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Load Factor given Turn Radius Formula

GoLoad Factor given Turn Rate Formula

GoLoad factor given Lift Force and Weight of Aircraft Formula

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Load Factor is the ratio of the aerodynamic force on the aircraft to the gross weight of the aircraft. Check FAQs

n = \sqrt{1 + {(\frac{V^{2}}{[g] \cdot R})}^{2}}

n - Load Factor?V - Flight Velocity?R - Turn Radius?[g] - Gravitational acceleration on Earth?

Load Factor given Turn Radius Example

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Here is how the Load Factor given Turn Radius equation looks like with Values.

Here is how the Load Factor given Turn Radius equation looks like with Units.

Here is how the Load Factor given Turn Radius equation looks like.

1.11 = \sqrt{1 + {(\frac{200^{2}}{9.8066 \cdot 8466.46})}^{2}}

1.11 = \sqrt{1 + {(\frac{{200m/s}^{2}}{9.8066m/s² \cdot 8466.46m})}^{2}}

1.11 = \sqrt{1 + {(\frac{200^{2}}{9.8066 \cdot 8466.46})}^{2}}

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Load Factor given Turn Radius Solution

Follow our step by step solution on how to calculate Load Factor given Turn Radius?

FIRST Step Consider the formula

n = \sqrt{1 + {(\frac{V^{2}}{[g] \cdot R})}^{2}}

Next Step Substitute values of Variables

∴

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

Next Step Substitute values of Constants

∴

n = \sqrt{1 + {(\frac{{200m/s}^{2}}{9.8066m/s² \cdot 8466.46m})}^{2}}

Next Step Prepare to Evaluate

∴

n = \sqrt{1 + {(\frac{200^{2}}{9.8066 \cdot 8466.46})}^{2}}

Next Step Evaluate

∴

n = 1.10999994445818

LAST Step Rounding Answer

∴

n = 1.11

Load Factor given Turn Radius Formula Elements

Variables

Constants

Functions

Load Factor

Load Factor is the ratio of the aerodynamic force on the aircraft to the gross weight of the aircraft.

Symbol: n

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Load Factor

Flight Velocity

Flight Velocity refers to the speed at which an aircraft moves through the air.

Symbol: V

Measurement: SpeedUnit: m/s

Note: Value should be greater than 0.

Formulas to find Flight Velocity

Turn Radius

Turn Radius is the radius of the flight path causing the airplane to turn in a circular path.

Symbol: R

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Turn Radius

Gravitational acceleration on Earth

Gravitational acceleration on Earth means that the velocity of an object in free fall will increase by 9.8 m/s2 every second.

Symbol: [g]

Value: 9.80665 m/s²

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.

Syntax: sqrt(Number)

Other Formulas to find Load Factor

Go Load Factor given Turn Rate

n = \sqrt{{(V \cdot \frac{ω}{[g]})}^{2} + 1}

Go Load factor given Lift Force and Weight of Aircraft

n = \frac{F L}{W}

Other formulas in Turning Flight category

Go Velocity for given turn rate

V = [g] \cdot \frac{\sqrt{n^{2} - 1}}{ω}

Go Turn rate

ω = [g] \cdot \frac{\sqrt{n^{2} - 1}}{V}

Go Lift for given Load Factor

F L = n \cdot W

Go Weight for given Load Factor

W = \frac{F L}{n}

How to Evaluate Load Factor given Turn Radius?

Load Factor given Turn Radius evaluator uses Load Factor = sqrt(1+(Flight Velocity^2/([g]*Turn Radius))^2) to evaluate 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 evaluate Load Factor given Turn Radius using this online evaluator? To use this online evaluator for Load Factor given Turn Radius, enter Flight Velocity (V) & Turn Radius (R) and hit the calculate button.

FAQs on Load Factor given Turn Radius

What is the formula to find Load Factor given Turn Radius?

The formula of Load Factor given Turn Radius is expressed as Load Factor = sqrt(1+(Flight Velocity^2/([g]*Turn Radius))^2). Here is an example- 1.11 = sqrt(1+(200^2/([g]*8466.46))^2).

How to calculate Load Factor given Turn Radius?

With Flight Velocity (V) & Turn Radius (R) we can find Load Factor given Turn Radius using the formula - Load Factor = sqrt(1+(Flight Velocity^2/([g]*Turn Radius))^2). This formula also uses Gravitational acceleration on Earth constant(s) and Square Root (sqrt) function(s).

What are the other ways to Calculate Load Factor?

Here are the different ways to Calculate Load Factor-

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

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: Value
: Unit

Load Factor given Turn Radius Formula

​GoLoad Factor given Turn Rate Formula

​GoLoad factor given Lift Force and Weight of Aircraft Formula

Load Factor given Turn Radius Example

Load Factor given Turn Radius Solution

Load Factor given Turn Radius Formula Elements

Other Formulas to find Load Factor

Other formulas in Turning Flight category

How to Evaluate Load Factor given Turn Radius?

FAQs on Load Factor given Turn Radius

Variable Name

GoLoad Factor given Turn Rate Formula

GoLoad factor given Lift Force and Weight of Aircraft Formula