Load Factor given Turn Radius Calculator

✖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 + {(\frac{V^{2}}{[g] \cdot R})}^{2}}

Example

1.11 = \sqrt{1 + {(\frac{{200 m/s}^{2}}{[g] \cdot 8466.46 m})}^{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 00.004 seconds)

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Created by Vinay Mishra

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

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Verified by Shikha Maurya

Indian Institute of Technology (IIT), Bombay

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< Turning Flight Calculators

Load Factor given Turn Radius

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

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

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, Load Factor given Turn Radius is a measure of the increased weight exerted on an object during a turn, taking into account the velocity, turn radius, and acceleration due to gravity, providing a crucial value for aircraft design and flight safety calculations. 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?

Load Factor given Turn Radius is a measure of the increased weight exerted on an object during a turn, taking into account the velocity, turn radius, and acceleration due to gravity, providing a crucial value for aircraft design and flight safety calculations 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?

Load Factor given Turn Radius is a measure of the increased weight exerted on an object during a turn, taking into account the velocity, turn radius, and acceleration due to gravity, providing a crucial value for aircraft design and flight safety calculations 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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