The G-Force to Velocity Calculator helps you convert lateral g-forces experienced during circular motion into actual velocity, measured in meters per second (m/s). It is most commonly used in physics, racing, aerospace, and safety engineering. The calculator shows how fast an object is moving when a specific g-force is applied over a known curve radius.
This tool is part of the physics and motion dynamics calculators category. It is useful for estimating speed during turning maneuvers in vehicles, aircraft, and ride designs where g-forces are involved.
formula
v = sqrt(G * R * 9.80665)
Variables:
v: Velocity (m/s)
G: G-force (dimensionless)
R: Radius of the turn (m)
9.80665: Earth's standard gravity (m/s²)
This formula is derived from Newton’s second law applied to circular motion. It helps determine the linear velocity needed to generate a given g-force when moving along a curved path.
G-Force to Velocity Reference Table
The following table shows estimated velocity values in meters per second for common g-forces across various turn radii. This helps users quickly reference results without running manual calculations.
| G-Force | Radius (m) | Velocity (m/s) |
|---|---|---|
| 1.0 | 10 | 9.90 |
| 1.0 | 25 | 15.68 |
| 1.0 | 50 | 22.17 |
| 2.0 | 10 | 14.01 |
| 2.0 | 25 | 22.17 |
| 2.0 | 50 | 31.35 |
| 3.0 | 10 | 17.15 |
| 3.0 | 25 | 27.10 |
| 3.0 | 50 | 38.38 |
| 5.0 | 50 | 49.57 |
This table can be used in automotive design, pilot training, and amusement park ride testing. It provides quick insight into how speed and g-force are related depending on the curve radius.
Example
Imagine a motorcycle is turning around a circular track with a radius of 20 meters, and the rider feels a g-force of 1.5 g. What is the velocity?
Given:
G = 1.5
R = 20 meters
v = sqrt(1.5 * 20 * 9.80665)
v = sqrt(294.1995)
v ≈ 17.15 m/s
So, the motorcycle is traveling at approximately 17.15 meters per second to experience 1.5 g while turning at a 20-meter radius.
Most Common FAQs
No, this calculator is designed for lateral g-forces in circular or curved horizontal motion. Vertical acceleration involves different physics considerations, including gravitational direction.
Yes, g-force is relative to Earth's standard gravity, which is 9.80665 m/s². One g equals that acceleration value.
Radius is part of the circular motion equation. A wider turn requires a higher speed to maintain the same g-force, while a tighter turn needs less speed to achieve the same effect.