Acceleration Converter

About Acceleration Converter

Acceleration conversion: 1 g = 9.81 m/s². Free fall acceleration on Earth is approximately 1 g.

How to use this calculator

1. Enter the acceleration value you want to convert.
2. Choose the starting unit and the target unit.
3. Check the result, which uses the exact relationship \(1\,\text{g} = 9.80665\,\text{m/s}^2\).
4. If needed, use the result to compare motion, forces, or safety limits in the new unit.

The formula explained

This conversion is based on the standard gravity reference, where \(1\,\text{g} = 9.80665\,\text{m/s}^2\). To convert, multiply when going from \(g\) to \(\text{m/s}^2\), and divide when going from \(\text{m/s}^2\) to \(g\).

• g = the standard acceleration due to gravity, equal to \(9.80665\,\text{m/s}^2\)
• a = acceleration value you want to convert
• \(\text{m/s}^2\) = meters per second squared, a common metric unit of acceleration

Step by step method

1. Write the starting value and unit, for example \(2.5\,\text{g}\) or \(19.6\,\text{m/s}^2\).
2. Use the conversion factor \(1\,\text{g} = 9.80665\,\text{m/s}^2\) to set up the calculation.
3. Multiply or divide so the original unit cancels out.
4. State the result with the target unit and, if useful, round to a sensible number of decimals.

Worked example

Problem. Convert \(2.5\,\text{g}\) to \(\text{m/s}^2\).

1. Use \(1\,\text{g} = 9.80665\,\text{m/s}^2\).
2. Compute \(2.5 \times 9.80665 = 24.516625\).
3. So \(2.5\,\text{g} = 24.516625\,\text{m/s}^2\).

Tips and common mistakes

• Make sure you are converting acceleration, not speed, because \(\text{m/s}^2\) means meters per second squared.
• If you convert from \(\text{m/s}^2\) to \(g\), divide by \(9.80665\), do not multiply.

Frequently asked questions