Banking Angle Calculator
Compute the ideal banking angle θ = arctan(v²/(rg)).
Input Data
Speed
m/s
Radius
m
Results
θ = arctan(v²/(rg)).
39.1971°
At a glance:Ideal banking: tanθ = v²/(r·g), so θ = arctan(v²/(rg)). Complements centripetal-force and centripetal-acceleration.
Formula
tanθ = v² / (r·g).
$$\theta = \arctan\left(\frac{v^2}{rg}\right)$$How to Use
- Enter speed and radius.
- The tool returns the angle.
Case Studies
v=20, r=100, g=9.8
θ ≈ 22.4°.
FAQ
No friction needed?
At the ideal angle, the horizontal normal force provides all centripetal force.
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References
Content review: Calculatorism Science Team. Results are for reference only; please refer to the relevant authorities for the official figures.