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Moment of Inertia Converter

Convert between moment of inertia units including kg·m², lb·ft², and more. Essential for mechanical engineering and rotational dynamics.

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Common Conversions
Quick access to frequently used conversions
Unit Information

SI Units

International System of Units (SI) measurements

kg·m²
si
Kilogram meter squared
Base unit of moment of inertia in the SI system
g·m²
si
Gram meter squared
Moment of inertia in gram meter squared (0.001 kg·m²)
kg·cm²
si
Kilogram centimeter squared
Moment of inertia in kilogram centimeter squared (0.0001 kg·m²)
g·cm²
si
Gram centimeter squared
Moment of inertia in gram centimeter squared (1 × 10⁻⁷ kg·m²)

Imperial Units

Traditional British and American measurements

lb·ft²
imperial
Pound foot squared
Moment of inertia in pound foot squared (0.0421401 kg·m²)
lb·in²
imperial
Pound inch squared
Moment of inertia in pound inch squared (2.92640 × 10⁻⁴ kg·m²)
slug·ft²
imperial
Slug foot squared
Moment of inertia in slug foot squared (1.35582 kg·m²)
oz·ft²
imperial
Ounce foot squared
Moment of inertia in ounce foot squared (0.00263376 kg·m²)

Specialized Units

Domain-specific measurements

kg·mm²
specialized
Kilogram millimeter squared
Moment of inertia in kilogram millimeter squared (1 × 10⁻⁶ kg·m²)
g·mm²
specialized
Gram millimeter squared
Moment of inertia in gram millimeter squared (1 × 10⁻⁹ kg·m²)
lb·yd²
specialized
Pound yard squared
Moment of inertia in pound yard squared (0.379260 kg·m²)
ton·ft²
specialized
Ton foot squared
Moment of inertia in ton foot squared (42.1401 kg·m²)
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About Moment of Inertia

Moment of inertia (I) is a measure of an object's resistance to changes in its rotational motion. It depends on the mass distribution of the object relative to the axis of rotation and is measured in kg·m² in the SI system.

The SI unit of moment of inertia is kilogram meter squared (kg·m²). Other common units include pound foot squared (lb·ft²), slug foot squared (slug·ft²), and gram centimeter squared (g·cm²).

Common Applications:

  • Mechanical engineering and design
  • Robotics and automation systems
  • Automotive engineering (engine design)
  • Industrial machinery and motor design
  • Physics and engineering education