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Aspect Ratio of Wing given Lift Curve Slope of Finite Wing Formula

GoAspect Ratio given Span Efficiency Factor Formula

GoAspect Ratio of Wing given Lift Curve Slope of Elliptic Finite Wing Formula

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Wing Aspect Ratio is defined as the ratio of the square of wingspan to the wing area or wingspan over wing chord for a rectangular planform. Check FAQs

AR = \frac{a 0 \cdot (1 + τ)}{π \cdot (\frac{a 0}{a C,l} - 1)}

AR - Wing Aspect Ratio?a₀ - 2D Lift Curve Slope?τ - Induced Lift Slope Factor?a_C,l - Lift Curve Slope?π - Archimedes' constant?

Aspect Ratio of Wing given Lift Curve Slope of Finite Wing Example

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Here is how the Aspect Ratio of Wing given Lift Curve Slope of Finite Wing equation looks like with Values.

Here is how the Aspect Ratio of Wing given Lift Curve Slope of Finite Wing equation looks like with Units.

Here is how the Aspect Ratio of Wing given Lift Curve Slope of Finite Wing equation looks like.

15.7885 = \frac{6.28 \cdot (1 + 0.055)}{3.1416 \cdot (\frac{6.28}{5.54} - 1)}

15.7885 = \frac{6.28rad⁻¹ \cdot (1 + 0.055)}{3.1416 \cdot (\frac{6.28rad⁻¹}{5.54rad⁻¹} - 1)}

15.7885 = \frac{6.28 \cdot (1 + 0.055)}{3.1416 \cdot (\frac{6.28}{5.54} - 1)}

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Aspect Ratio of Wing given Lift Curve Slope of Finite Wing Solution

Follow our step by step solution on how to calculate Aspect Ratio of Wing given Lift Curve Slope of Finite Wing?

FIRST Step Consider the formula

AR = \frac{a 0 \cdot (1 + τ)}{π \cdot (\frac{a 0}{a C,l} - 1)}

Next Step Substitute values of Variables

∴

AR = \frac{6.28rad⁻¹ \cdot (1 + 0.055)}{π \cdot (\frac{6.28rad⁻¹}{5.54rad⁻¹} - 1)}

Next Step Substitute values of Constants

∴

AR = \frac{6.28rad⁻¹ \cdot (1 + 0.055)}{3.1416 \cdot (\frac{6.28rad⁻¹}{5.54rad⁻¹} - 1)}

Next Step Prepare to Evaluate

∴

AR = \frac{6.28 \cdot (1 + 0.055)}{3.1416 \cdot (\frac{6.28}{5.54} - 1)}

Next Step Evaluate

∴

AR = 15.7884783410383

LAST Step Rounding Answer

∴

AR = 15.7885

Aspect Ratio of Wing given Lift Curve Slope of Finite Wing Formula Elements

Variables

Constants

Wing Aspect Ratio

Wing Aspect Ratio is defined as the ratio of the square of wingspan to the wing area or wingspan over wing chord for a rectangular planform.

Symbol: AR

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Wing Aspect Ratio

2D Lift Curve Slope

The 2D Lift Curve Slope is a measure of how rapidly the airfoil generates lift with a change in angle of attack.

Symbol: a₀

Measurement: Reciprocal AngleUnit: rad⁻¹

Note: Value can be positive or negative.

Formulas to find 2D Lift Curve Slope

Induced Lift Slope Factor

The Induced Lift Slope Factor is a function of the Fourier coefficients which have been used for the lift curve slope expression for the finite wing of the general planform.

Symbol: τ

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Induced Lift Slope Factor

Lift Curve Slope

The Lift Curve Slope is a measure of how rapidly the wing generates lift with a change in the angle of attack.

Symbol: a_C,l

Measurement: Reciprocal AngleUnit: rad⁻¹

Note: Value can be positive or negative.

Formulas to find Lift Curve Slope

Archimedes' constant

Archimedes' constant is a mathematical constant that represents the ratio of the circumference of a circle to its diameter.

