`MoI = (2* M * r ^2)/5`

Enter a value for all fields

The Moment of Inertia of a Solid Sphere about it Diameter calculator computes the moment of inertia of a sphere of uniform density with radius a around the diameter and a mass of M.

INSTRUCTIONS: Choose units and enter the following:

• (M) This is the mass of the sphere
• (r) This is the radius of the sphere

Moment of Inertia of a Solid Sphere (MOI):  The calculator returns the moment of inertia in kg•m².

Related Calculators:

• Compute the Moment of Inertia of a Solid Sphere around its Diameter
• Compute the Moment of Inertial of a Solid Sphere around its Tangent

The Math / Science

The formula for the moment of inertia of a solid, uniform density, sphere about its diameter is:

            MOI =  2•M•r² / 5

where:

• MOI is the moment of inertia of a solid sphere about its diameter
• M is the mass of the sphere
• r is the radius of the sphere