Convert Kilogram square metres to Slug square inches
Convert Kilogram square metres (kg·m²) to Slug square inches (slug·in²) instantly and accurately.
Conversion Formula
slug·in² = kg·m² × 106.2089495
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 Slug square inches
The slug square inch (slug·in²) equals ≈9.415 × 10⁻³ kg·m², used in US aerospace guidance and flight mechanics. Pre-metric inertial navigation unit (INU) test reports and NACA stability-derivative tables listed gyroscope platform inertia in slug·in²; US autopilot servo actuator sizing also uses slug·in². 1 slug·in² ≈9.415 × 10⁻³ kg·m² ≈32.17 lb·in².
Quick Reference Table
| Kilogram square metres (kg·m²) | Slug square inches (slug·in²) |
|---|---|
| 1 kg·m² | 106.209 slug·in² |
| 2 kg·m² | 212.418 slug·in² |
| 5 kg·m² | 531.045 slug·in² |
| 10 kg·m² | 1062.09 slug·in² |
| 25 kg·m² | 2655.22 slug·in² |
| 50 kg·m² | 5310.45 slug·in² |
| 100 kg·m² | 10620.9 slug·in² |