Acceleration Conversion Calculator
Convert between meters per second squared, feet per second squared, g-force, and more
Safety Note: High acceleration values can be dangerous to humans. Consult safety guidelines before subjecting yourself or others to high acceleration environments.
Tip: 1 standard gravity (g) = 9.80665 m/s² = 32.1740 ft/s²
Conversion Result
1g = 9.80665m/s²
Conversion Factor: 1 g = 9.80665 m/s²
Understanding Acceleration Units
Common Units
- m/s²: Meters per second squared (SI unit)
- ft/s²: Feet per second squared (US customary)
- g: Standard gravity (9.80665 m/s²)
- Gal: Centimeter per second squared (used in geodesy)
Real-World Examples
- Free fall on Earth: ~1 g (9.8 m/s²)
- Formula 1 braking: ~5 g
- Space shuttle launch: ~3 g
- Roller coaster: 3-6 g
Acceleration Conversion Table
Unit | m/s² | ft/s² | g | Gal |
---|---|---|---|---|
1 m/s² | 1 | 3.28084 | 0.101972 | 100 |
1 ft/s² | 0.3048 | 1 | 0.031081 | 30.48 |
1 g | 9.80665 | 32.1740 | 1 | 980.665 |
1 Gal | 0.01 | 0.032808 | 0.00101972 | 1 |
Note: Standard gravity (g) varies slightly by location on Earth. The standard value of 9.80665 m/s² is an average for sea level at 45° latitude.
Frequently Asked Questions
What is the difference between acceleration and g-force?
Acceleration is the rate of change of velocity (measured in units like m/s²), while g-force is a measurement of acceleration relative to Earth's gravity. 1 g equals the acceleration due to gravity at Earth's surface (9.80665 m/s²).
How do you convert g-force to m/s²?
Multiply the g-force value by 9.80665. For example, 2 g = 2 × 9.80665 = 19.6133 m/s².
What is a Gal unit used for?
The Gal (Galileo) is used in geophysics and seismology to measure small accelerations, especially Earth's gravitational variations (1 Gal = 1 cm/s²). Gravity on Earth varies about 0.5% (from 979 to 983 Gal).
How much g-force can humans tolerate?
Untrained humans can tolerate about 5 g briefly. Fighter pilots with special suits can handle 9 g for short periods. The record is 46.2 g for 1 second. Sustained g-forces above 10 g can be fatal.
Why are there different acceleration units?
Different fields use different units: scientists prefer m/s² (SI), engineers often use g-force, US aviation uses ft/s², and geophysicists use Gal. Each unit is convenient for specific applications.
Practical Applications of Acceleration Conversion
Aerospace Engineering
Converting between g-forces and m/s² is essential for spacecraft design, calculating launch forces, and determining astronaut safety limits during acceleration phases.
Automotive Testing
Vehicle acceleration performance is often measured in both m/s² (for international standards) and g-force (for consumer understanding).
Earthquake Measurement
Seismologists use Gal units to measure ground acceleration during earthquakes, which is then converted to g-force for structural engineering analysis.
Amusement Park Safety
Roller coaster g-forces are monitored in both SI and US customary units to ensure they stay within safe limits (typically under 6 g).