Authoritative definitions of the International System of Units and SI prefixes.
Unit conversion
Standard gravity to Metres per second squared Converter
1 g₀ = 9.80665 m/s². Enter a value to convert g₀ to m/s², then use the formula and table below. Displayed digits may be rounded.
Speed & accelerationInstant result
Decimals
Formula result = input × 9.80665 ÷ 1. 1 g₀ ≈ 9.8067 m/s²
Nonzero results too small for the selected decimal places use scientific notation.
Nonzero results too small for the selected decimal places use scientific notation.
Common examples
One value, several units
Metres per second squared9.8067 m/s²
Centimetres per second squared980.665 cm/s²
Feet per second squared32.174 ft/s²
Gal980.665 Gal
Conversion table
| g₀ | m/s² |
|---|---|
| 1 g₀ | 9.8067 m/s² |
| 2 g₀ | 19.6133 m/s² |
| 5 g₀ | 49.0332 m/s² |
| 10 g₀ | 98.0665 m/s² |
| 25 g₀ | 245.1663 m/s² |
| 50 g₀ | 490.3325 m/s² |
| 100 g₀ | 980.665 m/s² |
Conversion chart
1 g₀9.8067 m/s²
5 g₀49.0332 m/s²
10 g₀98.0665 m/s²
25 g₀245.1663 m/s²
50 g₀490.3325 m/s²
Worked example
1 g₀ = 9.80665 m/s². Apply the selected conversion formula to other input values.
Unit definition
Standard gravity (g₀) One standard gravity equals 9.80665 metre per second squared.
Unit history
Standard gravity is represented here using its modern SI definition or an internationally accepted relationship to an SI base unit.
Step by step
1. Parse the value, including fractions.
2. Convert g₀ to metre per second squared.
3. Convert the base value to m/s² and apply your display precision.
Understand the result before using it
Standard gravity to Metres per second squared converts a value measured in Standard gravity (g₀) into the equivalent value in Metres per second squared (m/s²). The numerical value changes because the size and definition of the selected unit changes; the underlying quantity does not.
Calculated result
The conversion follows the displayed unit relationship. Display rounding can hide additional digits, and measured inputs cannot become more accurate merely by changing units.
Formula, assumptions, and example
Formula
result = input × 9.80665 ÷ 1
Assumptions
- Standard gravity and Metres per second squared represent the same acceleration quantity.
- The input is expressed in g₀; the output is expressed in m/s².
- The unit definitions and conventional relationship shown on this page apply.
Worked example
1 g₀ = 9.80665 m/s². For another value, apply the same relationship and round only to the precision your source measurement supports.
When to use it
Good uses
- Read a g₀ measurement in a document that expects m/s².
- Compare a standard gravity value with a value reported in metres per second squared.
- Check the g₀ to m/s² arithmetic before copying the result into another calculation.
Limitations
Common mistakes to avoid
- Mach varies with the local speed of sound; this tool uses the representative condition stated beside the converter.
- Round the output to a precision justified by the original measurement.
- Verify safety-critical, regulated, laboratory, and contractual conversions against the controlling standard.
Sources and further reading
These references explain the underlying standards or provide authoritative context. Your own contract, institution, clinician, product documentation, local code, or governing standard may be the controlling source.
Guidance on unit names, symbols, conversions, and numerical presentation.
Questions about this calculation
How do I convert Standard gravity to Metres per second squared?
result = input × 9.80665 ÷ 1. Input is in g₀; result is in m/s². 1 g₀ = 9.80665 m/s². The displayed digits may be rounded.
What is 1 g₀ in m/s²?
1 g₀ = 9.80665 m/s². The displayed digits may be rounded.
Can I reverse the g₀ to m/s² conversion?
Yes. Swap the source and target units in the converter. The reverse relationship converts m/s² back to g₀.
Is the Standard gravity to Metres per second squared result exact?
The conversion follows the displayed unit relationship. Display rounding can hide additional digits, and measured inputs cannot become more accurate merely by changing units.