Convert Kilogram square metres to Pound square inches
Convert Kilogram square metres (kg·m²) to Pound square inches (lb·in²) instantly and accurately.
Conversion Formula
lb·in² = kg·m² × 3417.171898
About Kilogram square metres
The kilogram square metre (kg·m²) is the SI coherent derived unit of moment of inertia. It defines the rotational analogue of mass in Newton's second law: τ = Iα (torque in N·m, angular acceleration in rad/s²). A solid disc of 10 kg and 0.5 m radius has I = 1.25 kg·m². Electric motor rotors: 0.001-10 kg·m². Wind turbine rotors: 10⁶-10⁸ kg·m². 1 kg·m² = 10 000 kg·cm² ≈0.7376 slug·ft².
About Pound square inches
The pound square inch (lb·in²) equals ≈2.926 × 10⁻⁴ kg·m², the standard US customary unit for motor and machinery rotors. Rockwell Automation, Parker Hannifin, and Allied Motion servo sizing catalogs express rotor inertia in lb·in²; US machine-tool spindle and conveyor drive specifications use lb·in². High-speed spindle rotors: 5-50 lb·in². 1 lb·in² ≈2.926 × 10⁻⁴ kg·m² = 1/144 lb·ft².
Quick Reference Table
| Kilogram square metres (kg·m²) | Pound square inches (lb·in²) |
|---|---|
| 1 kg·m² | 3417.17 lb·in² |
| 2 kg·m² | 6834.34 lb·in² |
| 5 kg·m² | 17085.9 lb·in² |
| 10 kg·m² | 34171.7 lb·in² |
| 25 kg·m² | 85429.3 lb·in² |
| 50 kg·m² | 170859 lb·in² |
| 100 kg·m² | 341717 lb·in² |