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Wing Loading for given Turn Rate Formula

GoWing Loading for given Turn Radius 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 = ({[g]}^{2}) \cdot ρ ∞ \cdot C L \cdot \frac{n}{2 \cdot (ω^{2})}

W_S - Wing Loading?ρ_∞ - Freestream Density?C_L - Lift Coefficient?n - Load Factor?ω - Turn Rate?[g] - Gravitational acceleration on Earth?

Wing Loading for given Turn Rate Example

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

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

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

354.6108 = ({9.8066}^{2}) \cdot 1.225 \cdot 0.002 \cdot \frac{1.2}{2 \cdot ({1.144}^{2})}

354.6108Pa = ({9.8066m/s²}^{2}) \cdot 1.225kg/m³ \cdot 0.002 \cdot \frac{1.2}{2 \cdot ({1.144degree/s}^{2})}

354.6108 = ({9.8066}^{2}) \cdot 1.225 \cdot 0.002 \cdot \frac{1.2}{2 \cdot ({1.144}^{2})}

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Wing Loading for given Turn Rate Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

W S = ({[g]}^{2}) \cdot 1.225kg/m³ \cdot 0.002 \cdot \frac{1.2}{2 \cdot ({1.144degree/s}^{2})}

Next Step Substitute values of Constants

∴

W S = ({9.8066m/s²}^{2}) \cdot 1.225kg/m³ \cdot 0.002 \cdot \frac{1.2}{2 \cdot ({1.144degree/s}^{2})}

Next Step Convert Units

∴

W S = ({9.8066m/s²}^{2}) \cdot 1.225kg/m³ \cdot 0.002 \cdot \frac{1.2}{2 \cdot ({0.02rad/s}^{2})}

Next Step Prepare to Evaluate

∴

W S = ({9.8066}^{2}) \cdot 1.225 \cdot 0.002 \cdot \frac{1.2}{2 \cdot ({0.02}^{2})}

Next Step Evaluate

∴

W S = 354.610753867053Pa

LAST Step Rounding Answer

∴

W S = 354.6108Pa

Wing Loading for given Turn Rate 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

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

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 can be positive or negative.

Formulas to find Load Factor

Turn Rate

Turn Rate is the rate at which an aircraft executes a turn expressed in degrees per second.

Symbol: ω

Measurement: Angular VelocityUnit: degree/s

Note: Value should be greater than 0.

Formulas to find Turn Rate

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 Radius

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

Wing Loading for given Turn Rate evaluator uses Wing Loading = ([g]^2)*Freestream Density*Lift Coefficient*Load Factor/(2*(Turn Rate^2)) to evaluate the Wing Loading, The Wing Loading for given Turn Rate refers to the weight supported by the aircraft's wings per unit area, this formula computes the wing loading required to sustain the specified turn rate under given aerodynamic conditions, it leverages the balance between lift and gravitational forces during the turn. Wing Loading is denoted by W_S symbol.

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

FAQs on Wing Loading for given Turn Rate

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

The formula of Wing Loading for given Turn Rate is expressed as Wing Loading = ([g]^2)*Freestream Density*Lift Coefficient*Load Factor/(2*(Turn Rate^2)). Here is an example- 354.6108 = ([g]^2)*1.225*0.002*1.2/(2*(0.0199665666428114^2)).

How to calculate Wing Loading for given Turn Rate?

With Freestream Density (ρ_∞), Lift Coefficient (C_L), Load Factor (n) & Turn Rate (ω) we can find Wing Loading for given Turn Rate using the formula - Wing Loading = ([g]^2)*Freestream Density*Lift Coefficient*Load Factor/(2*(Turn Rate^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=(Turn Radius*Freestream Density*Lift Coefficient*[g])/2

Can the Wing Loading for given Turn Rate be negative?

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

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

Wing Loading for given Turn Rate 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 Rate can be measured.

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Wing Loading for given Turn Rate Formula

​GoWing Loading for given Turn Radius Formula

Wing Loading for given Turn Rate Example

Wing Loading for given Turn Rate Solution

Wing Loading for given Turn Rate Formula Elements

Other Formulas to find Wing Loading

Other formulas in High Load Factor Maneuver category

How to Evaluate Wing Loading for given Turn Rate?

FAQs on Wing Loading for given Turn Rate

Variable Name

GoWing Loading for given Turn Radius Formula