Load Factor given Turn Radius Calculator

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Aircraft Performance

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✖Flight Velocity refers to the speed at which an aircraft moves through the air.ⓘ Flight Velocity [V]			+10% -10%
✖Turn Radius is the radius of the flight path causing the airplane to turn in a circular path.ⓘ Turn Radius [R]			+10% -10%

✖Load factor is the ratio of the aerodynamic force on the aircraft to the gross weight of the aircraft.ⓘ Load Factor given Turn Radius [n]

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Formula

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Load Factor given Turn Radius

Formula

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

Example

`"1.11"=sqrt(1+(("200m/s")^2/("[g]"*"8466.46m"))^2)`

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Load Factor given Turn Radius Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

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.
Turn Radius - (Measured in Meter) - Turn Radius is the radius of the flight path causing the airplane to turn in a circular path.

STEP 1: Convert Input(s) to Base Unit

Flight Velocity: 200 Meter per Second --> 200 Meter per Second No Conversion Required
Turn Radius: 8466.46 Meter --> 8466.46 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

n = sqrt(1+(V^2/([g]*R))^2) --> sqrt(1+(200^2/([g]*8466.46))^2)

Evaluating ... ...

n = 1.10999994445818

STEP 3: Convert Result to Output's Unit

1.10999994445818 --> No Conversion Required

FINAL ANSWER

1.10999994445818 ≈ 1.11 <-- Load Factor

(Calculation completed in 00.006 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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< 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

Load Factor given Turn Radius Formula

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

Why does load factor increase in a turn?

When you turn, you need to increase your total lift to maintain altitude. You increase your total lift by increasing your angle of attack, which means you're closer to stall than you were in wings-level flight. And, your stall speed increases in proportion to the square root of your load factor.

How to Calculate Load Factor given Turn Radius?

Load Factor given Turn Radius calculator uses Load Factor = sqrt(1+(Flight Velocity^2/([g]*Turn Radius))^2) to calculate the Load Factor, The Load Factor given Turn Radius of the aircraft is a function of the velocity and turn radius of the aircraft. Load Factor is denoted by n symbol.

How to calculate Load Factor given Turn Radius using this online calculator? To use this online calculator for Load Factor given Turn Radius, enter Flight Velocity (V) & Turn Radius (R) and hit the calculate button. Here is how the Load Factor given Turn Radius calculation can be explained with given input values -> 1.11 = sqrt(1+(200^2/([g]*8466.46))^2).

FAQ

What is Load Factor given Turn Radius?

The Load Factor given Turn Radius of the aircraft is a function of the velocity and turn radius of the aircraft and is represented as n = sqrt(1+(V^2/([g]*R))^2) or Load Factor = sqrt(1+(Flight Velocity^2/([g]*Turn Radius))^2). Flight Velocity refers to the speed at which an aircraft moves through the air & Turn Radius is the radius of the flight path causing the airplane to turn in a circular path.

How to calculate Load Factor given Turn Radius?

The Load Factor given Turn Radius of the aircraft is a function of the velocity and turn radius of the aircraft is calculated using Load Factor = sqrt(1+(Flight Velocity^2/([g]*Turn Radius))^2). To calculate Load Factor given Turn Radius, you need Flight Velocity (V) & Turn Radius (R). With our tool, you need to enter the respective value for Flight Velocity & Turn Radius 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 Load Factor?

In this formula, Load Factor uses Flight Velocity & Turn Radius. We can use 2 other way(s) to calculate the same, which is/are as follows -

Load Factor = sqrt((Flight Velocity*Turn Rate/[g])^2+1)
Load Factor = Lift Force/Aircraft Weight

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