Acceleration Converter
Convert m/s2 to g, ft/s2, in/s2, Gal and mph/s, and back. 1 g = 9.80665 m/s² = 32.174 ft/s² = 386.09 in/s². Includes a g-force conversion table. How it works
Use the Acceleration Converter
About the Acceleration Converter
1 g = 9.80665 m/s² = 32.174 ft/s² = 386.09 in/s² = 980.665 Gal = 21.94 mph/s. To convert m/s² to g, divide by 9.80665; to convert g to m/s², multiply by 9.80665. Typed without the superscript, the same units are m/s2 or m/s^2, ft/s2 and in/s2. The list also has km/s², mi/s², km/h² and mi/h²: 1 m/s² is 0.001 km/s², 12,960 km/h² and 8,052.97 mi/h².
1 g in other units, and 1 unit in g
| Unit | 1 g equals | 1 unit in g |
|---|---|---|
| m/s² (meters per second squared) | 9.80665 | 0.10197 |
| ft/s² (feet per second squared) | 32.174 | 0.031081 |
| in/s² (inches per second squared) | 386.09 | 0.0025901 |
| Gal (cm/s²) | 980.665 | 0.0010197 |
| mph/s (miles per hour per second) | 21.937 | 0.045585 |
| km/h/s (kilometers per hour per second) | 35.304 | 0.028325 |
| knots/s (knots per second) | 19.063 | 0.052459 |
| km/s² (kilometers per second squared) | 0.0098067 | 101.97 |
| mi/s² (miles per second squared) | 0.0060936 | 164.11 |
| km/h² (kilometers per hour squared) | 127,094 | 0.0000078682 |
| mi/h² (miles per hour squared) | 78,973 | 0.000012663 |
g is standard gravity, defined as exactly 9.80665 m/s². 980.665 Gal is exact too; the other figures are rounded to five significant digits, and km/h² and mi/h² to whole numbers.
g to m/s², ft/s² and mph/s
| g | m/s² | ft/s² | mph/s |
|---|---|---|---|
| 0.5 g | 4.90 | 16.09 | 10.97 |
| 1 g | 9.81 | 32.17 | 21.94 |
| 1.5 g | 14.71 | 48.26 | 32.91 |
| 2 g | 19.61 | 64.35 | 43.87 |
| 3 g | 29.42 | 96.52 | 65.81 |
| 4 g | 39.23 | 128.70 | 87.75 |
| 5 g | 49.03 | 160.87 | 109.68 |
| 6 g | 58.84 | 193.04 | 131.62 |
| 9 g | 88.26 | 289.57 | 197.43 |
| 10 g | 98.07 | 321.74 | 219.37 |
The mph/s column is also the speed gained each second, in mph. At 3 g, speed rises by 65.81 mph every second.
m/s² to g and ft/s²
| m/s² | g | ft/s² |
|---|---|---|
| 1 m/s² | 0.1020 | 3.28 |
| 5 m/s² | 0.5099 | 16.40 |
| 9.8 m/s² | 0.9993 | 32.15 |
| 9.80665 m/s² | 1.0000 | 32.17 |
| 9.81 m/s² | 1.0003 | 32.19 |
| 10 m/s² | 1.0197 | 32.81 |
| 20 m/s² | 2.0394 | 65.62 |
| 40 m/s² | 4.0789 | 131.23 |
| 50 m/s² | 5.0986 | 164.04 |
| 100 m/s² | 10.1972 | 328.08 |
| 500 m/s² | 50.9858 | 1,640.42 |
| 1,000 m/s² | 101.9716 | 3,280.84 |
Supported inputs
- Any pair of these units, in either direction: m/s², g, ft/s², Gal, mph/s, in/s², km/h/s, knots/s, km/s², mi/s², km/h² and mi/h².
- Negative values are converted too, so a deceleration can be entered with a minus sign.
