Convert Standard gravity to Metres per second squared

Convert Standard gravity (g₀) to Metres per second squared (m/s²) instantly and accurately.

Standard gravity (g₀)
Metres per second squared (m/s²)

Conversion Formula

m/s² = g₀ × 9.80665

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.

About Metres per second squared

The metre per second squared (m/s²) is the SI coherent derived unit of acceleration, defined as Δv/Δt (m/s per s). It makes Newton's second law F = ma dimensionally consistent with the newton (1 N = 1 kg·m/s²). Key reference values: standard gravity g₀ = 9.80665 m/s² (exact); ISS centripetal acceleration ≈ 8.68 m/s²; Falcon 9 max axial load ≈ 49 m/s² (5 g₀); human tolerance limit for sustained acceleration ≈ 30 m/s². All SI engineering and simulation software uses m/s² as the native acceleration unit. 1 m/s² = 100 Gal ≈ 0.102 g₀ ≈ 3.281 ft/s².

Quick Reference Table

Standard gravity (g₀)Metres per second squared (m/s²)
1 g₀9.80665 m/s²
2 g₀19.6133 m/s²
5 g₀49.0332 m/s²
10 g₀98.0665 m/s²
25 g₀245.166 m/s²
50 g₀490.332 m/s²
100 g₀980.665 m/s²

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