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

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The Induced Lift Slope Factor of Finite Wing 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. Check FAQs

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

τ_FW - Induced Lift Slope Factor of Finite Wing?AR_GLD - Wing Aspect Ratio GLD?a₀ - 2D Lift Curve Slope?a_C,l - Lift Curve Slope?π - Archimedes' constant?

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

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

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

Here is how the Induced Lift Slope Factor given Lift Curve Slope of Finite Wing equation looks like.

0.0023 = \frac{3.1416 \cdot 15 \cdot (\frac{6.28}{5.54} - 1)}{6.28} - 1

0.0023 = \frac{3.1416 \cdot 15 \cdot (\frac{6.28rad⁻¹}{5.54rad⁻¹} - 1)}{6.28rad⁻¹} - 1

0.0023 = \frac{3.1416 \cdot 15 \cdot (\frac{6.28}{5.54} - 1)}{6.28} - 1

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

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

τ FW = \frac{π \cdot 15 \cdot (\frac{6.28rad⁻¹}{5.54rad⁻¹} - 1)}{6.28rad⁻¹} - 1

Next Step Substitute values of Constants

∴

τ FW = \frac{3.1416 \cdot 15 \cdot (\frac{6.28rad⁻¹}{5.54rad⁻¹} - 1)}{6.28rad⁻¹} - 1

Next Step Prepare to Evaluate

∴

τ FW = \frac{3.1416 \cdot 15 \cdot (\frac{6.28}{5.54} - 1)}{6.28} - 1

Next Step Evaluate

∴

τ FW = 0.00231318422034121

LAST Step Rounding Answer

∴

τ FW = 0.0023

Induced Lift Slope Factor given Lift Curve Slope of Finite Wing Formula Elements

Variables

Constants

Induced Lift Slope Factor of Finite Wing

The Induced Lift Slope Factor of Finite Wing 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_FW

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Induced Lift Slope Factor of Finite Wing

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

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

Lift Curve Slope

The lift curve slope is a measure of how rapidly the wing generates lift with a change in 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 in General Lift Distribution category

Go Span Efficiency Factor

e span = {(1 + δ)}^{- 1}

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}

How to Evaluate Induced Lift Slope Factor given Lift Curve Slope of Finite Wing?

Induced Lift Slope Factor given Lift Curve Slope of Finite Wing evaluator uses Induced Lift Slope Factor of Finite Wing = (pi*Wing Aspect Ratio GLD*(2D Lift Curve Slope/Lift Curve Slope-1))/2D Lift Curve Slope-1 to evaluate the Induced Lift Slope Factor of Finite Wing, The Induced Lift Slope Factor given Lift Curve Slope of Finite Wing formula calculates the induced lift slope factor which is a function of the Fourier coefficients which is used for the lift curve slope expression for the finite wing of the general planform. Induced Lift Slope Factor of Finite Wing is denoted by τ_FW symbol.

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

FAQs on Induced Lift Slope Factor given Lift Curve Slope of Finite Wing

What is the formula to find Induced Lift Slope Factor given Lift Curve Slope of Finite Wing?

The formula of Induced Lift Slope Factor given Lift Curve Slope of Finite Wing is expressed as Induced Lift Slope Factor of Finite Wing = (pi*Wing Aspect Ratio GLD*(2D Lift Curve Slope/Lift Curve Slope-1))/2D Lift Curve Slope-1. Here is an example- 0.002313 = (pi*15*(6.28/5.54-1))/6.28-1.

How to calculate Induced Lift Slope Factor given Lift Curve Slope of Finite Wing?

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

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

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

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

Induced Lift Slope Factor given Lift Curve Slope of Finite Wing Formula Elements

Other formulas in General Lift Distribution category

How to Evaluate Induced Lift Slope Factor given Lift Curve Slope of Finite Wing?

FAQs on Induced Lift Slope Factor given Lift Curve Slope of Finite Wing

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