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Acceleration

gtom/s²

Convert standard gravity (g) to metres per second squared (m/s²).

Factor1 g = 9.80665 m/s²

Converter

g

Accepts numbers or expressions, e.g. 150 + 14.7

Result
9.80665m/s²

Rendered to 6 significant figures.

Formula

Formula
m/s² = g × 9.80665

Multiply any value in standard gravity by 9.80665 to obtain the value in metres per second squared.

Worked example

Convert 1 g to m/s².

  1. 01Start with 1 g.
  2. 02Multiply by the conversion factor: 1 × 9.80665 = 9.80665 m/s².
Result1 g = 9.80665 m/s²

Conversion table

gm/s²
19.8066
219.613
549.033
1098.066
20196.13
50490.33
100980.66
2001961.3
5004903.3
10009806.6

Reference values rounded to 5 significant figures for display.

FAQ

What is the conversion factor from g to m/s²?
1 g equals 9.80665 m/s². To convert, multiply the value in standard gravity by 9.80665.
How do I convert 1 g to m/s²?
1 g = 9.80665 m/s². For any value, multiply by 9.80665.
How do I convert m/s² back to g?
Divide by the same factor — or equivalently, multiply by 0.1019716. So 1 m/s² = 0.101972 g.
When would I need to convert standard gravity to metre per second squared?
Acceleration conversions between g and m/s² are common in vibration analysis, seismic load calculations, mechanical equipment specifications, and motion-control design. m/s² is the SI standard; g (standard gravity) is widely used in shock, vibration, and ride-quality work.
Is the conversion exact?
The factor shown is precise to at least 7 significant figures. For most process-engineering work this is far better than instrument accuracy. For metrology or trade applications, refer to the relevant national standard (NIST, BIPM, ISO 80000).

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