Convert Gram Square Centimeter to Kilogram Square Meter
Live bidirectional calculator for Grams Square Centimeter (g·cm²) and Kilograms Square Meter (kg·m²) with verified formula and conversion charts.
Moment of Inertia4 units
How the Calculation Works (Linear Scaling)
Since 1 Kilogram Square Meter = 10000000 Grams Square Centimeter, divide the value in Grams Square Centimeter by 10000000.
Gram Square Centimeter to Kilogram Square Meter Conversion Table
Precomputed values for quick reference and printing.
| Gram Square Centimeter | Kilogram Square Meter |
|---|---|
| 1 g·cm² | 1e-7 kg·m² |
| 2 g·cm² | 2e-7 kg·m² |
| 3 g·cm² | 3e-7 kg·m² |
| 4 g·cm² | 4e-7 kg·m² |
| 5 g·cm² | 5e-7 kg·m² |
| 6 g·cm² | 6e-7 kg·m² |
| 7 g·cm² | 7e-7 kg·m² |
| 8 g·cm² | 8e-7 kg·m² |
| 9 g·cm² | 9e-7 kg·m² |
| 10 g·cm² | 1e-6 kg·m² |
| 15 g·cm² | 1.5e-6 kg·m² |
| 20 g·cm² | 2e-6 kg·m² |
| 25 g·cm² | 2.5e-6 kg·m² |
| 30 g·cm² | 3e-6 kg·m² |
| 40 g·cm² | 4e-6 kg·m² |
| 50 g·cm² | 5e-6 kg·m² |
| 75 g·cm² | 7.5e-6 kg·m² |
| 100 g·cm² | 1e-5 kg·m² |
| Kilogram Square Meter | Gram Square Centimeter |
|---|---|
| 1 kg·m² | 10000000 g·cm² |
| 2 kg·m² | 20000000 g·cm² |
| 3 kg·m² | 30000000 g·cm² |
| 4 kg·m² | 40000000 g·cm² |
| 5 kg·m² | 50000000 g·cm² |
| 6 kg·m² | 60000000 g·cm² |
| 7 kg·m² | 70000000 g·cm² |
| 8 kg·m² | 80000000 g·cm² |
| 9 kg·m² | 90000000 g·cm² |
| 10 kg·m² | 100000000 g·cm² |
| 15 kg·m² | 150000000 g·cm² |
| 20 kg·m² | 200000000 g·cm² |
| 25 kg·m² | 250000000 g·cm² |
| 30 kg·m² | 300000000 g·cm² |
| 40 kg·m² | 400000000 g·cm² |
| 50 kg·m² | 500000000 g·cm² |
| 75 kg·m² | 750000000 g·cm² |
| 100 kg·m² | 1000000000 g·cm² |
📌 Standard Benchmark Reference Values
Exact CGS to SI moment of inertia definition (10⁻³ kg × 10⁻⁴ m²).
Exact RatioAbout Gram Square Centimeter (g·cm²)
The CGS unit of mass moment of inertia equal to exactly 10⁻⁷ kg·m².
History: Traditional CGS rotational inertia measure for small precision instruments.
Common Uses: Watch balance wheels, optical galvanometers, miniature stepper motor rotors.
About Kilogram Square Meter (kg·m²)
The SI coherent derived unit of mass moment of inertia, representing the rotational inertia of a mass of one kilogram located at a distance of one meter from the rotation axis.
History: Fundamental metric rotational mass unit established under Newton-Euler rotational dynamics.
Common Uses: Automotive flywheel sizing, aerospace satellite attitude momentum wheels, robotics arm payload inertia.
❓ Frequently Asked Questions
How many Kilograms Square Meter are in 1 Gram Square Centimeter?
There are exactly 1e-7 Kilograms Square Meter in 1 Gram Square Centimeter (1 g·cm² = 1e-7 kg·m²).
What is the formula to convert Gram Square Centimeter to Kilogram Square Meter?
The formula is: Kilogram Square Meter = Gram Square Centimeter / 10000000. Since 1 Kilogram Square Meter = 10000000 Grams Square Centimeter, divide the value in Grams Square Centimeter by 10000000.
How do I convert 1 g·cm² to kg·m² manually?
To convert 1 g·cm² to kg·m²: apply the formula Kilogram Square Meter = Gram Square Centimeter / 10000000. Substituting gives: 1 / 10000000 = 1e-7 kg·m².