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Moment of Inertia Converter

Enter a value below to convert between metric, imperial, and standard moment of inertia units.

Convert Moment of Inertia

Enter a value and select the units to convert between kilogram square meters, kilogram square centimeters, and gram square centimeters.

Instant conversion
Result
100,000 kg·cm²
10 kg·m² = 100,000 kg·cm²
10 kg·m² = 100,000 kg·cm² = 100,000,000 g·cm²Get Widget

You can change the units using the dropdowns above or click on a unit button.

Suggested Conversions

Common Moment of Inertia Reference Points

Here are some common moment of inertia values in Kilogram Square Meter (kg·m²), Kilogram Square Centimeter (kg·cm²), and Gram Square Centimeter (g·cm²). Click any preset value or arrow to load it into the converter.

DescriptionKilogram Square Meter (kg·m²)Kilogram Square Centimeter (kg·cm²)Gram Square Centimeter (g·cm²)
1 kilogram square meter unit110,00010,000,000
5 kilogram square meters550,00050,000,000
10 kilogram square meters benchmark10100,000100,000,000
25 kilogram square meters25250,000250,000,000
50 kilogram square meters50500,000500,000,000
100 kilogram square meters reference1001,000,0001.000000e+9

Moment of Inertia Conversion Formulas

Use the following formulas to convert between kilogram square meters, kilogram square centimeters, and gram square centimeters.

Kilogram Square Meters to Kilogram Square Centimeters
kg·cm² = kg·m² × 10,000
Kilogram Square Centimeters to Kilogram Square Meters
kg·m² = kg·cm² × 0.0001
Kilogram Square Meters to Gram Square Centimeters
g·cm² = kg·m² × 10,000,000
Example: Convert 10 Kilogram Square Meters (kg·m²) to Kilogram Square Centimeters (kg·cm²)
1 kg·m² = 10,000 kg·cm²
10 kg·m² × 10,000 = 100,000 kg·cm²

All moment of inertia conversions are anchored to the international SI base unit (Kilogram Square Meter) for full scientific and engineering accuracy.

More Kilogram Square Meter & Kilogram Square Centimeter Conversions

Frequently Asked Questions

1 kilogram square meter (kg·m²) equals 10,000 kilogram square centimeters (kg·cm²). Multiply your kilogram square meter value by 10,000 or enter it in the Moment of Inertia Converter above for instant calculation.

All Moment of Inertia Conversion Calculators (6)

Select any dedicated moment of inertia pair below for worked examples and printable tables

Category Conversion Matrix

Simultaneous comparison of 6 units in this category

Kilogram Square Meter (kg·m²)
1
Kilogram Square Centimeter (kg·cm²)
10,000
Gram Square Centimeter (g·cm²)
10,000,000
Pound Square Foot (lb·ft²)
23.73036
Pound Square Inch (lb·in²)
3,417.1719
Slug Square Foot (slug·ft²)
0.73756

Moment of Inertia Unit Definitions & Symbols

Kilogram Square Meter (kg·m²)

SI

Coherent SI unit of mass moment of inertia.

Kilogram Square Centimeter (kg·cm²)

METRIC

Equal to 0.0001 kg·m².

Gram Square Centimeter (g·cm²)

METRIC

Equal to 10⁻⁷ kg·m².

Pound Square Foot (lb·ft²)

US CUSTOMARY

US customary rotational inertia unit (0.04214 kg·m²).

Pound Square Inch (lb·in²)

US CUSTOMARY

Equal to 2.9264×10⁻⁴ kg·m².

Slug Square Foot (slug·ft²)

US CUSTOMARY

Gravitational imperial moment of inertia unit (1.35582 kg·m²).

References

NIST · BIPM · ISO
  1. [1]
    NIST (NIST HB 133 / SP 811)·Checking the Net Contents of Packaged Goods, Handbook 133 - 2019 Edition & NIST SP 811
    NIST HB 133 Standard
  2. [2]
    BIPM (BIPM SI-9)·The International System of Units (SI Brochure, 9th Edition)
    BIPM SI Brochure
  3. [3]
    NIST SP 811 (NIST SP 811 App. B.9)·NIST Guide to the SI, Appendix B.9: Factors for Units Listed by Kind of Quantity or Field of Science
    NIST SP 811 Appendix B.9
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