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: Standard Gravity = Milligravity × 0.001
Multiply any Milligravity value by 0.001 to get Standard Gravity.
Reverse: Milligravity = Standard Gravity × 1000
Common acceleration values — factor: 1 mg = 0.001 g
| Milligravity (mg) | Standard Gravity (g) | Context |
|---|---|---|
| 0.01 mg | 1.000e-05 g | Micro sensor |
| 0.1 mg | 0.0001 g | 0.1 mg |
| 1 mg | 0.001 g | 1 mg |
| 10 mg | 0.01 g | 10 mg sensor |
| 16.5 mg | 0.0165 g | Moon surface |
| 38 mg | 0.038 g | Mars surface |
| 50 mg | 0.05 g | 50 mg |
| 100 mg | 0.1 g | 0.1 g |
| 165 mg | 0.165 g | Moon surface mg |
| 380 mg | 0.38 g | Mars surface mg |
| 500 mg | 0.5 g | 0.5 g range |
| 1000 mg | 1 g | 1 g = 1000 mg |
| 9807 mg | 9.807 g | ~10 g |
| 1e+04 mg | 10 g | ~10 g |
| 1e+05 mg | 100 g | ~100 g |
1 mg = 0.001 g.
9.807 m/s² = 1 g = 32.17 ft/s² = 980.7 cm/s² — use as reference.
Multiply result by 1000 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.
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 Milligravity 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 mg = 0.01 g. Reverse: 1 g = 1000 mg. Factor: 1 mg = 0.001 g.
All conversions use IEEE 754 double-precision arithmetic, accurate to at least 8 significant figures.