Mass Moment of Inertia Calculator

Calculate mass moment of inertia for common solid shapes: cylinder, sphere, cone, disk, and rectangular prism.

Total mass of the object.
kg
Outer radius for cylinder/sphere, or half-width for rectangle.
mm
Height for cylinder/cone, or length for prism.
mm
1=Solid Cylinder, 2=Hollow Cylinder (R2=R/2), 3=Sphere, 4=Rectangular Prism.

Results

I about central axis-kg·mm²
I about transverse axis-kg·mm²
Radius of Gyration (central)-mm
References: Meriam & Kraige — Dynamics; Machinery's Handbook