Convert Gram square centimetres to Kilogram square metres
Convert Gram square centimetres (g·cm²) to Kilogram square metres (kg·m²) instantly and accurately.
Conversion Formula
kg·m² = g·cm² × 1.000000000e-7
About Gram square centimetres
The gram square centimetre (g·cm²) equals 10⁻⁷ kg·m², the dominant unit in small electric motor and servo motor catalogues. Maxon RE-series micromotors list rotor inertia from 0.1-10 g·cm²; stepper motors for 3D printers range 50-500 g·cm². Clockmaking and watch-movement analysis use g·cm² for balance-wheel inertia calculations. 1 g·cm² = 10⁻⁷ kg·m² = 0.01 kg·mm².
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.
Quick Reference Table
| Gram square centimetres (g·cm²) | Kilogram square metres (kg·m²) |
|---|---|
| 1 g·cm² | 1 × 10-7 kg·m² |
| 2 g·cm² | 2 × 10-7 kg·m² |
| 5 g·cm² | 5 × 10-7 kg·m² |
| 10 g·cm² | 1 × 10-6 kg·m² |
| 25 g·cm² | 2.5 × 10-6 kg·m² |
| 50 g·cm² | 5 × 10-6 kg·m² |
| 100 g·cm² | 1 × 10-5 kg·m² |