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: cm/s² = Milligravity × 0.9807
Multiply any Milligravity value by 0.9807 to get cm/s².
Reverse: Milligravity = cm/s² × 1.02
Common acceleration values — factor: 1 mg = 0.9807 cm/s²
| Milligravity (mg) | cm/s² (cm/s²) | Context |
|---|---|---|
| 0.01 mg | 0.009807 cm/s² | Micro sensor |
| 0.1 mg | 0.09807 cm/s² | 0.1 mg |
| 1 mg | 0.9807 cm/s² | 1 mg |
| 10 mg | 9.807 cm/s² | 10 mg sensor |
| 16.5 mg | 16.18 cm/s² | Moon surface |
| 38 mg | 37.27 cm/s² | Mars surface |
| 50 mg | 49.03 cm/s² | 50 mg |
| 100 mg | 98.07 cm/s² | 0.1 g |
| 165 mg | 161.8 cm/s² | Moon surface mg |
| 380 mg | 372.7 cm/s² | Mars surface mg |
| 500 mg | 490.3 cm/s² | 0.5 g range |
| 1000 mg | 980.7 cm/s² | 1 g = 1000 mg |
| 9807 mg | 9617 cm/s² | ~10 g |
| 1e+04 mg | 9807 cm/s² | ~10 g |
| 1e+05 mg | 9.807e+04 cm/s² | ~100 g |
1 mg = 0.9807 cm/s².
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.
Centimeters per second squared (cm/s²) is the CGS unit of acceleration, equal to exactly 0.01 m/s². The Gal (named after Galileo) is exactly 1 cm/s² and is the standard unit in gravimetry and geophysics.
Gravimeters measure local variations in Earth's gravitational acceleration in milligals (mGal) and microgals (μGal). Earth's gravity varies by about ±0.5 Gal (50 cm/s²) between the equator and poles due to Earth's shape and rotation.
Interesting fact: The Gal unit honors Galileo Galilei, who first quantified free-fall acceleration in the late 16th century using inclined planes and water clocks — without any precise timing instruments, he determined that distance fallen is proportional to the square of time.
Converting Milligravity to cm/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 = 9.807 cm/s². Reverse: 1 cm/s² = 1.02 mg. Factor: 1 mg = 0.9807 cm/s².
All conversions use IEEE 754 double-precision arithmetic, accurate to at least 8 significant figures.