Moment of Inertia / kg·m² → g·cm²
Convert Kilogram square meters to Gram square centimeters
Convert mass moments of inertia used in rotational dynamics. Convert Kilogram square meters (kg·m²) to Gram square centimeters (g·cm²). Find the formula, worked examples, unit definitions, and practical guidance below.
Reverse: Gram square centimeters to Kilogram square meters →
How to convert kilogram square meters to gram square centimeters
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 kg·m², b for the intermediate value in kg·m², and y for the result in g·cm².
g·cm² = kg·m² ÷ 1e-7
Worked examples
10 kg·m² ≈ 100000000 g·cm²
Step 1: (10 × 1) ≈ 10 kg·m².
Step 2: 10 ÷ 1e-7 ≈ 100000000 g·cm².20 kg·m² ≈ 200000000 g·cm²
Step 1: (20 × 1) ≈ 20 kg·m².
Step 2: 20 ÷ 1e-7 ≈ 200000000 g·cm².
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 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.
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.
Definitions and sources
Carry the same physical assumptions into subsequent physics calculations.
Kilogram square meters to gram square centimeters reference table
| Kilogram square meters (kg·m²) | Gram square centimeters (g·cm²) |
|---|---|
| 1 | 10000000 |
| 5 | 50000000 |
| 10 | 100000000 |
| 25 | 250000000 |
| 50 | 500000000 |
| 100 | 1000000000 |
| 1000 | 10000000000 |
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