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Wing Loading for given Turn Radius Formula

GoWing Loading for given Turn Rate Formula

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Wing Loading is the loaded weight of the aircraft divided by the area of the wing. Check FAQs

W S = \frac{R \cdot ρ ∞ \cdot C L \cdot [g]}{2}

W_S - Wing Loading?R - Turn Radius?ρ_∞ - Freestream Density?C_L - Lift Coefficient?[g] - Gravitational acceleration on Earth?

Wing Loading for given Turn Radius Example

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Here is how the Wing Loading for given Turn Radius equation looks like with Values.

Here is how the Wing Loading for given Turn Radius equation looks like with Units.

Here is how the Wing Loading for given Turn Radius equation looks like.

354.3308 = \frac{29495.25 \cdot 1.225 \cdot 0.002 \cdot 9.8066}{2}

354.3308Pa = \frac{29495.25m \cdot 1.225kg/m³ \cdot 0.002 \cdot 9.8066m/s²}{2}

354.3308 = \frac{29495.25 \cdot 1.225 \cdot 0.002 \cdot 9.8066}{2}

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Wing Loading for given Turn Radius Solution

Follow our step by step solution on how to calculate Wing Loading for given Turn Radius?

FIRST Step Consider the formula

W S = \frac{R \cdot ρ ∞ \cdot C L \cdot [g]}{2}

Next Step Substitute values of Variables

∴

W S = \frac{29495.25m \cdot 1.225kg/m³ \cdot 0.002 \cdot [g]}{2}

Next Step Substitute values of Constants

∴

W S = \frac{29495.25m \cdot 1.225kg/m³ \cdot 0.002 \cdot 9.8066m/s²}{2}

Next Step Prepare to Evaluate

∴

W S = \frac{29495.25 \cdot 1.225 \cdot 0.002 \cdot 9.8066}{2}

Next Step Evaluate

∴

W S = 354.330751930312Pa

LAST Step Rounding Answer

∴

W S = 354.3308Pa

Wing Loading for given Turn Radius Formula Elements

Variables

Constants

Wing Loading

Wing Loading is the loaded weight of the aircraft divided by the area of the wing.

Symbol: W_S

Measurement: PressureUnit: Pa

Note: Value should be greater than 0.

Formulas to find Wing Loading

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

Freestream Density

Freestream Density is the mass per unit volume of air far upstream of an aerodynamic body at a given altitude.

Symbol: ρ_∞

Measurement: DensityUnit: kg/m³

Note: Value can be positive or negative.

Formulas to find Freestream Density

Lift Coefficient

The Lift Coefficient is a dimensionless coefficient that relates the lift generated by a lifting body to the fluid density around the body, the fluid velocity and an associated reference area.

Symbol: C_L

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Lift Coefficient

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

Other Formulas to find Wing Loading

Go Wing Loading for given Turn Rate

W S = ({[g]}^{2}) \cdot ρ ∞ \cdot C L \cdot \frac{n}{2 \cdot (ω^{2})}

Other formulas in High Load Factor Maneuver category

Go Turn radius for high load factor

R = \frac{v^{2}}{[g] \cdot n}

Go Velocity given Turn Radius for High Load Factor

v = \sqrt{R \cdot n \cdot [g]}

Go Load factor for given turn radius for high-performance fighter aircraft

n = \frac{v^{2}}{[g] \cdot R}

Go Turn Rate for High Load Factor

ω = [g] \cdot \frac{n}{v}

How to Evaluate Wing Loading for given Turn Radius?

Wing Loading for given Turn Radius evaluator uses Wing Loading = (Turn Radius*Freestream Density*Lift Coefficient*[g])/2 to evaluate the Wing Loading, The Wing Loading for given Turn Radius is the amount of weight supported by the aircraft's wings per unit area, required to sustain a specific turn radius. This formula calculates wing loading based on turn radius, freestream density, lift coefficient, and gravitational acceleration. Understanding and applying this formula is essential for pilots and engineers in optimizing aircraft maneuverability and ensuring structural integrity during turns. Wing Loading is denoted by W_S symbol.

How to evaluate Wing Loading for given Turn Radius using this online evaluator? To use this online evaluator for Wing Loading for given Turn Radius, enter Turn Radius (R), Freestream Density (ρ_∞) & Lift Coefficient (C_L) and hit the calculate button.

FAQs on Wing Loading for given Turn Radius

What is the formula to find Wing Loading for given Turn Radius?

The formula of Wing Loading for given Turn Radius is expressed as Wing Loading = (Turn Radius*Freestream Density*Lift Coefficient*[g])/2. Here is an example- 354.3308 = (29495.25*1.225*0.002*[g])/2.

How to calculate Wing Loading for given Turn Radius?

With Turn Radius (R), Freestream Density (ρ_∞) & Lift Coefficient (C_L) we can find Wing Loading for given Turn Radius using the formula - Wing Loading = (Turn Radius*Freestream Density*Lift Coefficient*[g])/2. This formula also uses Gravitational acceleration on Earth constant(s).

What are the other ways to Calculate Wing Loading?

Here are the different ways to Calculate Wing Loading-

Wing Loading=([g]^2)*Freestream Density*Lift Coefficient*Load Factor/(2*(Turn Rate^2))

Can the Wing Loading for given Turn Radius be negative?

No, the Wing Loading for given Turn Radius, measured in Pressure cannot be negative.

Which unit is used to measure Wing Loading for given Turn Radius?

Wing Loading for given Turn Radius is usually measured using the Pascal[Pa] for Pressure. Kilopascal[Pa], Bar[Pa], Pound Per Square Inch[Pa] are the few other units in which Wing Loading for given Turn Radius can be measured.

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Wing Loading for given Turn Radius Formula

​GoWing Loading for given Turn Rate Formula

Wing Loading for given Turn Radius Example

Wing Loading for given Turn Radius Solution

Wing Loading for given Turn Radius Formula Elements

Other Formulas to find Wing Loading

Other formulas in High Load Factor Maneuver category

How to Evaluate Wing Loading for given Turn Radius?

FAQs on Wing Loading for given Turn Radius

Variable Name

GoWing Loading for given Turn Rate Formula