Calculate cornering speed from lateral G-force and turn radius, or acceleration speed from G-force and time in mph, km/h, and m/s.
G-Force to MPH Formula
The following formula is used to convert G-Force to MPH.
Variables:
- G is the lateral acceleration expressed in g
- R is the radius of the turn in feet
- MPH is the speed in miles per hour
For cornering, multiply the lateral G-force by standard gravity (approximately 32.17404856 ft/sยฒ) and the turn radius in feet, take the square root, then multiply by 15/22 to convert ft/s to mph. G-force alone does not determine speed.
| G-Force (g) | Speed (mph) |
|---|---|
| 0.1 | 22.152 |
| 0.2 | 31.328 |
| 0.25 | 35.025 |
| 0.3 | 38.368 |
| 0.4 | 44.304 |
| 0.5 | 49.533 |
| 0.6 | 54.261 |
| 0.75 | 60.666 |
| 0.8 | 62.655 |
| 0.9 | 66.456 |
| 1 | 70.051 |
| 1.2 | 76.737 |
| 1.5 | 85.795 |
| 2 | 99.067 |
| 2.5 | 110.760 |
| 3 | 121.332 |
| 3.5 | 131.053 |
| 4 | 140.102 |
| 5 | 156.639 |
| 6 | 171.589 |
| * Rounded to 3 decimals. Using v = โ(G ร g ร r), with g = 9.80665 m/sยฒ and r = 100 m. Conversion: 1 mph = 0.44704 m/s exactly. | |
What is G-Force?
G-Force, or gravitational force, is a measurement of the type of force per unit mass โ typically acceleration โ that causes a perception of weight, with 1 g being the force per unit mass due to gravity at the Earth’s surface (9.8 m/s^2 or 32.174 ft/s^2). In the context of circular motion, such as a vehicle taking a turn, G-Force can be felt as the centripetal force required to keep the vehicle in a curved path.
How to Calculate Speed from G-Force?
The following steps outline how to calculate the speed in MPH from G-Force.
- First, determine the G-Force experienced (G).
- Next, determine the radius of the turn (R) in feet.
- Use the formula above: MPH = sqrt(G ร 32.17404856 ร R) ร (15/22).
- Finally, calculate the speed in MPH.
- After inserting the variables and calculating the result, check your answer with the calculator above.
Example Problem :
Use the following variables as an example problem to test your knowledge.
G-Force experienced (G) = 2 g
Radius of the turn (R) = 100 feet
