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Span Efficiency Factor given Induced Drag Coefficient Formula

GoSpan Efficiency Factor Formula

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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. Check FAQs

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

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

Span Efficiency Factor given Induced Drag Coefficient Example

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Here is how the Span Efficiency Factor given Induced Drag Coefficient equation looks like with Values.

Here is how the Span Efficiency Factor given Induced Drag Coefficient equation looks like with Units.

Here is how the Span Efficiency Factor given Induced Drag Coefficient equation looks like.

0.9553 = \frac{{1.47}^{2}}{3.1416 \cdot 15 \cdot 0.048}

0.9553 = \frac{{1.47}^{2}}{3.1416 \cdot 15 \cdot 0.048}

0.9553 = \frac{{1.47}^{2}}{3.1416 \cdot 15 \cdot 0.048}

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Span Efficiency Factor given Induced Drag Coefficient Solution

Follow our step by step solution on how to calculate Span Efficiency Factor given Induced Drag Coefficient?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

e span = \frac{{1.47}^{2}}{π \cdot 15 \cdot 0.048}

Next Step Substitute values of Constants

∴

e span = \frac{{1.47}^{2}}{3.1416 \cdot 15 \cdot 0.048}

Next Step Prepare to Evaluate

∴

e span = \frac{{1.47}^{2}}{3.1416 \cdot 15 \cdot 0.048}

Next Step Evaluate

∴

e span = 0.955327545909102

LAST Step Rounding Answer

∴

e span = 0.9553

Span Efficiency Factor given Induced Drag Coefficient Formula Elements

Variables

Constants

Span Efficiency Factor

Symbol: e_span

Measurement: NAUnit: Unitless

Note: Value should be between 0 to 1.

Formulas to find Span Efficiency Factor

Lift Coefficient GLD

The Lift Coefficient GLD 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,GLD

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Lift Coefficient GLD

Wing Aspect Ratio GLD

Wing Aspect Ratio GLD 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_GLD

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Wing Aspect Ratio GLD

Induced Drag Coefficient GLD

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

Symbol: C_D,i,GLD

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Induced Drag Coefficient GLD

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 Span Efficiency Factor

Go Span Efficiency Factor

e span = {(1 + δ)}^{- 1}

Other formulas in General Lift Distribution category

Go Induced Drag Factor given Span Efficiency Factor

δ = {e span}^{- 1} - 1

Go Lift Coefficient given Span Efficiency Factor

C L,GLD = \sqrt{π \cdot e span \cdot AR GLD \cdot C D,i,GLD}

Go Induced Drag Coefficient given Span Efficiency Factor

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

Go Induced Lift Slope Factor given Lift Curve Slope of Finite Wing

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

How to Evaluate Span Efficiency Factor given Induced Drag Coefficient?

Span Efficiency Factor given Induced Drag Coefficient evaluator uses Span Efficiency Factor = Lift Coefficient GLD^2/(pi*Wing Aspect Ratio GLD*Induced Drag Coefficient GLD) to evaluate the Span Efficiency Factor, The Span efficiency factor given induced drag coefficient formula calculates the span efficiency factor which represents the change in drag with a lift of a three-dimensional wing or airplane, as compared with an ideal wing having the same aspect ratio and an elliptical lift distribution. Span Efficiency Factor is denoted by e_span symbol.

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

FAQs on Span Efficiency Factor given Induced Drag Coefficient

What is the formula to find Span Efficiency Factor given Induced Drag Coefficient?

The formula of Span Efficiency Factor given Induced Drag Coefficient is expressed as Span Efficiency Factor = Lift Coefficient GLD^2/(pi*Wing Aspect Ratio GLD*Induced Drag Coefficient GLD). Here is an example- 1.146393 = 1.47^2/(pi*15*0.048).

How to calculate Span Efficiency Factor given Induced Drag Coefficient?

With Lift Coefficient GLD (C_L,GLD), Wing Aspect Ratio GLD (AR_GLD) & Induced Drag Coefficient GLD (C_D,i,GLD) we can find Span Efficiency Factor given Induced Drag Coefficient using the formula - Span Efficiency Factor = Lift Coefficient GLD^2/(pi*Wing Aspect Ratio GLD*Induced Drag Coefficient GLD). This formula also uses Archimedes' constant .

What are the other ways to Calculate Span Efficiency Factor?

Here are the different ways to Calculate Span Efficiency Factor-

Span Efficiency Factor=(1+Induced Drag Factor)^(-1)

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Span Efficiency Factor given Induced Drag Coefficient Formula

​GoSpan Efficiency Factor Formula

Span Efficiency Factor given Induced Drag Coefficient Example

Span Efficiency Factor given Induced Drag Coefficient Solution

Span Efficiency Factor given Induced Drag Coefficient Formula Elements

Other Formulas to find Span Efficiency Factor

Other formulas in General Lift Distribution category

How to Evaluate Span Efficiency Factor given Induced Drag Coefficient?

FAQs on Span Efficiency Factor given Induced Drag Coefficient

Variable Name

GoSpan Efficiency Factor Formula