Convert acceleration units — m/s², ft/s², g-force, Gal and more.
| Unit | Name | Value |
|---|---|---|
| m/s² | Meter/Square Second | 0.00980665 |
| cm/s² | Centimeter/Square Second | 0.980665 |
| ft/s² | Foot/Square Second | 0.032174049 |
| in/s² | Inch/Square Second | 0.38608858 |
| g | Standard Gravity | 0.001 |
| Gal | Gal (cm/s²) | 0.980665 |
Formula: m/s² = Milligravity × 0.009807
Multiply any Milligravity value by 0.009807 to get m/s².
Reverse: Milligravity = m/s² × 102
Common acceleration values — factor: 1 mg = 0.009807 m/s²
| Milligravity (mg) | m/s² (m/s²) | Context |
|---|---|---|
| 0.01 mg | 9.807e-05 m/s² | Micro sensor |
| 0.1 mg | 0.0009807 m/s² | 0.1 mg |
| 1 mg | 0.009807 m/s² | 1 mg |
| 10 mg | 0.09807 m/s² | 10 mg sensor |
| 16.5 mg | 0.1618 m/s² | Moon surface |
| 38 mg | 0.3727 m/s² | Mars surface |
| 50 mg | 0.4903 m/s² | 50 mg |
| 100 mg | 0.9807 m/s² | 0.1 g |
| 165 mg | 1.618 m/s² | Moon surface mg |
| 380 mg | 3.727 m/s² | Mars surface mg |
| 500 mg | 4.903 m/s² | 0.5 g range |
| 1000 mg | 9.807 m/s² | 1 g = 1000 mg |
| 9807 mg | 96.17 m/s² | ~10 g |
| 1e+04 mg | 98.07 m/s² | ~10 g |
| 1e+05 mg | 980.7 m/s² | ~100 g |
mg × 0.009807 = m/s².
1,000 mg = 9.807 m/s² = 1 g. 1 mg = 0.009807 m/s².
m/s² × 101.97 = mg.
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.
Milligravity (mg) equals 0.001g = 0.00980665 m/s². It is used to specify very small accelerations in spacecraft attitude control, precision instruments, microgravity research, and inertial sensor specifications.
Accelerometers in smartphones and wearables typically have full-scale ranges of ±2g to ±16g with resolutions in the mg range. Micro-g (μg = 10⁻⁶ g) accelerometers are used on the International Space Station to measure residual vibration from crew movement.
Interesting fact: Seismic activity too small to feel (micro-earthquakes) produces accelerations of less than 1 mg. The human threshold of perception for whole-body vibration is approximately 1–5 mg depending on frequency.
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.
Converting Milligravity to m/s² 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 mg = 0.09807 m/s². Reverse: 1 m/s² = 102 mg. Factor: 1 mg = 0.009807 m/s².
All conversions use IEEE 754 double-precision arithmetic, accurate to at least 8 significant figures.