Rate of Turn Calculator

✖Bank Angle is the angle between the lift vector and the vertical axis during a level turn of the aircraft.ⓘ Bank Angle [Φ]			+10% -10%
✖Flight Velocity refers to the speed at which an aircraft moves through the air.ⓘ Flight Velocity [V]			+10% -10%

✖Turn Rate is the rate at which an aircraft executes a turn expressed in degrees per second.ⓘ Rate of Turn [ω]

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Rate of Turn Solution

STEP 0: Pre-Calculation Summary

Formula Used

Turn Rate = 1091*tan(Bank Angle)/Flight Velocity
ω = 1091*tan(Φ)/V
This formula uses 1 Functions, 3 Variables

Functions Used

tan - The tangent of an angle is a trigonometric ratio of the length of the side opposite an angle to the length of the side adjacent to an angle in a right triangle., tan(Angle)

Variables Used

Turn Rate - (Measured in Degree per Second) - Turn Rate is the rate at which an aircraft executes a turn expressed in degrees per second.
Bank Angle - (Measured in Radian) - Bank Angle is the angle between the lift vector and the vertical axis during a level turn of the aircraft.
Flight Velocity - (Measured in Knot) - Flight Velocity refers to the speed at which an aircraft moves through the air.

STEP 1: Convert Input(s) to Base Unit

Bank Angle: 0.45 Radian --> 0.45 Radian No Conversion Required
Flight Velocity: 200 Meter per Second --> 388.76889848812 Knot (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

ω = 1091*tan(Φ)/V --> 1091*tan(0.45)/388.76889848812

Evaluating ... ...

ω = 1.35559474700055

STEP 3: Convert Result to Output's Unit

0.0236595916578947 Radian per Second -->1.35559474700055 Degree per Second (Check conversion here)

FINAL ANSWER

1.35559474700055 ≈ 1.355595 Degree per Second <-- Turn Rate

(Calculation completed in 00.020 seconds)

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Created by Kaki Varun Krishna

Mahatma Gandhi Institute of Technology (MGIT), Hyderabad

Kaki Varun Krishna has created this Calculator and 25+ more calculators!

Verified by Prasana Kannan

Sri sivasubramaniyanadar college of engineering (ssn college of engineering), Chennai

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< Turning Flight Calculators

Load Factor given Turn Radius

LaTeX Go Load Factor = sqrt(1+(Flight Velocity^2/([g]*Turn Radius))^2)

Load Factor given Turn Rate

LaTeX Go Load Factor = sqrt((Flight Velocity*Turn Rate/[g])^2+1)

Velocity for given turn rate

LaTeX Go Flight Velocity = [g]*sqrt(Load Factor^2-1)/Turn Rate

Turn rate

LaTeX Go Turn Rate = [g]*sqrt(Load Factor^2-1)/Flight Velocity

Rate of Turn Formula

LaTeX Go

Turn Rate = 1091*tan(Bank Angle)/Flight Velocity
ω = 1091*tan(Φ)/V

How are Rate of Turns used?

Standardized turn rates are often employed in approaches and holding patterns to provide a reference for controllers and pilots so that each will know what the other is expecting.

How to Calculate Rate of Turn?

Rate of Turn calculator uses Turn Rate = 1091*tan(Bank Angle)/Flight Velocity to calculate the Turn Rate, Rate of Turn is a measure of an aircraft's rotation around its vertical axis during a turn, calculated by considering the banking angle and velocity of the aircraft during the turn. Turn Rate is denoted by ω symbol.

How to calculate Rate of Turn using this online calculator? To use this online calculator for Rate of Turn, enter Bank Angle (Φ) & Flight Velocity (V) and hit the calculate button. Here is how the Rate of Turn calculation can be explained with given input values -> 77.66986 = 1091*tan(0.45)/200.

FAQ

What is Rate of Turn?

Rate of Turn is a measure of an aircraft's rotation around its vertical axis during a turn, calculated by considering the banking angle and velocity of the aircraft during the turn and is represented as ω = 1091*tan(Φ)/V or Turn Rate = 1091*tan(Bank Angle)/Flight Velocity. Bank Angle is the angle between the lift vector and the vertical axis during a level turn of the aircraft & Flight Velocity refers to the speed at which an aircraft moves through the air.

How to calculate Rate of Turn?

Rate of Turn is a measure of an aircraft's rotation around its vertical axis during a turn, calculated by considering the banking angle and velocity of the aircraft during the turn is calculated using Turn Rate = 1091*tan(Bank Angle)/Flight Velocity. To calculate Rate of Turn, you need Bank Angle (Φ) & Flight Velocity (V). With our tool, you need to enter the respective value for Bank Angle & Flight Velocity and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Turn Rate?

In this formula, Turn Rate uses Bank Angle & Flight Velocity. We can use 1 other way(s) to calculate the same, which is/are as follows -

Turn Rate = [g]*sqrt(Load Factor^2-1)/Flight Velocity

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