Acceleration / g₀ → m/s²
Convert Standard gravities to Meters per second squared
Convert linear acceleration using meters per second squared. Convert Standard gravities (g₀) to Meters per second squared (m/s²). Find the formula, worked examples, unit definitions, and practical guidance below.
Reverse: Meters per second squared to Standard gravities →
How to convert standard gravities to meters per second squared
Standard gravity is exactly 9.80665 m/s². It is a conventional reference, not a claim about gravity at every location. The Gal equals one centimeter per second squared.
Use x for the value in g₀, b for the intermediate value in m/s², and y for the result in m/s².
m/s² = g₀ × 9.80665
Worked examples
10 g₀ ≈ 98.0665 m/s²
Step 1: (10 × 9.80665) ≈ 98.0665 m/s².
Step 2: 98.0665 ÷ 1 ≈ 98.0665 m/s².20 g₀ ≈ 196.133 m/s²
Step 1: (20 × 9.80665) ≈ 196.133 m/s².
Step 2: 196.133 ÷ 1 ≈ 196.133 m/s².
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 Standard gravities
Standard gravities (g₀) measures acceleration under the conventions above. The base value in m/s² is (x × 9.80665), where x is the numerical value in g₀. Factors shown here are rounded for display; calculations use the stored factor.
About Meters per second squared
Meters per second squared (m/s²) measures acceleration under the conventions above. The base value in m/s² is (x × 1), where x is the numerical value in m/s². Factors shown here are rounded for display; calculations use the stored factor.
Definitions and sources
Carry the same physical assumptions into subsequent physics calculations.
Standard gravities to meters per second squared reference table
| Standard gravities (g₀) | Meters per second squared (m/s²) |
|---|---|
| 1 | 9.80665 |
| 5 | 49.03325 |
| 10 | 98.0665 |
| 25 | 245.16625 |
| 50 | 490.3325 |
| 100 | 980.665 |
| 1000 | 9806.65 |
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