MachineCalcs

Standard Rate Turn Calculator

Calculate bank angle, radius and load factor for a target turn rate such as 3 degrees per second.

Calculator

km/h

Standard rate is 3 deg/s, completing 360 degrees in 2 minutes.

deg/s

Results

Default result
Edit inputs
Required bank angle
15.4°
Pass

Also computed

Turn radius983m

Load factorPass1.04g

Full-turn time2.0min

Method notes 2 notes
  • Uses tan(bank) = turn_rate * TAS / g. Standard rate is 3 degrees per second.
  • This is a still-air coordinated-turn estimate; use actual procedures, instruments and aircraft limitations in flight.

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All Aviation

How to use this calculator

  1. Enter true airspeed. Use TAS for the turn geometry.
  2. Enter turn rate. Use 3 deg/s for standard rate or another target rate.
  3. Read bank angle. Review the bank angle required for the target rate.
  4. Check radius. Use the radius and load factor as context only.

How it works

The target turn rate is converted to radians per second, then bank = atan(omega x V / g). Radius is R = V / omega.

Pair it with turn radius, true airspeed and load factor.

Worked example

Verified against the live calculator

At 100 kt TAS and 3 deg/s, the required bank angle is about 15.4 degrees.

Frequently asked questions

What is a standard-rate turn?

A standard-rate turn is 3 degrees per second, completing 360 degrees in 2 minutes.

Should I use indicated or true airspeed?

Use true airspeed for the geometry. Rule-of-thumb cockpit techniques may use indicated airspeed separately.

What formula is used for bank angle?

The calculator uses tan(bank) = turn rate x true airspeed / g.

Does wind affect the bank angle?

Wind affects ground track and drift, but the still-air turn-rate geometry uses airspeed.

Method & assumptions

  • Assumes a coordinated level turn at constant true airspeed.
  • Does not replace instrument procedures, aircraft limitations, wind correction or ATC instructions.
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