Moment of Inertia Converter

Convert between different moment of inertia units including kilogram square meter and pound square foot.

Result

1 Kilogram Square Meter = 23.730366 Pound Square Foot

Understanding Moment of Inertia Units

Moment of Inertia (also called rotational inertia) is a fundamental property in mechanics that measures an object's resistance to rotational motion. It depends on both the mass distribution and the axis of rotation, represented by the mass times the square of distance from the axis.

SI Metric Units

The base SI unit is kilogram square meter (kg·m²). Other common metric units include kilogram square centimeter (kg·cm²), kilogram square millimeter (kg·mm²), and gram square centimeter (g·cm²) for smaller values.

Imperial Units

Common imperial units include pound square foot (lb·ft²), pound square inch (lb·in²), and slug square foot (slug·ft²). Force-based units like pound-force foot square second are also used in engineering calculations.

Applications

Moment of inertia is essential in mechanical engineering for analyzing rotating systems, structural engineering for beam deflection calculations, automotive design for flywheel and brake systems, and robotics for joint dynamics.

Conversion Factors

Converting between units requires accounting for both mass and distance squared. For example, 1 kg·m² = 23.73036 lb·ft². Our converter handles 14+ unit conversions with precision.

Moment of Inertia Conversion Table

UnitTo kg·m²To lb·ft²
1 kg·m²123.73036
1 kg·cm²0.00010.002373
1 g·cm²0.00000010.00000237
1 lb·ft²0.0421401
1 lb·in²0.0002930.00694
1 slug·ft²1.3558232.174

Common Conversions

1 kg·m² = 23.73036 lb·ft²

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1 kg·m² = 737.562 lb·in²

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1 lb·ft² = 0.042140 kg·m²

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1 kg·cm² = 10000 g·cm²

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1 slug·ft² = 1.35582 kg·m²

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1000 g·cm² = 10 kg·cm²

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1 lbf·ft·s² = 1.35582 kg·m²

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1 oz·in² = 0.00001829 kg·m²

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Frequently Asked Questions