Moment of Inertia (Solid Sphere)

I = \frac{2}{5} M R^{2}

Moment of inertia of a uniform solid sphere rotating about any diameter.

Variables

Moment of inertia

Rotational inertia

kg·m²

Mass

Total mass of sphere

Radius

Radius of sphere

I = ∫r²dm. Using spherical coordinates and integrating over the volume gives I = (2/5)MR².

0/5000