The Acceleration Converter converts acceleration units such as metres per second squared (m/s²), feet per second squared (ft/s²), and multiples of standard gravity (g). Enter an acceleration already expressed in one unit and read the others with the factor line and substituted steps.
Physics acceleration solvers find acceleration from force and mass or from velocity and time. The Acceleration Converter does not solve those equations. It only relabels a known acceleration using factors such as standard gravity g0 = 9.80665 m/s².
Convert between units of acceleration
The Acceleration Converter routes every unit through SI acceleration in metres per second squared, then formats the selected target. Engineering notes often use m/s². US customary reports may use ft/s². Vehicle, aircraft, and amusement-ride contexts often quote acceleration in g.
Pick source and target units, enter the number, and results update live. Cascade mode can show m/s², ft/s², and g together so one accelerometer reading compares across lab and operational labels without re-entry.
One foot per second squared equals 0.3048 m/s² exactly, because the international foot is 0.3048 metres and the time unit is the same second in both expressions. Converting 32.17405 ft/s² therefore lands on about 9.80665 m/s², matching standard gravity when that customary figure is used.
m/s² = ft/s² × 0.3048
ft/s² = m/s² ÷ 0.3048Worked length-unit case: convert 10 m/s² to ft/s².
1. Divide by 0.3048. 10 ÷ 0.3048 ≈ 32.8084 ft/s².
The Acceleration Converter shows that division under the result so the foot factor stays visible beside g conversions on the same tool.
Convert m/s² to g
Standard gravity g0 is defined as 9.80665 m/s² for conversion between SI acceleration and dimensionless g multiples. Acceleration in g equals acceleration in m/s² divided by 9.80665. Acceleration in m/s² equals g multiplied by 9.80665.
g = (m/s²) ÷ 9.80665
m/s² = g × 9.80665Worked example: convert 19.6133 m/s² to g.
1. Divide by standard gravity. 19.6133 ÷ 9.80665 = 2 g exactly (within ordinary rounding).
2. Reverse check. 2 × 9.80665 = 19.6133 m/s².
Another common case: 1 g = 9.80665 m/s² ≈ 32.17405 ft/s². A reading of 0.5 g is 4.903325 m/s². The Acceleration Converter uses 9.80665 consistently so mixed SI and g reports stay aligned with the ISO standard gravity value rather than a rounded 9.81 shortcut, unless display rounding shortens the printed digits.
Local gravitational acceleration varies slightly with latitude and altitude. Converting "g" as a unit multiple still uses the fixed standard 9.80665 m/s² on this page. Measuring true local g is a separate metrology task; the Acceleration Converter treats g as the standard conversion constant.
Vehicle and ride data often quote peak acceleration in g while lab logs stay in m/s². Converting 3.5 g yields 3.5 × 9.80665 = 34.323275 m/s², or about 112.61 ft/s² after dividing by 0.3048. Keeping both figures on the same panel avoids rewriting a test report when one stakeholder uses SI and another uses g.
Rounded teaching values such as 9.81 m/s² or 32.2 ft/s² are fine for rough checks. Certification paperwork should still cite 9.80665 when the standard gravity definition is required. The Acceleration Converter defaults to that precise constant and only shortens digits in the display layer.
| Acceleration | m/s² | g (approx.) |
|---|---|---|
| 1 m/s² | 1 | 0.102 |
| 9.80665 m/s² | 9.80665 | 1 |
| 19.6133 m/s² | 19.6133 | 2 |
| 32.17405 ft/s² | 9.80665 | 1 |
FAQ
How do I convert m/s² to g?
To convert metres per second squared to g, divide by 9.80665. For example, 9.80665 m/s² ÷ 9.80665 = 1 g. The Acceleration Converter divides by standard gravity and shows the working.
How do I convert g to m/s²?
To convert g to metres per second squared, multiply by 9.80665. For example, 1.5 g × 9.80665 = 14.709975 m/s². The Acceleration Converter multiplies by that standard gravity factor.
What value of g does the Acceleration Converter use?
The Acceleration Converter uses standard gravity 9.80665 m/s². That is the conventional conversion constant for expressing acceleration in g, not a live measurement of local gravity at a specific location.
How do I convert m/s² to ft/s²?
To convert m/s² to ft/s², divide by 0.3048. For example, 10 m/s² ÷ 0.3048 ≈ 32.8084 ft/s². The Acceleration Converter applies that exact foot-length factor.
Is 1 g always 9.81 m/s²?
Rounded teaching text often writes 9.81 m/s². The Acceleration Converter uses the more precise standard value 9.80665 m/s². Display rounding may show fewer digits, but the underlying factor remains 9.80665.
Is this the same as the physics acceleration calculator?
No. A physics acceleration solver finds acceleration from other quantities such as force and mass or change in velocity over time. The Acceleration Converter only converts a known acceleration between units such as m/s² and g.
How many ft/s² equal 1 g?
One standard g equals 9.80665 m/s², which is 9.80665 ÷ 0.3048 ≈ 32.17405 ft/s². The Acceleration Converter returns that figure when converting 1 g to feet per second squared.
Can I convert cm/s²?
If centimetres per second squared appear in the unit list, the Acceleration Converter scales through metres (100 cm = 1 m) before applying other factors. Otherwise convert cm/s² to m/s² by dividing by 100, then use the page for g or ft/s².
Summary
The Acceleration Converter converts m/s², ft/s², and g using exact length factors and standard gravity 9.80665 m/s². Dividing m/s² by 9.80665 yields g; multiplying g by 9.80665 yields m/s². Foot-based units use 0.3048 metres per foot.
The page is a unit converter only; kinematics or F=ma acceleration problems belong on physics solver tools, with this converter used afterward if unit labels must change.