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Convert between meters per second squared, g-force, feet per second squared, Gal, milligal, km/h/s, mph/s, and inches per second squared instantly.
This table shows common real-world acceleration values expressed in m/s² and g-force, giving you a practical sense of scale for different acceleration magnitudes.
| Description | m/s² | g-force | ft/s² | Context |
|---|---|---|---|---|
| Standard gravity | 9.81 | 1.0 | 32.17 | Weight you feel standing still |
| Moon gravity | 1.62 | 0.165 | 5.31 | Apollo astronauts bouncing on the surface |
| Mars gravity | 3.72 | 0.379 | 12.20 | About 38% of Earth gravity |
| Gentle braking (car) | 3.0 | 0.31 | 9.84 | Comfortable stop at traffic light |
| Hard braking (car) | 9.8 | 1.0 | 32.15 | Emergency stop, ABS activated |
| Sports car 0-60 mph | 6.7 | 0.68 | 21.98 | Average acceleration in 4-second sprint |
| Commercial airplane takeoff | 2.5 | 0.25 | 8.20 | Pushed back into your seat on the runway |
| Roller coaster peak | 29–59 | 3–6 | 95–194 | Extreme thrill ride forces |
| Space Shuttle launch | 29 | 3.0 | 95.14 | Maximum during ascent |
| Fighter jet turn | 88 | 9.0 | 288.71 | Maximum sustained pilot tolerance |
| Free fall on Earth | 9.81 | 1.0 | 32.17 | Skydiver before terminal velocity |
| Bullet acceleration | ~900,000 | ~91,800 | ~2,952,756 | Inside gun barrel during firing |
Acceleration is the rate of change of velocity with respect to time. In simpler terms, it measures how quickly an object speeds up, slows down, or changes direction. The SI unit of acceleration is meters per second squared (m/s²), which means the velocity changes by that many meters per second during each second of time. For example, an acceleration of 5 m/s² means the object gains 5 meters per second of speed every second.
The concept of acceleration was formalized by Sir Isaac Newton in his Second Law of Motion (F = ma), which states that the force acting on an object equals its mass times its acceleration. This relationship is fundamental to classical mechanics and engineering. Galileo Galilei first studied acceleration in the early 1600s by rolling balls down inclined planes, and the unit "Gal" (galileo) used in geophysics is named in his honor.
G-force is a way to express acceleration relative to Earth's gravitational pull. Standing on Earth, you experience 1g (9.80665 m/s²). Astronauts during launch may experience 3g, and fighter pilots can reach up to 9g during extreme maneuvers. G-force is widely used in aerospace, automotive, and amusement park engineering because it provides an intuitive sense of the physical forces involved.
Other common acceleration units include feet per second squared (ft/s²), used in the US customary system; the Gal and milligal (mGal), used in gravimetry and seismology; kilometers per hour per second (km/h/s), used in automotive testing; and miles per hour per second (mph/s), also used in vehicle performance measurement. Each unit serves specific industries and applications.
Result = Value × (Source Factor / Target Factor)
Every acceleration unit has a conversion factor relative to m/s². To convert, multiply the value by the source unit's factor, then divide by the target unit's factor.
To roughly convert g-force to m/s², multiply by 10 (actual factor is 9.807). To convert ft/s² to m/s², divide by 3.28 (or multiply by 0.3). For km/h/s to m/s², divide by 3.6. These approximations are handy for quick estimates.
| g-force | m/s² | ft/s² | Gal | km/h/s |
|---|---|---|---|---|
| 0.1g | 0.981 | 3.217 | 98.07 | 3.530 |
| 0.5g | 4.903 | 16.09 | 490.3 | 17.65 |
| 1.0g | 9.807 | 32.17 | 980.7 | 35.30 |
| 2.0g | 19.61 | 64.35 | 1,961 | 70.60 |
| 3.0g | 29.42 | 96.52 | 2,942 | 105.9 |
| 5.0g | 49.03 | 160.9 | 4,903 | 176.5 |
| 9.0g | 88.26 | 289.6 | 8,826 | 317.7 |
| m/s² | g-force | ft/s² | mph/s | in/s² |
|---|---|---|---|---|
| 1 | 0.1020 | 3.281 | 2.237 | 39.37 |
| 5 | 0.5099 | 16.40 | 11.18 | 196.9 |
| 10 | 1.020 | 32.81 | 22.37 | 393.7 |
| 25 | 2.549 | 82.02 | 55.92 | 984.3 |
| 50 | 5.099 | 164.0 | 111.8 | 1,969 |
| 100 | 10.20 | 328.1 | 223.7 | 3,937 |
| Body | m/s² | g-force | ft/s² |
|---|---|---|---|
| Mercury | 3.70 | 0.377 | 12.14 |
| Venus | 8.87 | 0.905 | 29.10 |
| Earth | 9.81 | 1.000 | 32.17 |
| Moon | 1.62 | 0.165 | 5.31 |
| Mars | 3.72 | 0.379 | 12.20 |
| Jupiter | 24.79 | 2.528 | 81.33 |
| Saturn | 10.44 | 1.065 | 34.25 |
Vehicle performance testing uses km/h/s and mph/s for acceleration runs, while crash testing and safety analysis rely on g-force measurements. Engineers frequently convert between these units during development.
