Turn rate Calculator

✖Load Factor is the ratio of the aerodynamic force on the aircraft to the gross weight of the aircraft.ⓘ Load Factor [n]			+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.ⓘ Turn rate [ω]

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Turn rate Solution

STEP 0: Pre-Calculation Summary

Formula Used

Turn Rate = [g]*sqrt(Load Factor^2-1)/Flight Velocity
ω = [g]*sqrt(n^2-1)/V
This formula uses 1 Constants, 1 Functions, 3 Variables

Constants Used

[g] - Gravitational acceleration on Earth Value Taken As 9.80665

Functions Used

sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)

Variables Used

Turn Rate - (Measured in Radian per Second) - Turn Rate is the rate at which an aircraft executes a turn expressed in degrees per second.
Load Factor - Load Factor is the ratio of the aerodynamic force on the aircraft to the gross weight of the aircraft.
Flight Velocity - (Measured in Meter per Second) - Flight Velocity refers to the speed at which an aircraft moves through the air.

STEP 1: Convert Input(s) to Base Unit

Load Factor: 1.11 --> No Conversion Required
Flight Velocity: 200 Meter per Second --> 200 Meter per Second No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

ω = [g]*sqrt(n^2-1)/V --> [g]*sqrt(1.11^2-1)/200

Evaluating ... ...

ω = 0.0236226301340697

STEP 3: Convert Result to Output's Unit

0.0236226301340697 Radian per Second -->1.353477007681 Degree per Second (Check conversion here)

FINAL ANSWER

1.353477007681 ≈ 1.353477 Degree per Second <-- Turn Rate

(Calculation completed in 00.008 seconds)

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Credits

Created by Vinay Mishra

Indian Institute for Aeronautical Engineering and Information Technology (IIAEIT), Pune

Vinay Mishra has created this Calculator and 300+ more calculators!

Verified by Shikha Maurya

Indian Institute of Technology (IIT), Bombay

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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

Turn rate Formula

LaTeX Go

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

What is rate of turn?

In turning flight, the number of degrees of heading change per unit of time (usually measured in seconds) is referred to as the rate of turn.

How to Calculate Turn rate?

Turn rate calculator uses Turn Rate = [g]*sqrt(Load Factor^2-1)/Flight Velocity to calculate the Turn Rate, Turn Rate is a measure of the angular velocity of an aircraft during a turn, calculated by considering the gravitational force, load factor, and velocity of the turning flight. Turn Rate is denoted by ω symbol.

How to calculate Turn rate using this online calculator? To use this online calculator for Turn rate, enter Load Factor (n) & Flight Velocity (V) and hit the calculate button. Here is how the Turn rate calculation can be explained with given input values -> 77.54852 = [g]*sqrt(1.11^2-1)/200.

FAQ

What is Turn rate?

Turn Rate is a measure of the angular velocity of an aircraft during a turn, calculated by considering the gravitational force, load factor, and velocity of the turning flight and is represented as ω = [g]*sqrt(n^2-1)/V or Turn Rate = [g]*sqrt(Load Factor^2-1)/Flight Velocity. Load Factor is the ratio of the aerodynamic force on the aircraft to the gross weight of the aircraft & Flight Velocity refers to the speed at which an aircraft moves through the air.

How to calculate Turn rate?

Turn Rate is a measure of the angular velocity of an aircraft during a turn, calculated by considering the gravitational force, load factor, and velocity of the turning flight is calculated using Turn Rate = [g]*sqrt(Load Factor^2-1)/Flight Velocity. To calculate Turn rate, you need Load Factor (n) & Flight Velocity (V). With our tool, you need to enter the respective value for Load Factor & 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 Load Factor & Flight Velocity. We can use 1 other way(s) to calculate the same, which is/are as follows -

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

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