Moment of Inertia Converter

Convert mass moment of inertia between kg·m², g·cm², kg·cm², lb·ft², lb·in², and slug·ft².

Convert instantly

Enter a value and choose the units. Your answer updates as you type.

Value

From

Result

10000000 Gram square centimeter (g·cm²)

Quick reference

Kilogram square meter (kg·m²)1 base units
Gram square centimeter (g·cm²)1e-7 base units
Kilogram square centimeter (kg·cm²)0.0001 base units
Pound square foot (lb·ft²)0.0421401101 base units
Pound square inch (lb·in²)0.000292639653 base units
Slug square foot (slug·ft²)1.355817948 base units

About the Moment of Inertia Converter

Mass moment of inertia measures resistance to angular acceleration and depends on both mass and distance from a rotation axis. It is essential for flywheels, robot joints, drivetrain sizing, and structural dynamics. The SI unit is kg·m²; unlike area moment of inertia, this page converts mass-based rotational inertia.

For example, 1 lb·ft² equals approximately 0.0421401 kg·m². Use the Angular Acceleration Converter alongside this result in τ = Iα, or open the Angular Velocity Converter when you need the resulting rotational speed.

Frequently asked questions

What is the SI unit of mass moment of inertia?

The SI unit is kilogram square meter (kg·m²).

Is mass moment of inertia the same as area moment of inertia?

No. Mass moment of inertia describes rotational dynamics; area moment of inertia describes a cross-section's resistance to bending.

What is the relationship between torque and inertia?

For a rigid body rotating about a fixed axis, torque is τ = Iα, where I is mass moment of inertia and α is angular acceleration.

Take this calculation further

Browse the converters calculators collection for more tools in this subject.

For a related calculation, use Power Converter to convert power between watts, kilowatts, megawatts, mechanical horsepower, metric horsepower, and BTU per hour. Alternatively, use Torque & Moment of Force Converter to convert torque and moment of force between newton meters, pound-feet, kilogram-force meters, dyne centimeters, and more.

For the underlying method, read Understanding Torque vs. Moment of Force: What's the Difference?.