Symbol: π

Value: 3.14159265358979323846264338327950288

Other Formulas to find Wing Aspect Ratio

Go Aspect Ratio given Span Efficiency Factor

AR = \frac{{C L}^{2}}{π \cdot e span \cdot C D,i}

Go Aspect Ratio of Wing given Lift Curve Slope of Elliptic Finite Wing

AR = \frac{a 0}{π \cdot (\frac{a 0}{a C,l} - 1)}

Other formulas in Flow over Wings category

Go Effective Angle of Attack of Finite Wing

α eff = α g - α i

Go 2D Lift Curve Slope of Airfoil given Lift Slope of Finite Wing

a 0 = \frac{a C,l}{1 - \frac{a C,l \cdot (1 + τ)}{π \cdot AR}}

Go 2D Lift Curve Slope of Airfoil given Lift Slope of Elliptic Finite Wing

a 0 = \frac{a C,l}{1 - \frac{a C,l}{π \cdot AR}}

Go Oswald Efficiency Factor

e osw = 1.78 \cdot (1 - 0.045 \cdot {AR}^{0.68}) - 0.64

How to Evaluate Aspect Ratio of Wing given Lift Curve Slope of Finite Wing?

Aspect Ratio of Wing given Lift Curve Slope of Finite Wing evaluator uses Wing Aspect Ratio = (2D Lift Curve Slope*(1+Induced Lift Slope Factor))/(pi*(2D Lift Curve Slope/Lift Curve Slope-1)) to evaluate the Wing Aspect Ratio, The Aspect Ratio of Wing given Lift Curve Slope of Finite Wing formula calculates the aspect ratio of the wing for the actual lift distribution which is a function of the Fourier series, by using the lift curve slope of the finite wing. Wing Aspect Ratio is denoted by AR symbol.

How to evaluate Aspect Ratio of Wing given Lift Curve Slope of Finite Wing using this online evaluator? To use this online evaluator for Aspect Ratio of Wing given Lift Curve Slope of Finite Wing, enter 2D Lift Curve Slope (a₀), Induced Lift Slope Factor (τ) & Lift Curve Slope (a_C,l) and hit the calculate button.

FAQs on Aspect Ratio of Wing given Lift Curve Slope of Finite Wing

What is the formula to find Aspect Ratio of Wing given Lift Curve Slope of Finite Wing?

The formula of Aspect Ratio of Wing given Lift Curve Slope of Finite Wing is expressed as Wing Aspect Ratio = (2D Lift Curve Slope*(1+Induced Lift Slope Factor))/(pi*(2D Lift Curve Slope/Lift Curve Slope-1)). Here is an example- 15.78848 = (6.28*(1+0.055))/(pi*(6.28/5.54-1)).

How to calculate Aspect Ratio of Wing given Lift Curve Slope of Finite Wing?

With 2D Lift Curve Slope (a₀), Induced Lift Slope Factor (τ) & Lift Curve Slope (a_C,l) we can find Aspect Ratio of Wing given Lift Curve Slope of Finite Wing using the formula - Wing Aspect Ratio = (2D Lift Curve Slope*(1+Induced Lift Slope Factor))/(pi*(2D Lift Curve Slope/Lift Curve Slope-1)). This formula also uses Archimedes' constant .

What are the other ways to Calculate Wing Aspect Ratio?

Here are the different ways to Calculate Wing Aspect Ratio-

Wing Aspect Ratio=Lift Coefficient^2/(pi*Span Efficiency Factor*Induced Drag Coefficient)
Wing Aspect Ratio=2D Lift Curve Slope/(pi*(2D Lift Curve Slope/Lift Curve Slope-1))

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Aspect Ratio of Wing given Lift Curve Slope of Finite Wing Formula

​GoAspect Ratio given Span Efficiency Factor Formula

​GoAspect Ratio of Wing given Lift Curve Slope of Elliptic Finite Wing Formula

Aspect Ratio of Wing given Lift Curve Slope of Finite Wing Example

Aspect Ratio of Wing given Lift Curve Slope of Finite Wing Solution

Aspect Ratio of Wing given Lift Curve Slope of Finite Wing Formula Elements

Other Formulas to find Wing Aspect Ratio

Other formulas in Flow over Wings category

How to Evaluate Aspect Ratio of Wing given Lift Curve Slope of Finite Wing?

FAQs on Aspect Ratio of Wing given Lift Curve Slope of Finite Wing

Variable Name

GoAspect Ratio given Span Efficiency Factor Formula

GoAspect Ratio of Wing given Lift Curve Slope of Elliptic Finite Wing Formula