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

Go2D Lift Curve Slope of Airfoil given Lift Slope of Elliptic Finite Wing Formula

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

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

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

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

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Here is how the 2D Lift Curve Slope of Airfoil given Lift Slope of Finite Wing equation looks like with Values.

Here is how the 2D Lift Curve Slope of Airfoil given Lift Slope of Finite Wing equation looks like with Units.

Here is how the 2D Lift Curve Slope of Airfoil given Lift Slope of Finite Wing equation looks like.

6.3244 = \frac{5.54}{1 - \frac{5.54 \cdot (1 + 0.055)}{3.1416 \cdot 15}}

6.3244rad⁻¹ = \frac{5.54rad⁻¹}{1 - \frac{5.54rad⁻¹ \cdot (1 + 0.055)}{3.1416 \cdot 15}}

6.3244 = \frac{5.54}{1 - \frac{5.54 \cdot (1 + 0.055)}{3.1416 \cdot 15}}

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

Follow our step by step solution on how to calculate 2D Lift Curve Slope of Airfoil given Lift Slope of Finite Wing?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

a 0 = \frac{5.54rad⁻¹}{1 - \frac{5.54rad⁻¹ \cdot (1 + 0.055)}{π \cdot 15}}

Next Step Substitute values of Constants

∴

a 0 = \frac{5.54rad⁻¹}{1 - \frac{5.54rad⁻¹ \cdot (1 + 0.055)}{3.1416 \cdot 15}}

Next Step Prepare to Evaluate

∴

a 0 = \frac{5.54}{1 - \frac{5.54 \cdot (1 + 0.055)}{3.1416 \cdot 15}}

Next Step Evaluate

∴

a 0 = 6.32440585083825rad⁻¹

LAST Step Rounding Answer

∴

a 0 = 6.3244rad⁻¹

2D Lift Curve Slope of Airfoil given Lift Slope of Finite Wing Formula Elements

Variables

Constants

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 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

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

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

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 2D Lift Curve Slope

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}}

Other formulas in Flow over Wings category

Go Effective Angle of Attack of Finite Wing

α eff = α g - α i

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)}

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)}

How to Evaluate 2D Lift Curve Slope of Airfoil given Lift Slope of Finite Wing?

2D Lift Curve Slope of Airfoil given Lift Slope of Finite Wing evaluator uses 2D Lift Curve Slope = Lift Curve Slope/(1-(Lift Curve Slope*(1+Induced Lift Slope Factor))/(pi*Wing Aspect Ratio)) to evaluate the 2D Lift Curve Slope, The 2D Lift Curve Slope of Airfoil given Lift Slope of Finite Wing formula calculates the lift curve slope of an airfoil used for the finite wing of the general platform by using the lift curve slope of the finite or 3D wing. 2D Lift Curve Slope is denoted by a₀ symbol.

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

FAQs on 2D Lift Curve Slope of Airfoil given Lift Slope of Finite Wing

What is the formula to find 2D Lift Curve Slope of Airfoil given Lift Slope of Finite Wing?

The formula of 2D Lift Curve Slope of Airfoil given Lift Slope of Finite Wing is expressed as 2D Lift Curve Slope = Lift Curve Slope/(1-(Lift Curve Slope*(1+Induced Lift Slope Factor))/(pi*Wing Aspect Ratio)). Here is an example- 6.324406 = 5.54/(1-(5.54*(1+0.055))/(pi*15)).

How to calculate 2D Lift Curve Slope of Airfoil given Lift Slope of Finite Wing?

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

What are the other ways to Calculate 2D Lift Curve Slope?

Here are the different ways to Calculate 2D Lift Curve Slope-

2D Lift Curve Slope=Lift Curve Slope/(1-Lift Curve Slope/(pi*Wing Aspect Ratio))

Can the 2D Lift Curve Slope of Airfoil given Lift Slope of Finite Wing be negative?

Yes, the 2D Lift Curve Slope of Airfoil given Lift Slope of Finite Wing, measured in Reciprocal Angle can be negative.

Which unit is used to measure 2D Lift Curve Slope of Airfoil given Lift Slope of Finite Wing?

2D Lift Curve Slope of Airfoil given Lift Slope of Finite Wing is usually measured using the 1 per Radian[rad⁻¹] for Reciprocal Angle. 1 per Degree[rad⁻¹], 1 per Minute[rad⁻¹], 1 per Quadrant[rad⁻¹] are the few other units in which 2D Lift Curve Slope of Airfoil given Lift Slope of Finite Wing can be measured.

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

​Go2D Lift Curve Slope of Airfoil given Lift Slope of Elliptic Finite Wing Formula

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

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

2D Lift Curve Slope of Airfoil given Lift Slope of Finite Wing Formula Elements

Other Formulas to find 2D Lift Curve Slope

Other formulas in Flow over Wings category

How to Evaluate 2D Lift Curve Slope of Airfoil given Lift Slope of Finite Wing?

FAQs on 2D Lift Curve Slope of Airfoil given Lift Slope of Finite Wing

Variable Name

Go2D Lift Curve Slope of Airfoil given Lift Slope of Elliptic Finite Wing Formula