Moment of Inertia Converter
Moment of inertia is rotational mass — how hard it is to change an object's spin. The SI unit is the kilogram square meter. Flywheel, motor, and driveline data sheets use kg·m² in metric practice and lb·ft² or slug·ft² in US practice; note that lb·ft² and slug·ft² differ by a factor of about 32.2.
16 units supported Base unit kilogram square meter (kg·m²)
Multiply the number of kilogram square meters by 23.7303604042 to get pound square feet. How this is calculated
About moment of inertia conversion
Moment of Inertia conversion is commonly needed when flywheels, servo sizing, driveline design, and robotics. Pound square feet and slug square feet look similar but differ by a factor of about 32.2 — mixing them up is a classic sizing error.
Popular conversions
Convert Kilogram Square Meter to other moment of inertia units
1 kg·m² expressed in every other moment of inertia unit on this site.
- Kilogram Square Meter kg·m² 1
- Kilogram Square Centimeter kg·cm² 10,000
- Kilogram Square Millimeter kg·mm² 1,000,000
- Gram Square Meter g·m² 1,000
- Gram Square Centimeter g·cm² 10,000,000
- Gram Square Millimeter g·mm² 1,000,000,000
- Kilogram-force Meter Second² kgf·m·s² 0.10197162
- Pound Square Foot lb·ft² 23.73036
- Pound Square Inch lb·in² 3,417.1719
- Ounce Square Inch oz·in² 54,674.75
- Slug Square Foot slug·ft² 0.73756215
- Slug Square Inch slug·in² 106.20895
- Kilogram-force Centimeter Square Second kgf·cm·s² 10.197162
- Pound-force Inch Square Second lbf·in·s² 8.8507458
- Pound-force Foot Second² lbf·ft·s² 0.73756215
- Ounce-force Inch Second² ozf·in·s² 141.61193
Complete list of moment of inertia units
All 16 units this converter supports, each stated against the kilogram square meter (kg·m²).
| Unit | Symbol | System | In kilogram square meters | Conversions |
|---|---|---|---|---|
| Kilogram Square Meter | kg·m² | SI | base unit (kg·m²) | kg·m² to lb·ft² |
| Kilogram Square Centimeter | kg·cm² | SI | 1 kg·cm² = 0.0001 kg·m² | — |
| Kilogram Square Millimeter | kg·mm² | SI | 1 kg·mm² = 0.000001 kg·m² | — |
| Gram Square Meter | g·m² | Metric | 1 g·m² = 0.001 kg·m² | — |
| Gram Square Centimeter | g·cm² | Metric | 1 g·cm² = 1e-7 kg·m² | — |
| Gram Square Millimeter | g·mm² | Metric | 1 g·mm² = 1e-9 kg·m² | — |
| Kilogram-force Meter Second² | kgf·m·s² | Metric | 1 kgf·m·s² = 9.80665 kg·m² | — |
| Pound Square Foot | lb·ft² | Imperial | 1 lb·ft² = 0.0421401100938 kg·m² | lb·ft² to kg·m² |
| Pound Square Inch | lb·in² | Imperial | 1 lb·in² = 0.000292639653429 kg·m² | — |
| Ounce Square Inch | oz·in² | Imperial | 1 oz·in² = 0.0000182899783393 kg·m² | — |
| Slug Square Foot | slug·ft² | US | 1 slug·ft² = 1.35581794833 kg·m² | — |
| Slug Square Inch | slug·in² | US | 1 slug·in² = 0.00941540241896 kg·m² | — |
| Kilogram-force Centimeter Square Second | kgf·cm·s² | Metric | 1 kgf·cm·s² = 0.0980665 kg·m² | — |
| Pound-force Inch Square Second | lbf·in·s² | US | 1 lbf·in·s² = 0.112984829028 kg·m² | — |
| Pound-force Foot Second² | lbf·ft·s² | US | 1 lbf·ft·s² = 1.35581794833 kg·m² | — |
| Ounce-force Inch Second² | ozf·in·s² | US | 1 ozf·in·s² = 0.0070615518 kg·m² | — |
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Frequently asked questions
What is the base unit for moment of inertia?
Moment of Inertia conversions on this site are calculated against the kilogram square meter (kg·m²).
Which moment of inertia units can I convert?
You can convert between 16 units, including kilogram square meter, kilogram square centimeter, kilogram square millimeter, gram square meter, and more.
Where is moment of inertia conversion useful?
It is commonly needed when flywheels, servo sizing, driveline design, and robotics.
Does this converter mix measurement systems?
The converter supports SI, Metric, Imperial, US units and keeps their exact definitions separate so results stay accurate.
Related categories
Conversion factors are based on internationally agreed unit definitions. See our methodology and sources for details on how these values are verified.