Convert Centimetres per second squared to Standard gravity
Convert Centimetres per second squared (cm/s²) to Standard gravity (g₀) instantly and accurately.
Conversion Formula
g₀ = cm/s² × 0.001019716213
About Centimetres per second squared
The centimetre per second squared (cm/s²) is the CGS coherent unit of acceleration, numerically identical to the Gal (1 cm/s² = 1 Gal = 0.01 m/s²). In the CGS system, Newton's second law reads F [dyn] = m [g] × a [cm/s²]. Strong-motion seismology records earthquake accelerograms in cm/s²: the 1940 El Centro earthquake reached a peak ground acceleration of 341 cm/s² ≈ 0.35 g₀. Japan's JMA shindo 7 (structural collapse) threshold is above 400 cm/s². 1 cm/s² = 0.01 m/s² = 1 Gal ≈ 1.02 × 10⁻³ g₀.
About Standard gravity
Standard gravity (g₀) is defined as exactly 9.80665 m/s² by the 3rd CGPM (1901), chosen to approximate surface gravity at ~45.5° latitude. It is the universal reference for human g-tolerance: fighter pilots sustain up to +9 g₀ with G-suit; sustained +3 g₀ causes greyout unprotected; F1 drivers experience +5 g₀ lateral and -4 g₀ braking. Pound-force is defined as 0.45359237 kg × g₀ = 4.44822 N (exact). Rocket specific impulse in seconds = thrust / (mass flow × g₀). 1 g₀ = 9.80665 m/s² = 980.665 Gal ≈ 32.174 ft/s² ≈ 35.304 km/h/s.
Quick Reference Table
| Centimetres per second squared (cm/s²) | Standard gravity (g₀) |
|---|---|
| 1 cm/s² | 0.00101972 g₀ |
| 2 cm/s² | 0.00203943 g₀ |
| 5 cm/s² | 0.00509858 g₀ |
| 10 cm/s² | 0.0101972 g₀ |
| 25 cm/s² | 0.0254929 g₀ |
| 50 cm/s² | 0.0509858 g₀ |
| 100 cm/s² | 0.101972 g₀ |