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Coefficient of Lift given Induced Angle of Attack Formula

GoCoefficient of Lift given Circulation at Origin Formula

GoCoefficient of Lift given Induced Drag Coefficient Formula

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The Lift Coefficient ELD 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. Check FAQs

C L,ELD = π \cdot α i \cdot AR ELD

C_L,ELD - Lift Coefficient ELD?α_i - Induced Angle of Attack?AR_ELD - Wing Aspect Ratio ELD?π - Archimedes' constant?

Coefficient of Lift given Induced Angle of Attack Example

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Here is how the Coefficient of Lift given Induced Angle of Attack equation looks like with Values.

Here is how the Coefficient of Lift given Induced Angle of Attack equation looks like with Units.

Here is how the Coefficient of Lift given Induced Angle of Attack equation looks like.

1.4958 = 3.1416 \cdot 11 \cdot 2.48

1.4958 = 3.1416 \cdot 11° \cdot 2.48

1.4958 = 3.1416 \cdot 11 \cdot 2.48

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Coefficient of Lift given Induced Angle of Attack Solution

Follow our step by step solution on how to calculate Coefficient of Lift given Induced Angle of Attack?

FIRST Step Consider the formula

C L,ELD = π \cdot α i \cdot AR ELD

Next Step Substitute values of Variables

∴

C L,ELD = π \cdot 11° \cdot 2.48

Next Step Substitute values of Constants

∴

C L,ELD = 3.1416 \cdot 11° \cdot 2.48

Next Step Convert Units

∴

C L,ELD = 3.1416 \cdot 0.192rad \cdot 2.48

Next Step Prepare to Evaluate

∴

C L,ELD = 3.1416 \cdot 0.192 \cdot 2.48

Next Step Evaluate

∴

C L,ELD = 1.49579337812037

LAST Step Rounding Answer

∴

C L,ELD = 1.4958

Coefficient of Lift given Induced Angle of Attack Formula Elements

Variables

Constants

Lift Coefficient ELD

The Lift Coefficient ELD 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,ELD

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Lift Coefficient ELD

Induced Angle of Attack

The Induced Angle of Attack is the angle between the local relative wind and the direction of freestream velocity.

Symbol: α_i

Measurement: AngleUnit: °

Note: Value can be positive or negative.

Formulas to find Induced Angle of Attack

Wing Aspect Ratio ELD

Wing Aspect Ratio ELD 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_ELD

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Wing Aspect Ratio ELD

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 Lift Coefficient ELD

Go Coefficient of Lift given Circulation at Origin

C L,ELD = π \cdot b \cdot \frac{Γ o}{2 \cdot V ∞ \cdot S 0}

Go Coefficient of Lift given Induced Drag Coefficient

C L,ELD = \sqrt{π \cdot AR ELD \cdot C D,i,ELD}

Other formulas in Elliptical Lift Distribution category

Go Circulation at given Distance along Wingspan

Γ = Γ o \cdot \sqrt{1 - {(2 \cdot \frac{a}{b})}^{2}}

Go Lift at given Distance along Wingspan

L = ρ ∞ \cdot V ∞ \cdot Γ o \cdot \sqrt{1 - {(2 \cdot \frac{a}{b})}^{2}}

Go Downwash in Elliptical Lift Distribution

w = - \frac{Γ o}{2 \cdot b}

Go Induced Angle of Attack given Aspect Ratio

α i = \frac{C l}{π \cdot AR ELD}

How to Evaluate Coefficient of Lift given Induced Angle of Attack?

Coefficient of Lift given Induced Angle of Attack evaluator uses Lift Coefficient ELD = pi*Induced Angle of Attack*Wing Aspect Ratio ELD to evaluate the Lift Coefficient ELD, The Coefficient of lift given induced angle of attack formula calculates the coefficient of lift which is an important parameter for the selection of the aerofoil and the aerodynamic efficiency of the wing. Lift Coefficient ELD is denoted by C_L,ELD symbol.

How to evaluate Coefficient of Lift given Induced Angle of Attack using this online evaluator? To use this online evaluator for Coefficient of Lift given Induced Angle of Attack, enter Induced Angle of Attack (α_i) & Wing Aspect Ratio ELD (AR_ELD) and hit the calculate button.

FAQs on Coefficient of Lift given Induced Angle of Attack

What is the formula to find Coefficient of Lift given Induced Angle of Attack?

The formula of Coefficient of Lift given Induced Angle of Attack is expressed as Lift Coefficient ELD = pi*Induced Angle of Attack*Wing Aspect Ratio ELD. Here is an example- 1.495793 = pi*0.19198621771934*2.48.

How to calculate Coefficient of Lift given Induced Angle of Attack?

With Induced Angle of Attack (α_i) & Wing Aspect Ratio ELD (AR_ELD) we can find Coefficient of Lift given Induced Angle of Attack using the formula - Lift Coefficient ELD = pi*Induced Angle of Attack*Wing Aspect Ratio ELD. This formula also uses Archimedes' constant .

What are the other ways to Calculate Lift Coefficient ELD?

Here are the different ways to Calculate Lift Coefficient ELD-

Lift Coefficient ELD=pi*Wingspan*Circulation at Origin/(2*Freestream Velocity*Reference Area Origin)
Lift Coefficient ELD=sqrt(pi*Wing Aspect Ratio ELD*Induced Drag Coefficient ELD)

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