Moment of Inertia / g·cm² → kg·m²
Convert Gram square centimeters to Kilogram square meters
Convert mass moments of inertia used in rotational dynamics. Convert Gram square centimeters (g·cm²) to Kilogram square meters (kg·m²). Find the formula, worked examples, unit definitions, and practical guidance below.
Reverse: Kilogram square meters to Gram square centimeters →
How to convert gram square centimeters to kilogram square meters
These units describe mass moment of inertia (mass times distance squared). Second moment of area uses length to the fourth power and belongs to a different quantity.
Use x for the value in g·cm², b for the intermediate value in kg·m², and y for the result in kg·m².
kg·m² = g·cm² × 1e-7
Worked examples
10 g·cm² ≈ 0.000001 kg·m²
Step 1: (10 × 1e-7) ≈ 0.000001 kg·m².
Step 2: 0.000001 ÷ 1 ≈ 0.000001 kg·m².20 g·cm² ≈ 0.000002 kg·m²
Step 1: (20 × 1e-7) ≈ 0.000002 kg·m².
Step 2: 0.000002 ÷ 1 ≈ 0.000002 kg·m².
Results are rounded to 12 significant digits. Converting units does not increase the precision of the original measurement. Very large or small values outside JavaScript’s finite numeric range are rejected.
About Gram square centimeters
Gram square centimeters (g·cm²) measures moment of inertia under the conventions above. The base value in kg·m² is (x × 1e-7), where x is the numerical value in g·cm². Factors shown here are rounded for display; calculations use the stored factor.
About Kilogram square meters
Kilogram square meters (kg·m²) measures moment of inertia under the conventions above. The base value in kg·m² is (x × 1), where x is the numerical value in kg·m². Factors shown here are rounded for display; calculations use the stored factor.
Definitions and sources
Carry the same physical assumptions into subsequent physics calculations.
Gram square centimeters to kilogram square meters reference table
| Gram square centimeters (g·cm²) | Kilogram square meters (kg·m²) |
|---|---|
| 1 | 1e-7 |
| 5 | 5e-7 |
| 10 | 0.000001 |
| 25 | 0.0000025 |
| 50 | 0.000005 |
| 100 | 0.00001 |
| 1000 | 0.0001 |
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