g-Acceleration Calculator - Curve, Circiut
Calculation of the g-force at a constant speed in a curve. When a body moves with constant speed in a circuit, it experiences acceleration. This increases with increasing speed and decreasing radius of the circle, which describes the curve in this section. The speed affects the acceleration quadratically. Strong g-forces can occur e.g. in a rollercoaster or in fighter jets.
Enter two values at speed, circle radius and acceleration. The third value will be calculated. For speed, the metric units meters per second and kilometers per hour can be selected as well as miles per hour or the nautic unit knots.
The formula for the acceleration in g is a=v²/r/9.81 (v in m/s, r in m)
Example: A car is driving at 30 kilometers per hour through a roundabout with a diameter of 34 meters. Its radius is therefore 17 meters, half the diameter. The occupants are subjected to a lateral, outward acceleration of approximately 0.42 g. For people sitting in the inner side of the circular path, such as the driver, this value is slightly higher than for people sitting on the outer side, because the radius is slightly smaller for them. If the car were driving at 40 km/h instead, the value would rise to 0.74 g, which is quite high.
Often, acceleration refers to the linear acceleration. However, acceleration is defined as a change in the state of motion. A body not subjected to a force maintains its linear motion at a constant speed, or remains stationary if it is at rest. An acting force results in a change in speed or direction, or both. If the speed decreases, then the acceleration is negative; this is also referred to as deceleration. Likewise, a force can cause a curve to become less tight or straighter.
Last updated on 06/30/2025. Author: Jürgen Kummer
German: g-Beschleunigung
Retrieved on 2026-07-19 from https://rechneronline.de/g-acceleration/curve.php