from the axis.

Moment of inertia of a sphere