Convert Standard gravity to Millimetres per second squared

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

Standard gravity (g₀)
Millimetres per second squared (mm/s²)

Conversion Formula

mm/s² = g₀ × 9806.65

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 Millimetres per second squared

The millimetre per second squared (mm/s²) equals 10⁻³ m/s², the standard unit for vibration acceleration in machine condition monitoring. ISO 10816 and ISO 20816 define machinery vibration limits in mm/s and mm/s²; ISO 10816-3 Zone A boundary for industrial machinery is ≈32 mm/s² at 2.2 Hz. Seismically, MMI VI ground shaking (masonry damage threshold) corresponds to 620-1250 mm/s² peak ground acceleration. 1 mm/s² = 10⁻³ m/s² ≈ 1.02 × 10⁻⁴ g₀.

Quick Reference Table

Standard gravity (g₀)Millimetres per second squared (mm/s²)
1 g₀9806.65 mm/s²
2 g₀19613.3 mm/s²
5 g₀49033.3 mm/s²
10 g₀98066.5 mm/s²
25 g₀245166 mm/s²
50 g₀490333 mm/s²
100 g₀980665 mm/s²

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