Moment of Inertia Calculator

Calculate rotational inertia for common shapes.
Calculator
Enter your values
Results
Moment of Inertia
3.33 kg·m²
I = (1/12)ML²
Analysis
Interpretation of the current calculator output

Calculation Summary

The current inputs have been processed for the moment of inertia calculator. Review the results panel for the computed output and use the charts tab to compare the current values visually.

How to Read It

The main result shows the direct answer for your current inputs. Supporting sections below explain the method, example, and common questions so the result is easier to interpret.

How to Use

Step-by-step instructions
  1. 1Select object shape.
  2. 2Enter mass and dimensions.
  3. 3View moment of inertia.

Moment of Inertia

Resistance to rotational acceleration.
I = Σmr²

Variables:

MMass (kg)
rDistance from axis

Example

Solid Disk

Inputs:

Mass:10 kg
Radius:0.5 m

Steps:

  1. 1.I = 0.5 × 10 × 0.5²
  2. 2.I = 1.25 kg·m²
Result:
1.25 kg·m²

Frequently Asked Questions

What affects inertia?

Both mass and how that mass is distributed from the rotation axis.