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: ft/s² = Milligravity × 0.03217
Multiply any Milligravity value by 0.03217 to get ft/s².
Reverse: Milligravity = ft/s² × 31.08
Common acceleration values — factor: 1 mg = 0.03217 ft/s²
| Milligravity (mg) | ft/s² (ft/s²) | Context |
|---|---|---|
| 0.01 mg | 0.0003217 ft/s² | Micro sensor |
| 0.1 mg | 0.003217 ft/s² | 0.1 mg |
| 1 mg | 0.03217 ft/s² | 1 mg |
| 10 mg | 0.3217 ft/s² | 10 mg sensor |
| 16.5 mg | 0.5309 ft/s² | Moon surface |
| 38 mg | 1.223 ft/s² | Mars surface |
| 50 mg | 1.609 ft/s² | 50 mg |
| 100 mg | 3.217 ft/s² | 0.1 g |
| 165 mg | 5.309 ft/s² | Moon surface mg |
| 380 mg | 12.23 ft/s² | Mars surface mg |
| 500 mg | 16.09 ft/s² | 0.5 g range |
| 1000 mg | 32.17 ft/s² | 1 g = 1000 mg |
| 9807 mg | 315.5 ft/s² | ~10 g |
| 1e+04 mg | 321.7 ft/s² | ~10 g |
| 1e+05 mg | 3217 ft/s² | ~100 g |
1 mg = 0.03217 ft/s².
9.807 m/s² = 1 g = 32.17 ft/s² = 980.7 cm/s² — use as reference.
Multiply result by 31.08 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.
Feet per second squared (ft/s²) is the Imperial acceleration unit, equal to 0.3048 m/s². It is used in US aerospace, ballistics, and mechanical engineering where calculations are performed in the Imperial foot-pound-second (FPS) system.
Standard gravity in ft/s² = 32.174 ft/s². Aerospace trajectory calculations, aircraft performance charts, and US military ballistics tables traditionally use ft/s². A car accelerating at 1g experiences approximately 32.2 ft/s².
Interesting fact: The original definition of the foot varied across different countries and trades (Roman foot, English foot, survey foot) until the International Foot was standardized as exactly 0.3048 meters in 1959.
Converting Milligravity to ft/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 = 0.3217 ft/s². Reverse: 1 ft/s² = 31.08 mg. Factor: 1 mg = 0.03217 ft/s².
All conversions use IEEE 754 double-precision arithmetic, accurate to at least 8 significant figures.