🛣️ Angle of Banking Calculator
Find the ideal banking angle for a curved road or racetrack so a vehicle can safely take the turn at a given speed without relying on friction.
What this calculates
When a road or track curves, banking the surface tilts the normal force so it helps provide the centripetal force needed to keep a vehicle on the curve, reducing reliance on tire friction.
The formula
The ideal (frictionless) banking angle satisfies tan(θ) = v² / (g·r), where v is speed in meters per second, g is gravitational acceleration (9.80665 m/s²), and r is the curve’s radius. This calculator converts your speed to m/s, applies the formula, and converts the resulting angle to degrees.
This is a theoretical ideal angle assuming no friction; real roads add margin and friction to handle a range of speeds safely. For actual road design, follow professional engineering standards.