Moment of Inertia Converter
Convert between kilogram square meters, kilogram square centimeters, pound square feet, ounce square inches and other moment of inertia units.
Convert moment of inertia
Result
Moment of Inertia units
Every unit below converts to every other one in the calculator. Values are relative to the base unit, the kilogram square meter (kg·m²).
| Unit | Symbol | System | Value |
|---|---|---|---|
| Kilogram square meter | kg·m² | SI | Base unit |
| Kilogram square centimeter | kg·cm² | metric | = 0.0001 kg·m² |
| Gram square centimeter | g·cm² | CGS | = 1e-7 kg·m² |
| Pound square foot | lb·ft² | US customary | = 0.0421401100938048 kg·m² |
| Pound square inch | lb·in² | US customary | = 0.0002926396534292 kg·m² |
| Ounce square inch | oz·in² | US customary | = 0.000018289978339325 kg·m² |
| Slug square foot | slug·ft² | US customary | = 1.3558179483314004 kg·m² |
Kilogram square meter quick reference
| Kilogram square meter | Kilogram square centimeter | Pound square foot | Ounce square inch |
|---|---|---|---|
| 1 kg·m² | = 10000 kg·cm² | ≈ 23.7303604 lb·ft² | ≈ 54674.75037 oz·in² |
| 10 kg·m² | = 100000 kg·cm² | ≈ 237.303604 lb·ft² | ≈ 546747.5037 oz·in² |
| 100 kg·m² | = 1000000 kg·cm² | ≈ 2373.03604 lb·ft² | ≈ 5467475.037 oz·in² |
| 1000 kg·m² | = 10000000 kg·cm² | ≈ 23730.3604 lb·ft² | ≈ 54674750.37 oz·in² |
Among the 7 moment of inertia units on this page, the smallest is the gram square centimeter (g·cm²) and the largest is the slug square foot (slug·ft²).
More moment of inertia conversions
About moment of inertia units
Moment of inertia (rotational inertia) measures how hard it is to change an object's rotation. It depends on the mass and how far it sits from the axis. Its SI unit is the kilogram square meter (kg·m²).
One lb·ft² is about 0.042140 kg·m², and one kg·cm² is exactly 0.0001 kg·m². This page covers mass moment of inertia. The area moment of inertia used for beam bending (second moment of area, in m⁴ or in⁴) is a different quantity.
Frequently asked questions
- How do I convert lb·ft² to kg·m²?
- Multiply by about 0.0421401. One kg·m² is about 23.730 lb·ft².
- Is moment of inertia the same as second moment of area?
- No. Mass moment of inertia (kg·m²) describes resistance to rotation. Second moment of area (m⁴) describes a cross-section's resistance to bending. They cannot be converted into each other.
- How many kilogram square centimeters are in one kilogram square meter?
- One kilogram square meter = 10000 kg·cm² (kilogram square centimeters).
- How many pound square feet are in one kilogram square meter?
- One kilogram square meter ≈ 23.7303604 lb·ft² (pound square feet).
- How many ounce square inches are in one kilogram square meter?
- One kilogram square meter ≈ 54674.75037 oz·in² (ounce square inches).