Home Calculators Moment of Inertia Calculator
Rotational Dynamics

Moment of Inertia Calculator

Calculate moment of inertia for common geometric shapes

Dimensions & Mass

Formula
I = ?
Select a shape to see the formula
Moment of Inertia
-
kg·m²
Shape Type
-
Axis of Rotation
-
Physical Meaning
Moment of inertia represents how difficult it is to change an object's rotational motion.
Calculation
Enter values to see calculation steps

Rotational Motion

Analogous to mass in linear motion

Parallel Axis Theorem

I = I_cm + md²

Angular Momentum

L = Iω (rotational equivalent of p = mv)