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Aspect Ratio given Span Efficiency Factor Formula

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

GoAspect Ratio of Wing given Lift Curve Slope of 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{{C L}^{2}}{π \cdot e span \cdot C D,i}

AR - Wing Aspect Ratio?C_L - Lift Coefficient?e_span - Span Efficiency Factor?C_D,i - Induced Drag Coefficient?π - Archimedes' constant?

Aspect Ratio given Span Efficiency Factor Example

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Here is how the Aspect Ratio given Span Efficiency Factor equation looks like with Values.

Here is how the Aspect Ratio given Span Efficiency Factor equation looks like with Units.

Here is how the Aspect Ratio given Span Efficiency Factor equation looks like.

15.0309 = \frac{{1.2}^{2}}{3.1416 \cdot 0.95 \cdot 0.0321}

15.0309 = \frac{{1.2}^{2}}{3.1416 \cdot 0.95 \cdot 0.0321}

15.0309 = \frac{{1.2}^{2}}{3.1416 \cdot 0.95 \cdot 0.0321}

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Aspect Ratio given Span Efficiency Factor Solution

Follow our step by step solution on how to calculate Aspect Ratio given Span Efficiency Factor?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

AR = \frac{{1.2}^{2}}{π \cdot 0.95 \cdot 0.0321}

Next Step Substitute values of Constants

∴

AR = \frac{{1.2}^{2}}{3.1416 \cdot 0.95 \cdot 0.0321}

Next Step Prepare to Evaluate

∴

AR = \frac{{1.2}^{2}}{3.1416 \cdot 0.95 \cdot 0.0321}

Next Step Evaluate

∴

AR = 15.0308652600314

LAST Step Rounding Answer

∴

AR = 15.0309

Aspect Ratio given Span Efficiency Factor 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

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

Span Efficiency Factor

Span Efficiency Factor represents the change in drag with lift of a three-dimensional wing or airplane, as compared with an ideal wing having the same aspect ratio and an elliptical lift distribution.

Symbol: e_span

Measurement: NAUnit: Unitless

Note: Value should be between 0 to 1.

Formulas to find Span Efficiency Factor

Induced Drag Coefficient

The Induced Drag Coefficient is a dimensionless parameter that describes a relation between the coefficient of the lift and the aspect ratio.

Symbol: C_D,i

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Induced Drag Coefficient

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 of Wing given Lift Curve Slope of Elliptic Finite Wing

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

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

AR = \frac{a 0 \cdot (1 + τ)}{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 given Span Efficiency Factor?

Aspect Ratio given Span Efficiency Factor evaluator uses Wing Aspect Ratio = Lift Coefficient^2/(pi*Span Efficiency Factor*Induced Drag Coefficient) to evaluate the Wing Aspect Ratio, The Aspect Ratio given Span Efficiency Factor formula calculates the aspect ratio of the wing for the actual lift distribution which is a function of the Fourier series, by using the span efficiency factor. Wing Aspect Ratio is denoted by AR symbol.

How to evaluate Aspect Ratio given Span Efficiency Factor using this online evaluator? To use this online evaluator for Aspect Ratio given Span Efficiency Factor, enter Lift Coefficient (C_L), Span Efficiency Factor (e_span) & Induced Drag Coefficient (C_D,i) and hit the calculate button.

FAQs on Aspect Ratio given Span Efficiency Factor

What is the formula to find Aspect Ratio given Span Efficiency Factor?

The formula of Aspect Ratio given Span Efficiency Factor is expressed as Wing Aspect Ratio = Lift Coefficient^2/(pi*Span Efficiency Factor*Induced Drag Coefficient). Here is an example- 10.05189 = 1.2^2/(pi*0.95*0.0321).

How to calculate Aspect Ratio given Span Efficiency Factor?

With Lift Coefficient (C_L), Span Efficiency Factor (e_span) & Induced Drag Coefficient (C_D,i) we can find Aspect Ratio given Span Efficiency Factor using the formula - Wing Aspect Ratio = Lift Coefficient^2/(pi*Span Efficiency Factor*Induced Drag Coefficient). 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=2D Lift Curve Slope/(pi*(2D Lift Curve Slope/Lift Curve Slope-1))
Wing Aspect Ratio=(2D Lift Curve Slope*(1+Induced Lift Slope Factor))/(pi*(2D Lift Curve Slope/Lift Curve Slope-1))

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Aspect Ratio given Span Efficiency Factor Formula

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

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

Aspect Ratio given Span Efficiency Factor Example

Aspect Ratio given Span Efficiency Factor Solution

Aspect Ratio given Span Efficiency Factor Formula Elements

Other Formulas to find Wing Aspect Ratio

Other formulas in Flow over Wings category

How to Evaluate Aspect Ratio given Span Efficiency Factor?

FAQs on Aspect Ratio given Span Efficiency Factor

Variable Name

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

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