Moment of Inertia Converter
Quick answer: Choose a starting unit and a target unit, then enter a value. Common conversions: 1 kg·m² = 10,000,000 g·cm²; 1 kg·m² = 23.73036 lb·ft²; 1 kg·m² = 3,417.172 lb·in². This converter covers 7 moment of inertia units.
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Use the Moment of Inertia Converter
Moment of Inertia formula and what each symbol means
target = value × (factor of starting unit ÷ factor of target unit), where each factor is the unit value in kg·m².
| Symbol | Meaning |
|---|---|
| value | The number you want to convert |
| factor | The unit’s size expressed in the base unit (kg·m²) |
Moment of Inertia examples
kg·m² to g·cm²
10 kg·m² = 100,000,000 g·cm².
kg·m² to lb·ft²
10 kg·m² = 237.3036 lb·ft².
kg·m² to lb·in²
10 kg·m² = 34,171.72 lb·in².
How to calculate Moment of Inertia step by step
- Choose the starting unit and the target unit.
- Enter your value.
- Read the converted value, plus the conversion factor in both directions.
Popular moment of inertia conversions
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How to read your Moment of Inertia result
Mass moment of inertia measures how hard a body is to spin about an axis. For a point mass it is mass times radius squared, so its unit is mass times length squared. The SI unit is kg·m², and 1 lb·ft² is about 0.042140 kg·m².
| UNIT | SYMBOL | EQUALS | VALUE OF 1 KG·M² |
|---|---|---|---|
| Kilogram square meter | kg·m² | 1 kg·m² = 1 kg·m² | 1 kg·m² |
| Gram square centimeter | g·cm² | 1 g·cm² = 1×10⁻⁷ kg·m² | 10,000,000 g·cm² |
| Kilogram square centimeter | kg·cm² | 1 kg·cm² = 0.0001 kg·m² | 10,000 kg·cm² |
| Pound square foot | lb·ft² | 1 lb·ft² = 0.04214011 kg·m² | 23.73036 lb·ft² |
| Pound square inch | lb·in² | 1 lb·in² = 0.00029263965 kg·m² | 3,417.172 lb·in² |
| Ounce square inch | oz·in² | 1 oz·in² = 0.000018289978 kg·m² | 54,674.75 oz·in² |
| Slug square foot | slug·ft² | 1 slug·ft² = 1.3558179 kg·m² | 0.7375621 slug·ft² |
Common mistakes when calculating Moment of Inertia
- Confusing mass moment of inertia (kg·m²) with the area moment of inertia used in beam bending (m⁴).
- Using pounds-force instead of pounds-mass in lb·ft².
- Forgetting to square the length factor: 1 ft² is 0.0929 m², not 0.3048.
Moment of Inertia FAQ
How many kg·m² is 1 lb·ft²?
1 lb·ft² is about 0.0421401 kg·m².
How many kg·m² is 1 g·cm²?
1 g·cm² is exactly 1×10⁻⁷ kg·m².
What is the formula for the moment of inertia of a point mass?
I = m × r², where m is the mass and r is the distance from the axis.
What is the base unit for moment of inertia?
This converter uses kilogram square meter (kg·m²) as the common base unit: every value is first converted to it and then to the target unit.
How do I convert between two moment of inertia units?
Choose the starting and target units, enter the value and read the result. By hand: convert to the base unit with the table, then divide by the target unit factor.
How many gram square centimeters are in 1 kilogram square meter?
1 kg·m² = 10,000,000 g·cm².
How many pound square feet are in 1 kilogram square meter?
1 kg·m² = 23.73036 lb·ft².
How many pound square inches are in 1 kilogram square meter?
1 kg·m² = 3,417.172 lb·in².
Which moment of inertia units does this converter support?
It covers 7 units: kilogram square meter (kg·m²), gram square centimeter (g·cm²), kilogram square centimeter (kg·cm²), pound square foot (lb·ft²), pound square inch (lb·in²), ounce square inch (oz·in²), slug square foot (slug·ft²).
How accurate is the moment of inertia converter?
Results are calculated at full double precision and shown to about 8 significant figures. Round the answer to the precision of your original measurement; a result cannot be more accurate than the number you started with.
More in Moment of Inertia converters
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Method, review and disclaimer
Edited by: Hemant Kumar and Anjita Rai, founders of ToolsVault (SEO and content professional, not a licensed adviser). Method: this tool runs in your browser using the formula shown on this page; the numbers you enter are not sent to our servers. Sources: NIST SP 811, Appendix B.8: conversion factors, BIPM: the International System of Units (SI)