Rate of Turn Calculator

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Aircraft Performance

Aircraft Design

Introduction and Governing Equations

Static Stability and Control

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✖Bank angle is the angle between the lift vector and the vertical 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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Formula

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Rate of Turn

Formula

`"ω" = 1091*tan("Φ")/"V"`

Example

`"1.355595degree/s"=1091*tan("0.45rad")/"200m/s"`

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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 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 00.004 seconds)

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Created by Kaki Varun Krishna

Mahatma Gandhi Institute of Technology (MGIT), Hyderabad

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< 13 Turning Flight Calculators

Velocity for given turn radius

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

Load Factor given Turn Radius

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

Turn radius

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

Load Factor given Turn Rate

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

Velocity for given turn rate

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

Turn rate

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

Rate of Turn

Go Turn Rate = 1091*tan(Bank angle)/Flight Velocity

Bank angle during level turn

Go Bank angle = acos(Aircraft Weight/Lift Force)

Weight of aircraft during level turn

Go Aircraft Weight = Lift Force*cos(Bank angle)

Lift during level turn

Go Lift Force = Aircraft Weight/cos(Bank angle)

Load factor given Lift Force and Weight of Aircraft

Go Load Factor = Lift Force/Aircraft Weight

Weight for given Load Factor

Go Aircraft Weight = Lift Force/Load Factor

Lift for given load factor

Go Lift Force = Load Factor*Aircraft Weight

Rate of Turn Formula

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 (ROT) is the number of degrees (expressed in degrees per second) of heading change that an aircraft makes. 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 (ROT) is the number of degrees (expressed in degrees per second) of heading change that an aircraft makes 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 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 (ROT) is the number of degrees (expressed in degrees per second) of heading change that an aircraft makes 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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