Acceleration / m/s² → g₀
Convert Meters per second squared to Standard gravities
Convert linear acceleration using meters per second squared. Convert Meters per second squared (m/s²) to Standard gravities (g₀). Find the formula, worked examples, unit definitions, and practical guidance below.
Reverse: Standard gravities to Meters per second squared →
How to convert meters per second squared to standard gravities
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 m/s², b for the intermediate value in m/s², and y for the result in g₀.
g₀ = m/s² ÷ 9.80665
Worked examples
10 m/s² ≈ 1.01971621298 g₀
Step 1: (10 × 1) ≈ 10 m/s².
Step 2: 10 ÷ 9.80665 ≈ 1.01971621298 g₀.20 m/s² ≈ 2.03943242596 g₀
Step 1: (20 × 1) ≈ 20 m/s².
Step 2: 20 ÷ 9.80665 ≈ 2.03943242596 g₀.
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 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.
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.
Definitions and sources
Carry the same physical assumptions into subsequent physics calculations.
Meters per second squared to standard gravities reference table
| Meters per second squared (m/s²) | Standard gravities (g₀) |
|---|---|
| 1 | 0.101971621298 |
| 5 | 0.509858106489 |
| 10 | 1.01971621298 |
| 25 | 2.54929053244 |
| 50 | 5.09858106489 |
| 100 | 10.1971621298 |
| 1000 | 101.971621298 |
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