Acceleration converter — g-force, m/s², ft/s² and Gal

Enter an acceleration, choose its unit and the one you want, and the converter shows the answer plus the value in all nine units, including g and car-style km/h per second.

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1 standard gravity (g) =9.80665 m/s²

1 standard gravity (g) in every unit

UnitValue
m/s²9.80665
cm/s²980.665
ft/s²32.1740485564
in/s²386.088582677
standard gravity (g)1
gal (Gal, cm/s²)980.665
milligal980,665
km/h per second35.30394
mph per second21.9368512885

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How to use the acceleration converter

  1. Type the acceleration in Value.
  2. Choose the unit in From, for example standard gravity (g).
  3. Choose the unit you want in To, such as m/s² or ft/s².
  4. Read the answer and the table of all nine units. The swap button reverses the direction.

What it does and when to use it

Acceleration is how fast speed changes. Physics and engineering use m/s². American texts use ft/s². Pilots, ride designers and crash testers talk in g. Car magazines describe performance in km/h or mph gained per second. Geophysics uses Gal and milligal for tiny gravity differences. This tool converts between all of these with exact factors.

Typical jobs: turning an accelerometer reading in g into m/s² for a calculation, checking a physics answer given in ft/s², estimating the average g of a car’s acceleration from its 0–100 km/h time, or converting a gravity survey anomaly in mGal into SI. To change the speed units themselves, use the speed converter.

How it works

Every unit is stored in m/s². The result is value × from-factor ÷ to-factor.

Unit m/s² Basis
standard gravity (g) 9.80665 3rd CGPM, 1901
ft/s² 0.3048 international foot
in/s² 0.0254 international inch
cm/s², Gal 0.01 CGS
milligal 0.00001 1/1,000 Gal
km/h per second 1 ÷ 3.6 ≈ 0.277778 1,000 m ÷ 3,600 s
mph per second 0.44704 1,609.344 m ÷ 3,600 s

Every factor is exact, so 1 g = 32.1740485564 ft/s² is a rounded display of an exact ratio (9.80665 ÷ 0.3048).

Worked examples

g to imperial. 1 g = 32.1740485564 ft/s², the “32.2 ft/s²” in American physics books.

Car acceleration. 0–100 km/h in 5 seconds is 20 km/h per second, which is 0.56650900721 standard gravity (g), or 5.55555555556 m/s². This is an average; the real push is stronger at first and weaker near the top.

Gravity surveys. 1 g = 980,665 milligal. A local anomaly of a few milligals is therefore a change of a few millionths of g.

Limits and tips

  • Average versus peak. A single conversion cannot tell you peak g in a crash or on a ride; that needs a time-based measurement.
  • Local gravity is not exactly g. The real value depends on where you are. Use the measured local value if your work needs it.
  • For distance travelled from rest under constant acceleration, s = ½at², work in m/s² and seconds, then change the metres to feet or miles with the length converter.

Frequently asked questions

What is 1 g in m/s²?
Exactly 9.80665 m/s². This "standard gravity" was fixed by international agreement in 1901. Real gravity varies slightly with latitude and height, but g as a unit is always this number.
How do I work out the g-force of a car's 0 to 100 km/h time?
Divide 100 by the time in seconds to get km/h per second, then convert to g. A 5-second run is 20 km/h per second, which the tool shows as about 0.567 g on average.
What is a Gal?
The Gal (or galileo) is the CGS unit of acceleration, 1 cm/s². Geophysicists measure tiny changes in gravity in milligals, where 1 mGal is 0.00001 m/s².
Is g-force the same as weight?
Not quite. g-force describes acceleration as a multiple of standard gravity. A force is mass times acceleration, so multiply your mass in kg by the acceleration in m/s² to get newtons, then use the force converter.
Can I enter a negative acceleration?
Yes. Braking or deceleration is just acceleration with a minus sign, and the sign carries through the conversion.

Sources

  1. NIST Guide to the SI, Appendix B.8: Factors for units listed alphabetically — NIST, accessed 2026-10-08

Written by the ToolsRift team · Last updated

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