Methodology
Each value is converted to m/s² and then to the target unit, using 1 g = 9.80665 m/s², 1 ft/s² = 0.3048 m/s², 1 in/s² = 0.0254 m/s², 1 Gal = 0.01 m/s², 1 mph/s = 0.44704 m/s², 1 km/h/s = 1,000 ÷ 3,600 m/s², 1 knot/s = 1,852 ÷ 3,600 m/s² (the international nautical mile is 1,852 m), 1 km/s² = 1,000 m/s², 1 mi/s² = 1,609.344 m/s², 1 km/h² = 1,000 ÷ 12,960,000 m/s² and 1 mi/h² = 1,609.344 ÷ 12,960,000 m/s². Every factor is exact, and the display shows up to 10 decimal places. Results smaller than 0.000001 are shown in scientific notation.
How to use this tool
- Type the acceleration under From and choose its unit under From unit.
- Choose the unit you want under To unit. The round button beside the To unit label swaps the two units.
- Or pick a preset, which loads a figure in m/s²: 5.364 (0 to 60 mph in 5 s), 7.85 (hard braking, 0.80 g), 14.71 (about 1.5 g), 88.26 (9 g) or 9.807 (free fall).
Frequently asked questions
- How do I convert m/s² to g?
- Divide by 9.80665. For example, 20 m/s² ÷ 9.80665 = 2.039 g, and 100 m/s² is 10.197 g. 1 cm/s² is 1 Gal, so divide cm/s² by 980.665; for mm/s², divide by 9,806.65.
- How do I convert g to m/s²?
- Multiply by 9.80665. 1 g is 9.80665 m/s², 2 g is 19.61 m/s² and 5 g is 49.03 m/s².
- How do I convert m/s² to km/h² or mi/h²?
- An hour squared is 3,600 × 3,600 = 12,960,000 s², so multiply m/s² by 12,960,000 ÷ 1,000 = 12,960 for km/h², or by 12,960,000 ÷ 1,609.344 = 8,052.97 for mi/h². 1 g is 127,094.184 km/h² and 78,972.66 mi/h².
- Is gravity 9.8, 9.81 or 9.80665 m/s²?
- Standard gravity is defined as exactly 9.80665 m/s², and that is the value this converter uses for g. 9.81 and 9.8 are the same number rounded. Measured gravity at the surface depends on where you are, from about 9.78 m/s² at the equator to about 9.83 m/s² at the poles.
- How fast is 9 g in mph?
- A g-force is an acceleration, not a speed, so it has no single mph value. 1 g adds 21.94 mph every second, which gives the rule: speed gained in mph = g × 21.94 × seconds. Holding 9 g for 1 second adds 197.4 mph, and holding it for 3 seconds adds 592.3 mph.
- Can I convert m/s to g?
- Not directly: m/s is a speed and g is an acceleration. Divide the change in speed by the time it took to get m/s², then divide by 9.80665. Going from 0 to 60 mph (26.82 m/s) in 5 seconds is 5.364 m/s², or 0.547 g.
Related Tools
View all toolsSpeed Converter
Convert speed between mph, km/h, m/s, knots, ft/s and Mach (343 m/s): 60 mph is 96.56064 km/h, 26.8224 m/s and 88 ft/s.
Area Converter
Convert square meters, square feet, acres, hectares, square miles, yards, inches, cm and mm with exact factors. 1 acre is 43,560 square feet.
Data Storage Converter
Convert bytes, KB, MB, GB, TB and bits, with decimal SI units (1 GB = 1,000 MB) kept apart from binary IEC units (1 GiB = 1,024 MiB).
Density Converter
Convert density in kg/m³, g/cm³, g/L, lb/ft³, lb/in³, lb/gal and ton/yd³: 1 g/cm³ is 1000 kg/m³, 62.428 lb/ft³ and 8.3454 lb per US gallon.
Energy Converter
Convert J, kJ, cal, kcal, Wh, kWh, MWh, BTU, therms, ft·lbf, erg and eV either way: 1 kWh = 3.6 MJ = 860.42 kcal = 3412.14 BTU = 0.0341 therm.
Frequency Converter
Frequency converter for Hz, kHz, MHz, GHz, THz, RPM, BPM, and more, with wavelength, period, musical note, and EM-band readouts.