Convert acceleration units — m/s², ft/s², g-force, Gal and more.
| Unit | Name | Value |
|---|---|---|
| cm/s² | Centimeter/Square Second | 100 |
| ft/s² | Foot/Square Second | 3.2808399 |
| in/s² | Inch/Square Second | 39.370079 |
| g | Standard Gravity | 0.10197162 |
| Gal | Gal (cm/s²) | 100 |
| mG | Millig | 101.97162 |
Formula: Standard Gravity = m/s² × 0.102
Multiply any m/s² value by 0.102 to get Standard Gravity.
Reverse: m/s² = Standard Gravity × 9.807
Common acceleration values — factor: 1 m/s² = 0.102 g
| m/s² (m/s²) | Standard Gravity (g) | Context |
|---|---|---|
| 0.001 m/s² | 0.000102 g | Seismic micro |
| 0.01 m/s² | 0.00102 g | Gentle vibration |
| 0.1 m/s² | 0.0102 g | Slow elevator |
| 0.98 m/s² | 0.09993 g | 0.1 g |
| 1 m/s² | 0.102 g | 1 m/s² |
| 1.62 m/s² | 0.1652 g | Moon surface |
| 3.7 m/s² | 0.3773 g | Mars surface |
| 4.9 m/s² | 0.4997 g | 0.5 g braking |
| 9.807 m/s² | 1 g | 1 g Earth surface |
| 19.6 m/s² | 1.999 g | 2 g |
| 50 m/s² | 5.099 g | 5 g fighter jet |
| 98.07 m/s² | 10 g | 10 g |
| 100 m/s² | 10.2 g | ~10 g |
| 490 m/s² | 49.97 g | ~50 g |
| 1000 m/s² | 102 g | ~100 g crash |
m/s² ÷ 9.807 = g. Round to ÷ 9.81.
9.807 m/s² = 1 g. 4.9 m/s² = 0.5 g. 98.07 m/s² = 10 g.
g × 9.807 = m/s².
Specifies aircraft and spacecraft acceleration loads in g and m/s² for structural design and pilot tolerance.
Measures vehicle acceleration performance (0–100 km/h) and braking deceleration in m/s² and g.
Uses Gal and mGal to measure variations in Earth's gravitational field for mineral exploration.
Programs joint acceleration limits in m/s² or in/s² for servo motor control and trajectory planning.
Calculates seismic acceleration loads (in g or m/s²) for earthquake-resistant building design.
Measures athlete acceleration performance using accelerometers reporting in g or m/s².
The meter per second squared (m/s²) is the SI unit of acceleration, defined as the rate of change of velocity in meters per second, per second. It was formalized with the adoption of the International System of Units in 1960, building on Newton's second law F = ma.
m/s² is the universal unit in physics and engineering: free-fall acceleration on Earth = 9.80665 m/s²; a sports car accelerating from 0–100 km/h in 4 seconds experiences about 6.9 m/s²; the Large Hadron Collider accelerates particles at up to 10²⁰ m/s².
Interesting fact: The highest g-force ever survived by a human was 46.2g (453 m/s²), experienced by racing driver David Purley in a crash at the 1977 British Grand Prix. The acceleration lasted only milliseconds but was survivable due to the restraint system.
Standard gravity (g) is defined as exactly 9.80665 m/s², representing the nominal gravitational acceleration at Earth's surface (sea level, 45° latitude). It was adopted as a standard by the International Committee on Weights and Measures (CIPM) in 1901.
G-force (multiples of g) is the most intuitive acceleration unit for human experience: commercial aircraft cruise at about 1g; fighter jet maneuvers at 4–9g; astronaut launch at 3g; roller coasters at 2–6g. Human loss of consciousness (G-LOC) occurs at about 5–9g sustained.
Interesting fact: At 0g (weightlessness), the human vestibular system becomes confused within seconds — causing space sickness in about half of all astronauts. At the Moon's surface, gravity is 0.165g; on Mars 0.38g; on Jupiter's surface, about 2.5g.
Converting m/s² to Standard Gravity is common in aerospace, automotive, geophysics, and robotics. Physics and SI engineering use m/s²; US aerospace uses ft/s²; geophysics uses Gal (cm/s²); and g-force is universal. Key anchor: Earth surface gravity = 9.807 m/s² = 1 g = 32.17 ft/s² = 980.7 Gal.
Quick reference: 10 m/s² = 1.02 g. Reverse: 1 g = 9.807 m/s². Factor: 1 m/s² = 0.102 g.
All conversions use IEEE 754 double-precision arithmetic, accurate to at least 8 significant figures.