Banking Angle Calculator

About this calculator

This calculator finds the ideal banking angle of a curved road or racetrack — the angle at which a vehicle can take the turn at a given speed with zero reliance on friction — using θ = atan(v²/(r·g)), derived by setting the horizontal component of the normal force equal to the centripetal force required for circular motion (v²/r) while gravity g balances the vertical component.

Real roads are banked (superelevated) close to this ideal angle for their design speed so that tires experience less side-load, reducing wear and the risk of skidding, especially in rain or ice; racetracks like NASCAR ovals use much steeper banking to let cars corner at far higher speeds than a flat track would allow.

Civil and highway engineers designing curve superelevation, motorsport engineers analyzing track design, and physics students studying circular motion and centripetal force all use this formula to relate speed, radius, and banking angle.