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: Gal = Milligravity × 0.9807
Multiply any Milligravity value by 0.9807 to get Gal.
Reverse: Milligravity = Gal × 1.02
Common acceleration values — factor: 1 mg = 0.9807 Gal
| Milligravity (mg) | Gal (Gal) | Context |
|---|---|---|
| 0.01 mg | 0.009807 Gal | Micro sensor |
| 0.1 mg | 0.09807 Gal | 0.1 mg |
| 1 mg | 0.9807 Gal | 1 mg |
| 10 mg | 9.807 Gal | 10 mg sensor |
| 16.5 mg | 16.18 Gal | Moon surface |
| 38 mg | 37.27 Gal | Mars surface |
| 50 mg | 49.03 Gal | 50 mg |
| 100 mg | 98.07 Gal | 0.1 g |
| 165 mg | 161.8 Gal | Moon surface mg |
| 380 mg | 372.7 Gal | Mars surface mg |
| 500 mg | 490.3 Gal | 0.5 g range |
| 1000 mg | 980.7 Gal | 1 g = 1000 mg |
| 9807 mg | 9617 Gal | ~10 g |
| 1e+04 mg | 9807 Gal | ~10 g |
| 1e+05 mg | 9.807e+04 Gal | ~100 g |
1 mg = 0.9807 Gal.
9.807 m/s² = 1 g = 32.17 ft/s² = 980.7 cm/s² — use as reference.
Multiply result by 1.02 to recover the original mg value.
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 Gal (symbol: Gal) is a unit of acceleration equal to exactly 1 cm/s² = 0.01 m/s², named in honor of Galileo Galilei. It is the standard unit in geodesy and gravimetry, where small variations in Earth's gravitational field are measured.
Earth's mean gravitational acceleration is about 980 Gal (9.80 m/s²). Local variations due to geology, elevation, and latitude span about ±0.5 Gal. Modern superconducting gravimeters can detect variations smaller than 1 μGal (10⁻⁸ m/s²).
Interesting fact: Gravity surveys using Gal measurements can detect underground oil reservoirs, ore deposits, and aquifers because different materials have different densities — and thus different gravitational effects — without any drilling.
Converting Milligravity to Gal 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 = 9.807 Gal. Reverse: 1 Gal = 1.02 mg. Factor: 1 mg = 0.9807 Gal.
All conversions use IEEE 754 double-precision arithmetic, accurate to at least 8 significant figures.