Acceleration / ft/s² → g₀
Convert Feet per second squared to Standard gravities
Convert linear acceleration using meters per second squared. Convert Feet per second squared (ft/s²) to Standard gravities (g₀). Find the formula, worked examples, unit definitions, and practical guidance below.
Reverse: Standard gravities to Feet per second squared →
How to convert feet 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 ft/s², b for the intermediate value in m/s², and y for the result in g₀.
g₀ = ft/s² × 0.3048 ÷ 9.80665
Worked examples
10 ft/s² ≈ 0.310809501716 g₀
Step 1: (10 × 0.3048) ≈ 3.048 m/s².
Step 2: 3.048 ÷ 9.80665 ≈ 0.310809501716 g₀.20 ft/s² ≈ 0.621619003431 g₀
Step 1: (20 × 0.3048) ≈ 6.096 m/s².
Step 2: 6.096 ÷ 9.80665 ≈ 0.621619003431 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 Feet per second squared
Feet per second squared (ft/s²) measures acceleration under the conventions above. The base value in m/s² is (x × 0.3048), where x is the numerical value in ft/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.
Feet per second squared to standard gravities reference table
| Feet per second squared (ft/s²) | Standard gravities (g₀) |
|---|---|
| 1 | 0.0310809501716 |
| 5 | 0.155404750858 |
| 10 | 0.310809501716 |
| 25 | 0.777023754289 |
| 50 | 1.55404750858 |
| 100 | 3.10809501716 |
| 1000 | 31.0809501716 |
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