Turn radius Calculator

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Aircraft Performance

Aircraft Design

Introduction and Governing Equations

Static Stability and Control

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✖Flight Velocity refers to the speed at which an aircraft moves through the air.ⓘ Flight Velocity [V]			+10% -10%
✖Load factor is the ratio of the aerodynamic force on the aircraft to the gross weight of the aircraft.ⓘ Load Factor [n]			+10% -10%

✖Turn Radius is the radius of the flight path causing the airplane to turn in a circular path.ⓘ Turn radius [R]

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Formula

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Turn radius

Formula

`"R" = "V"^2/("[g]"*sqrt(("n"^2)-1))`

Example

`"8466.458m"=("200m/s")^2/("[g]"*sqrt((("1.11")^2)-1))`

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Turn radius Solution

STEP 0: Pre-Calculation Summary

Formula Used

Turn Radius = Flight Velocity^2/([g]*sqrt((Load Factor^2)-1))
R = V^2/([g]*sqrt((n^2)-1))
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 Radius - (Measured in Meter) - Turn Radius is the radius of the flight path causing the airplane to turn in a circular path.
Flight Velocity - (Measured in Meter per Second) - Flight Velocity refers to the speed at which an aircraft moves through the air.
Load Factor - Load factor is the ratio of the aerodynamic force on the aircraft to the gross weight of the aircraft.

STEP 1: Convert Input(s) to Base Unit

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

STEP 2: Evaluate Formula

Substituting Input Values in Formula

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

Evaluating ... ...

R = 8466.45775110158

STEP 3: Convert Result to Output's Unit

8466.45775110158 Meter --> No Conversion Required

FINAL ANSWER

8466.45775110158 ≈ 8466.458 Meter <-- Turn Radius

(Calculation completed in 00.004 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 Sai Venkata Phanindra Chary Arendra

Vallurupalli Nageswara Rao Vignana Jyothi Institute of Engineering and Technology (VNRVJIET), 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

Turn radius Formula

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

What are the four basic flight maneuvers?

An airplane rotates in bank, pitch, and yaw while also moving horizontally, vertically, and laterally. The four fundamentals (straight-and-level flight, turns, climbs, and descents) are the principle maneuvers that control the airplane through the six motions of flight.

How to Calculate Turn radius?

Turn radius calculator uses Turn Radius = Flight Velocity^2/([g]*sqrt((Load Factor^2)-1)) to calculate the Turn Radius, The Turn radius of an aircraft in level turn is a function of the velocity and load factor of the aircraft. Turn Radius is denoted by R symbol.

How to calculate Turn radius using this online calculator? To use this online calculator for Turn radius, enter Flight Velocity (V) & Load Factor (n) and hit the calculate button. Here is how the Turn radius calculation can be explained with given input values -> 4910.376 = 200^2/([g]*sqrt((1.11^2)-1)).

FAQ

What is Turn radius?

The Turn radius of an aircraft in level turn is a function of the velocity and load factor of the aircraft and is represented as R = V^2/([g]*sqrt((n^2)-1)) or Turn Radius = Flight Velocity^2/([g]*sqrt((Load Factor^2)-1)). Flight Velocity refers to the speed at which an aircraft moves through the air & Load factor is the ratio of the aerodynamic force on the aircraft to the gross weight of the aircraft.

How to calculate Turn radius?

The Turn radius of an aircraft in level turn is a function of the velocity and load factor of the aircraft is calculated using Turn Radius = Flight Velocity^2/([g]*sqrt((Load Factor^2)-1)). To calculate Turn radius, you need Flight Velocity (V) & Load Factor (n). With our tool, you need to enter the respective value for Flight Velocity & Load Factor and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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