Centripetal (G-Force) Calculator for Roller Coaster Loop
Typical roller coaster loop with a speed of 25 m/s and a 15 m radius to estimate the G-forces experienced by riders.
Calculates the g-force experienced during circular motion based on velocity and radius. Enter your Velocity (v), Radius of Circular Path (r) to get an instant centripetal g-force. Formula: pow(v, 2) / (r * 9.80665).
Centripetal G-Force
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How It Works
How It Works
This calculator determines the centripetal g-force experienced during circular motion. When an object moves in a circle, it constantly changes direction, which creates an inward acceleration called centripetal acceleration.
First, the calculator squares the velocity (v²). Then it divides that by the radius (r) to find centripetal acceleration. Finally, it divides by standard gravity (9.80665 m/s²) to convert the result into g-force.
- Square the velocity: v²
- Divide by the radius: v² / r
- Divide by 9.80665 to convert to g-force
- Result shows force in units of g
Understanding the Results
The result tells you how many times stronger the centripetal force is compared to normal gravity. A value of 1 g means the force is equal to Earth’s gravity.
Higher speeds or smaller radii increase the g-force. This helps you understand how intense the circular motion feels, such as in vehicles, aircraft, or amusement park rides.
- 1 g equals normal Earth gravity
- Higher speed increases g-force
- Smaller radius increases g-force
- Larger values mean stronger inward force
Disclaimer
This calculator provides estimates for informational purposes only. It is not professional advice. Verify results with a qualified professional. Disclaimer.