Acceleration of gravity to Meter/s² Converter
Enter the value that you want to convert Acceleration of gravity (g) to meter/s² (m/s²) or meter/s² to Acceleration of gravity.Also written as G to M/S² conversion.
1 Acceleration of gravity = 9.8066500 meter/s²
Formula: meter/s² = Acceleration of gravity value × 9.8066500
G to M/S² — Acceleration of gravity to meter/s²
10 Acceleration of gravity = 98.06650 meter/s²
Popular Acceleration Converters:
Acceleration of gravity vs Meter/s²
The Acceleration of gravity in Engineering
Acceleration of gravity (g) is a unit of acceleration measurement. 1 Acceleration of gravity is equal to 9.8066500 meter/s².
About the Meter/s²
Meter/s² (m/s²) is a unit of acceleration measurement. 1 meter/s² is equal to 0.1019716 Acceleration of gravity.
Acceleration of gravity to meter/s² metric conversion table
| 0.01 g | = | 0.09807 m/s² |
| 0.1 g | = | 0.98067 m/s² |
| 1 g | = | 9.80665 m/s² |
| 2 g | = | 19.61330 m/s² |
| 3 g | = | 29.41995 m/s² |
| 4 g | = | 39.22660 m/s² |
| 5 g | = | 49.03325 m/s² |
| 6 g | = | 58.83990 m/s² |
| 7 g | = | 68.64655 m/s² |
| 8 g | = | 78.45320 m/s² |
| 9 g | = | 88.25985 m/s² |
| 10 g | = | 98.06650 m/s² |
| 11 g | = | 107.87315 m/s² |
| 12 g | = | 117.67980 m/s² |
| 13 g | = | 127.48645 m/s² |
| 14 g | = | 137.29310 m/s² |
| 15 g | = | 147.09975 m/s² |
| 16 g | = | 156.90640 m/s² |
| 17 g | = | 166.71305 m/s² |
| 18 g | = | 176.51970 m/s² |
| 19 g | = | 186.32635 m/s² |
| 20 g | = | 196.13300 m/s² |
| 30 g | = | 294.19950 m/s² |
| 40 g | = | 392.26600 m/s² |
| 50 g | = | 490.33250 m/s² |
| 60 g | = | 588.39900 m/s² |
| 70 g | = | 686.46550 m/s² |
| 80 g | = | 784.53200 m/s² |
| 90 g | = | 882.59850 m/s² |
| 100 g | = | 980.66500 m/s² |
| 200 g | = | 1961.33000 m/s² |
| 300 g | = | 2941.99500 m/s² |
| 400 g | = | 3922.66000 m/s² |
| 500 g | = | 4903.32500 m/s² |
| 600 g | = | 5883.99000 m/s² |
| 700 g | = | 6864.65500 m/s² |
| 800 g | = | 7845.32000 m/s² |
| 900 g | = | 8825.98500 m/s² |
| 1000 g | = | 9806.65000 m/s² |
How to Convert G to M/S² (Acceleration of gravity to Meter/s²)?
We can convert Acceleration of gravity to meter/s² by using an example.
Example:
Convert 20 Acceleration of gravity to Meter/s²?
We know 1 Acceleration of gravity = 9.8066500 meter/s²; 1 Meter/s² = 0.1019716 Acceleration of gravity.
20 Acceleration of gravity = ___m/s²
20 × 9.8066500 = 196.13300 m/s² (we know 1 Acceleration of gravity = 9.8066500 meter/s²)
Answer:
20 Acceleration of gravity = 196.13300 meter/s²
How to Convert g-Force to m/s²
Converting g-force to m/s² is required for physics calculations, accelerometer calibration, and structural load analysis. Since 1 g = 9.80665 m/s² exactly, multiply the g value by 9.80665. This converts an intuitive human-scale unit into the SI unit needed for F = ma calculations.
- Start with the acceleration in g.
- Multiply by 9.80665 (standard gravity in m/s²).
- The result is the acceleration in m/s².
- Example: 3 g × 9.80665 = 29.42 m/s².
g to m/s²: Standard Reference Values
Key g-force levels and their m/s² equivalents:
| Acceleration of gravity | Meter/s² |
|---|---|
| 0.1 g | 0.981 m/s² |
| 0.5 g | 4.903 m/s² |
| 1 g | 9.807 m/s² |
| 2 g | 19.613 m/s² |
| 3 g | 29.420 m/s² |
| 5 g | 49.033 m/s² |
| 9 g | 88.260 m/s² |
| 100 g | 980.665 m/s² |
Solved Examples: g to m/s²
Question 1: A packaging spec requires the product to survive a 30 g shock. What acceleration must the drop test table produce in m/s²?
