Moment of inertia converter

Type a mass moment of inertia, choose the units, and see it in every common unit. Useful for motors, flywheels, servo sizing and wheels.

1 lb·ft² =0.04214011 kg·m²
Kilogram square metres0.04214011 kg·m²
Kilogram square centimetres421.40110094 kg·cm²
Gram square centimetres421,401.10093805 g·cm²
Pound square inches144 lb·in²

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How to use it

  1. Type a number. A dot or a comma works as the decimal separator.
  2. Choose the unit you have and the unit you need.
  3. The table shows the same value in all common units at once.

Conversion factors

Every unit is converted through kg·m², using 1 lb = 0.45359237 kg, 1 ft = 0.3048 m and 1 in = 0.0254 m.

Unit In kg·m²
1 g·cm² 10⁻⁷
1 kg·cm² 10⁻⁴
1 lb·in² ≈ 0.000292640
1 lb·ft² ≈ 0.0421401
1 slug·ft² ≈ 1.355818

Worked example

A flywheel with I = 1 lb·ft² has 0.45359237 × 0.3048² ≈ 0.04214 kg·m², which is about 421,401 g·cm² or 144 lb·in².

Quick reference

  • Rotational kinetic energy: E = ½ I ω²
  • Torque and angular acceleration: τ = I α
  • 1 kg·m² = 10,000 kg·cm² = 10⁷ g·cm²

Frequently asked questions

How do I convert g·cm² to kg·m²?

Multiply by 10⁻⁷. 1 g is 0.001 kg and 1 cm² is 0.0001 m², so 1 g·cm² = 10⁻⁷ kg·m². A rotor of 2,500 g·cm² is 0.00025 kg·m².

Is lb·ft² a mass or a force unit?

Mass. It is pounds-mass times feet squared. Engineering tables sometimes write it as lbm·ft²; do not mix it up with lbf·ft·s², which is the slug·ft².

How many lb·in² are in a lb·ft²?

144, because a foot is 12 inches and the length is squared.

What is the difference between mass moment and area moment of inertia?

Mass moment of inertia (kg·m²) tells how hard it is to change a body's rotation. Area moment (m⁴) describes the bending stiffness of a cross-section. This tool converts the mass moment.

More in Unit converters

All tools in this category: Unit converters ·Updated November 3, 2026

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