Pilots, astronauts, and aerospace engineers work with g-force to assess human tolerance limits and structural loads. Converting to m/s² is essential for physics calculations and simulation software.
Gravity surveys use milligals (mGal) to detect underground density variations for mineral exploration and earthquake research. Converting to SI units is needed for publishing and cross-referencing data.
Students encounter acceleration in multiple unit systems across textbooks from different countries. Quick unit conversion helps verify homework, understand problems, and build intuition about physical magnitudes.
In physics, lowercase "g" represents gravitational acceleration (9.81 m/s²), not grams. Context matters: "3g" in acceleration means three times Earth's gravity, not three grams.
km/h/s and mph/s involve mixed time units (hours and seconds). The factor for km/h/s to m/s² is 1/3.6, not 1/3600. The hour is in the velocity part, and the second is the time interval.
Standard gravity is exactly 9.80665 m/s² by international agreement, not 9.8 or 9.81. For high-precision work (aerospace, gravimetry), using rounded values introduces meaningful errors.
The Gal is already an acceleration unit (1 Gal = 1 cm/s²). It does not need to be divided by time again. A milligal (mGal) is 0.001 Gal = 0.00001 m/s².
Acceleration has both magnitude and direction. Deceleration (braking) is negative acceleration. When converting units, the magnitude changes but the direction remains the same.
When converting between very different scales (e.g., mGal to g), the exponent changes dramatically. Always verify your result makes physical sense. For instance, 1 mGal = 1.02 × 10²²² g, an extremely small fraction of gravity.
1 m/s² equals approximately 0.102 g. You divide by the standard gravity constant 9.80665 m/s² to convert meters per second squared to g-force.
The Gal (galileo) is used in gravimetry and seismology to measure small variations in gravitational acceleration. 1 Gal equals 1 cm/s², and milligals (mGal) are commonly used for precision gravity surveys.
Trained pilots with g-suits can tolerate up to 9g for short periods. Untrained individuals may lose consciousness above 4-6g due to blood pooling away from the brain. Brief impacts of over 100g have been survived in car crashes with proper restraints.
Car performance is measured in 0-60 mph acceleration times. Sports cars can achieve 3-4 seconds (approximately 6.7 m/s² average), while luxury sedans typically reach 60 mph in 6-8 seconds. Braking deceleration is also measured in m/s² or g.
Velocity measures how fast an object is moving (meters per second), while acceleration measures how quickly that velocity changes over time (meters per second squared). A car cruising at constant speed has velocity but zero acceleration.
G-force provides an intuitive measure relative to Earth's gravity. It helps predict physiological effects on astronauts and pilots, and makes structural load calculations easier since 1g equals the force experienced standing on Earth.
The Moon's surface gravity is approximately 1.62 m/s², which is about 0.165g or roughly one-sixth of Earth's gravity. This is why astronauts could jump much higher and farther on the Moon during the Apollo missions.
To convert kilometers per hour per second to meters per second squared, divide by 3.6. For example, 36 km/h/s equals 10 m/s². This is because 1 km/h equals 1/3.6 m/s, so the conversion factor is 0.27778.
Centripetal acceleration is the acceleration directed toward the center of a circular path. It equals v²/r, where v is the tangential velocity and r is the radius. This is what keeps objects moving in a circle and is measured in m/s² or g.
Gravitational acceleration decreases with altitude. At sea level it is about 9.81 m/s², but at the top of Mount Everest (8,849 m) it drops to about 9.78 m/s². In low Earth orbit (400 km), it is still about 8.7 m/s², but astronauts feel weightless because they are in free fall.
This acceleration converter is provided for educational and reference purposes. While we strive for accuracy, always verify critical calculations with authoritative sources for professional, engineering, or safety-related applications.