Convert Gram square millimetres to Kilogram square metres
Convert Gram square millimetres (g·mm²) to Kilogram square metres (kg·m²) instantly and accurately.
Conversion Formula
kg·m² = g·mm² × 1.000000000e-9
About Gram square millimetres
The gram square millimetre (g·mm²) equals 10⁻⁹ kg·m², the natural unit for MEMS gyroscope resonators and micro-fabricated spinning structures. CubeSat reaction wheel rotors range 1-50 g·mm²; chip-scale IMU proof masses sit below 1 g·mm². Watchmaking balance wheels and miniature turbine blades also fall in this range. 1 g·mm² = 10⁻⁹ kg·m² = 0.01 g·cm².
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 millimetres (g·mm²) | Kilogram square metres (kg·m²) |
|---|---|
| 1 g·mm² | 1 × 10-9 kg·m² |
| 2 g·mm² | 2 × 10-9 kg·m² |
| 5 g·mm² | 5 × 10-9 kg·m² |
| 10 g·mm² | 1 × 10-8 kg·m² |
| 25 g·mm² | 2.5 × 10-8 kg·m² |
| 50 g·mm² | 5 × 10-8 kg·m² |
| 100 g·mm² | 1 × 10-7 kg·m² |