How to use the banked curve angle calculator
Find the ideal banking angle for a frictionless turn. Enter speed, radius in the fields above; the banking angle is computed instantly and plotted on the chart so you can see how the answer changes.
Formula
Variables
- v — Speed (m/s)
- r — Radius (m)
Worked example
With speed = 25 m/s, radius = 100 m, the calculator gives banking angle ≈ 32.51028 °.
Frequently asked questions
What is the formula for the banked curve angle calculation?
Banking angle (°) = atan(v × v / (r × GRAV)). Here v is speed (m/s), r is radius (m).
What inputs do I need for the banked curve angle calculator?
You need speed in m/s, radius in m. Each field is pre-filled with a typical example so you can see how the result responds as you edit the numbers.
How do I use this calculator?
Type values into the input fields. Results and the chart update instantly. Use Reset to restore the example values, Copy results to paste them elsewhere, or Share to copy a link that preserves your inputs.
Is the result exact?
Calculations use standard formulas and double-precision arithmetic, then display about seven significant figures. Real-world measurements carry uncertainty, so treat results as estimates unless your inputs are exact.