Solution:
m/s² = g × 9.80665
= 30 × 9.80665
= 294.2 m/s²
Answer: 30 g = 294.2 m/s² — the shock table must produce this peak acceleration with a half-sine pulse.
Question 2: An accelerometer reads 1.2 g on a tilted surface. Convert to m/s² for inclination calculation.
Solution:
m/s² = g × 9.80665
= 1.2 × 9.80665
= 11.768 m/s²
Answer: 1.2 g = 11.77 m/s² — this exceeds 1 g, indicating additional dynamic acceleration beyond gravity.
Question 3: A centrifuge produces 500 g for material separation. Express in m/s².
Solution:
m/s² = g × 9.80665
= 500 × 9.80665
= 4,903.3 m/s²
Answer: 500 g = 4,903.3 m/s² — lab centrifuges achieve this through high RPM at small radii.
Practice: g-Force to m/s²
Try solving these on your own to test your understanding:
- Convert 2.5 g to m/s². (Answer: 24.52 m/s²)
- A drop test requires 50 g. Express in m/s². (Answer: 490.33 m/s²)
- Convert 0.38 g (Mars gravity) to m/s². (Answer: 3.73 m/s²)
- An impact sensor triggers at 8 g. What is that in m/s²? (Answer: 78.45 m/s²)
- Convert 1.62 g to m/s². (Answer: 15.89 m/s²)
MEMS Accelerometers: From g to Engineering Units
MEMS accelerometers in smartphones output in g (typically ±2 g, ±4 g, or ±16 g range). Applications like inertial navigation need m/s² for integration (velocity = ∫acceleration dt). The firmware multiplies raw g readings by 9.80665 to get m/s², then double-integrates for position. Error accumulates quickly: a 0.01 g (0.098 m/s²) bias causes 0.049 m/s velocity error per second and 0.025 m position error per second squared. Calibration removes this bias in g, then converts to m/s² for navigation math.
Planetary Gravity Comparison
Every celestial body has a surface gravity expressed in g: Moon = 0.166 g (1.625 m/s²), Mars = 0.378 g (3.72 m/s²), Jupiter = 2.528 g (24.79 m/s²). Spacecraft designers convert these g values to m/s² for trajectory and landing calculations. A Mars lander designed for Earth (1 g = 9.81 m/s²) is overbuilt for Mars (0.378 g = 3.72 m/s²), but must survive 4-5 g (39-49 m/s²) during atmospheric entry deceleration.
Key Takeaways
- Multiply g by 9.80665 to get m/s².
- Quick estimate: g × 10 then subtract 2%.
- MEMS accelerometers output g; multiply by 9.80665 for navigation math.
- Shock/vibration testing specs in g must be converted to m/s² for servo controller input.
- Planetary gravities in g convert to m/s² for trajectory calculations.
Acceleration of gravity to Meter/s² Conversion Formula
meter/s² = Acceleration of gravity × 9.8066500
1 Acceleration of gravity = 9.8066500 meter/s²
1 meter/s² = 0.1019716 Acceleration of gravity
Reverse: Acceleration of gravity = meter/s² × 0.1019716
Frequently Asked Questions
How many meter/s² are in 1 Acceleration of gravity?
There are 9.8066500 meter/s² in 1 Acceleration of gravity. To convert Acceleration of gravity to meter/s², multiply the value by 9.8066500.
How do I convert Acceleration of gravity to meter/s²?
Multiply your Acceleration of gravity value by 9.8066500 to get the equivalent in meter/s². For example, 5 Acceleration of gravity = 5 × 9.8066500 = 49.03325 meter/s².
How do I convert meter/s² to Acceleration of gravity?
Multiply your meter/s² value by 0.1019716 to get the equivalent in Acceleration of gravity. Alternatively, divide by 9.8066500.
What is 10 Acceleration of gravity in meter/s²?
10 Acceleration of gravity is equal to 98.06650 meter/s².
What is 100 Acceleration of gravity in meter/s²?
100 Acceleration of gravity is equal to 980.66500 meter/s².