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Acceleration Converter

Our free other converter handles acceleration conversions. See tables, ratios, and examples for quick reference. Get results you can export or share.

Reviewed by Manoj Kumar, Mathematics Educator

Reviewed by Manoj Kumar, Mathematics Educator

Formula

Converted = Value x (From Factor in m/s2) / (To Factor in m/s2)

Each acceleration unit has a defined conversion factor to the SI unit m/s2. To convert, multiply the input by its m/s2 factor, then divide by the target unit m/s2 factor. Key conversions: 1 g = 9.80665 m/s2, 1 ft/s2 = 0.3048 m/s2, 1 Gal = 0.01 m/s2, 1 km/h/s = 0.2778 m/s2.

Worked Examples

Example 1: Car Acceleration in g-force

Problem:A sports car accelerates from 0 to 100 km/h in 3.5 seconds. What is the acceleration in g?

Solution:Acceleration = 100 km/h / 3.5 s = 28.571 km/h/s\nIn m/s2 = 28.571 / 3.6 = 7.937 m/s2\nIn g = 7.937 / 9.807 = 0.809 g

Result:0.809 g or 7.937 m/s2 (26.03 ft/s2)

Example 2: Converting Gal to Standard Gravity

Problem:A gravimeter reads 980,620 milligals. Express this in standard gravity units.

Solution:Milligals to Gal = 980,620 / 1000 = 980.620 Gal\nTo m/s2 = 980.620 x 0.01 = 9.8062 m/s2\nTo g = 9.8062 / 9.80665 = 0.99995 g

Result:980,620 mGal = 9.8062 m/s2 = 0.99995 g

Frequently Asked Questions

What is the standard acceleration due to gravity (g)?

Standard gravity (g) is defined as exactly 9.80665 m/s2 by international agreement. This value represents the average gravitational acceleration at sea level at a latitude of about 45 degrees. Actual gravitational acceleration varies from about 9.764 m/s2 at the equator to 9.832 m/s2 at the poles due to Earth's rotation and oblate shape. The g-force unit is widely used in aviation, automotive engineering, and amusement park design to express accelerations relative to this standard.

How do you convert between different acceleration units?

All acceleration units express the rate of change of velocity over time. To convert between them, first express the input in the SI base unit of m/s2 by multiplying by the appropriate factor, then divide by the target unit factor. For example, 1 g = 9.80665 m/s2 = 32.174 ft/s2 = 980.665 Gal. Practical units like km/h/s and mph/s are common in automotive contexts: 0-100 km/h in 5 seconds means 20 km/h/s or about 5.556 m/s2 (0.567 g).

References

Reviewed by Manoj Kumar, Mathematics Educator · Editorial policy