MachineCalcs

Turn Radius Calculator

Calculate coordinated level-turn radius, turn rate and load factor from airspeed and bank angle.

Calculator

True airspeed for the turn-radius relation.

km/h

Coordinated level-turn bank angle.

°

Results

Default result
Edit inputs
Turn radius
379m
Pass

Also computed

Turn rate7.01deg/s

Load factorPass1.15g

One-turn distance2,379m

Method notes 2 notes
  • Uses R = V^2 / (g * tan(phi)) and turn rate = g * tan(phi) / V for a coordinated level turn.
  • Use true airspeed for geometry. Wind changes ground track, not the still-air turn radius around the aircraft path.

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How to use this calculator

  1. Enter airspeed. Use true airspeed for the still-air geometry.
  2. Enter bank angle. Use the bank angle of the coordinated level turn.
  3. Read radius. Review turn radius and one-turn distance.
  4. Check rate and g. Compare turn rate and load factor with the intended maneuver.

How it works

The calculator uses R = V^2 / (g x tan(phi)) and omega = g x tan(phi) / V. Load factor is still 1 / cos(phi).

Pair it with load factor, maneuvering speed and crosswind component.

Worked example

Verified against the live calculator

At 90 kt true airspeed and 30 degrees of bank, the still-air turn radius is about 1,240 ft and the turn rate is about 7 degrees per second.

Frequently asked questions

What speed should I use for turn radius?

Use true airspeed for the turn-radius formula. Wind changes the ground track, not the still-air path radius around the aircraft.

What formula does this use?

It uses R = V^2 / (g x tan(bank angle)) and turn rate = g x tan(bank angle) / V.

Does this calculate a standard-rate turn?

It returns turn rate in degrees per second, so you can compare it with a 3 deg/s standard-rate target.

Does this include wind drift?

No. This is a still-air coordinated-turn geometry calculation.

Method & assumptions

  • Assumes coordinated, level, constant-speed flight.
  • Does not include wind drift, roll-in/roll-out, climb/descent, terrain, traffic separation or aircraft limits.
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