Turn Radius Calculator

Turn radius (R):

Aircraft velocity (V):

Gravitational acceleration (g):

Bank angle (φ):

How This Is Calculated

$$ R = \frac{V^2}{g tan \phi} $$ where:

R = Turn radius (m)

V = Aircraft velocity (m/s)

g = Gravitational acceleration (m/s²)

φ = Bank angle (rad)

Assumptions

The aircraft is in a steady, coordinated turn.
The speed and altitude of the aircraft remain constant.
Airodynamic forces are ideal.
Air is incompressible.
Centripetal force is entirely provided by the horizontal component of lift.

Related Calculators

Lift

Drag

Lift-to-Drag Ratio

Rate of Climb

Turn Rate