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Span Efficiency Factor Formula

GoSpan Efficiency Factor given Induced Drag Coefficient 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 = {(1 + δ)}^{- 1}

e_span - Span Efficiency Factor?δ - Induced Drag Factor?

Span Efficiency Factor Example

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

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

Here is how the Span Efficiency Factor equation looks like.

0.9524 = {(1 + 0.05)}^{- 1}

0.9524 = {(1 + 0.05)}^{- 1}

0.9524 = {(1 + 0.05)}^{- 1}

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Span Efficiency Factor Solution

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

FIRST Step Consider the formula

e span = {(1 + δ)}^{- 1}

Next Step Substitute values of Variables

∴

e span = {(1 + 0.05)}^{- 1}

Next Step Prepare to Evaluate

∴

e span = {(1 + 0.05)}^{- 1}

Next Step Evaluate

∴

e span = 0.952380952380952

LAST Step Rounding Answer

∴

e span = 0.9524

Span Efficiency Factor Formula Elements

Variables

Span Efficiency Factor

Symbol: e_span

Measurement: NAUnit: Unitless

Note: Value should be between 0 to 1.

Formulas to find Span Efficiency Factor

Induced Drag Factor

The Induced Drag Factor is a function of the Fourier series constants which has been used for the general circulation distribution expression for the finite wing.

Symbol: δ

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Induced Drag Factor

Other Formulas to find Span Efficiency Factor

Go Span Efficiency Factor given Induced Drag Coefficient

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

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?

Span Efficiency Factor evaluator uses Span Efficiency Factor = (1+Induced Drag Factor)^(-1) to evaluate the Span Efficiency Factor, The Span efficiency factor 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 using this online evaluator? To use this online evaluator for Span Efficiency Factor, enter Induced Drag Factor (δ) and hit the calculate button.

FAQs on Span Efficiency Factor

What is the formula to find Span Efficiency Factor?

The formula of Span Efficiency Factor is expressed as Span Efficiency Factor = (1+Induced Drag Factor)^(-1). Here is an example- 0.952381 = (1+0.05)^(-1).

How to calculate Span Efficiency Factor?

With Induced Drag Factor (δ) we can find Span Efficiency Factor using the formula - Span Efficiency Factor = (1+Induced Drag Factor)^(-1).

What are the other ways to Calculate Span Efficiency Factor?

Here are the different ways to Calculate Span Efficiency Factor-

Span Efficiency Factor=Lift Coefficient GLD^2/(pi*Wing Aspect Ratio GLD*Induced Drag Coefficient GLD)

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