Convert acceleration units — m/s², ft/s², g-force, Gal and more.
| Unit | Name | Value |
|---|---|---|
| m/s² | Meter/Square Second | 0.01 |
| ft/s² | Foot/Square Second | 0.032808399 |
| in/s² | Inch/Square Second | 0.39370079 |
| g | Standard Gravity | 0.0010197162 |
| Gal | Gal (cm/s²) | 1 |
| mG | Millig | 1.0197162 |
Formula: Milligravity = cm/s² × 1.02
Multiply any cm/s² value by 1.02 to get Milligravity.
Reverse: cm/s² = Milligravity × 0.9807
Common acceleration values — factor: 1 cm/s² = 1.02 mg
| cm/s² (cm/s²) | Milligravity (mg) | Context |
|---|---|---|
| 0.001 cm/s² | 0.00102 mg | μGal precision |
| 0.01 cm/s² | 0.0102 mg | Sub-mGal |
| 0.1 cm/s² | 0.102 mg | mGal geodesy |
| 1 cm/s² | 1.02 mg | 1 Gal = 1 cm/s² |
| 10 cm/s² | 10.2 mg | 10 Gal |
| 98 cm/s² | 99.93 mg | 0.1 g |
| 100 cm/s² | 102 mg | 0.102 g |
| 162 cm/s² | 165.2 mg | Moon surface |
| 370 cm/s² | 377.3 mg | Mars surface |
| 490 cm/s² | 499.7 mg | 0.5 g |
| 980.7 cm/s² | 1000 mg | 1 g Earth |
| 1962 cm/s² | 2001 mg | 2 g |
| 3700 cm/s² | 3773 mg | ~4 g |
| 9807 cm/s² | 1e+04 mg | ~10 g |
| 1e+05 cm/s² | 1.02e+05 mg | ~100 g |
1 cm/s² = 1.02 mg.
9.807 m/s² = 1 g = 32.17 ft/s² = 980.7 cm/s² — use as reference.
Multiply result by 0.9807 to recover the original cm/s² 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.
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.
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.
Converting cm/s² to Milligravity 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 cm/s² = 10.2 mg. Reverse: 1 mg = 0.9807 cm/s². Factor: 1 cm/s² = 1.02 mg.
All conversions use IEEE 754 double-precision arithmetic, accurate to at least 8 significant figures.