kg⋅m2\text{kg}{\cdot}\text{m}^{2}

kilogram square meter

Moment of inertiaexact by definition

The kilogram square metre is the SI unit of mass moment of inertia, the rotational analogue of mass. Its factor is 1 by construction and the unit is exact. It measures how strongly a body resists angular acceleration about a given axis, and it depends on the axis chosen as well as on the body.

Watch out: Mass moment of inertia (kg·m²) is a different quantity from the second moment of area (m⁴) used in beam bending, despite both being called "moment of inertia" and both often written II. One involves mass and governs rotational dynamics, the other involves only geometry and governs stiffness. Their units differ, which is the quickest way to tell which one a formula wants.

1 kg⋅m2\text{kg}{\cdot}\text{m}^{2} 1 kg⋅m2\text{kg}{\cdot}\text{m}^{2}

One kilogram square meter in every moment of inertia unit

10,000,000gram square centimeter (g·cm²)
1,000,000kilogram square millimeter (kg·mm²)
54,674.8ounce square inch (oz·in²)
10,000kilogram square centimeter (kg·cm²)
3,417.17pound square inch (lb·in²)
1,000gram square meter (g·m²)
23.7304pound square foot (lb·ft²)
8.85075pound-force inch second squared (lbf·in·s²)
1kilogram square meter (kg·m²)this unit
0.737562slug square foot (slug·ft²)
0.737562pound-force foot second squared (lbf·ft·s²)
0.001tonne square meter (t·m²)