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Banked Curve Calculator

Find the ideal banking angle for a curved road, or the speed a vehicle can hold on a banked bend without any friction helping it.

tan θ = v² ÷ (r × g)

On a banked curve the road's slope supplies the sideways force, so the ideal angle depends on speed and bend radius.

Speed (m/s)

Curve radius (m)

Banking angle (°)

Gravity (m/s²)

Banking angle

… °

The calculation runs entirely in your browser, no data leaves your device. Change any number and the answer updates instantly.