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Aspect Ratio given Induced Drag Factor Formula

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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. Check FAQs

AR GLD = \frac{(1 + δ) \cdot {C L,GLD}^{2}}{π \cdot C D,i,GLD}

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

Aspect Ratio given Induced Drag Factor Example

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Here is how the Aspect Ratio given Induced Drag Factor equation looks like with Values.

Here is how the Aspect Ratio given Induced Drag Factor equation looks like with Units.

Here is how the Aspect Ratio given Induced Drag Factor equation looks like.

15.0464 = \frac{(1 + 0.05) \cdot {1.47}^{2}}{3.1416 \cdot 0.048}

15.0464 = \frac{(1 + 0.05) \cdot {1.47}^{2}}{3.1416 \cdot 0.048}

15.0464 = \frac{(1 + 0.05) \cdot {1.47}^{2}}{3.1416 \cdot 0.048}

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Aspect Ratio given Induced Drag Factor Solution

Follow our step by step solution on how to calculate Aspect Ratio given Induced Drag Factor?

FIRST Step Consider the formula

AR GLD = \frac{(1 + δ) \cdot {C L,GLD}^{2}}{π \cdot C D,i,GLD}

Next Step Substitute values of Variables

∴

AR GLD = \frac{(1 + 0.05) \cdot {1.47}^{2}}{π \cdot 0.048}

Next Step Substitute values of Constants

∴

AR GLD = \frac{(1 + 0.05) \cdot {1.47}^{2}}{3.1416 \cdot 0.048}

Next Step Prepare to Evaluate

∴

AR GLD = \frac{(1 + 0.05) \cdot {1.47}^{2}}{3.1416 \cdot 0.048}

Next Step Evaluate

∴

AR GLD = 15.0464088480684

LAST Step Rounding Answer

∴

AR GLD = 15.0464

Aspect Ratio given Induced Drag Factor Formula Elements

Variables

Constants

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 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

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

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 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 Aspect Ratio given Induced Drag Factor?

Aspect Ratio given Induced Drag Factor evaluator uses Wing Aspect Ratio GLD = ((1+Induced Drag Factor)*Lift Coefficient GLD^2)/(pi*Induced Drag Coefficient GLD) to evaluate the Wing Aspect Ratio GLD, The Aspect ratio given induced drag factor formula calculates the aspect ratio of the wing for the actual lift distribution which is a function of the Fourier series, by using the induced drag factor. Wing Aspect Ratio GLD is denoted by AR_GLD symbol.

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

FAQs on Aspect Ratio given Induced Drag Factor

What is the formula to find Aspect Ratio given Induced Drag Factor?

The formula of Aspect Ratio given Induced Drag Factor is expressed as Wing Aspect Ratio GLD = ((1+Induced Drag Factor)*Lift Coefficient GLD^2)/(pi*Induced Drag Coefficient GLD). Here is an example- 18.05569 = ((1+0.05)*1.47^2)/(pi*0.048).

How to calculate Aspect Ratio given Induced Drag Factor?

With Induced Drag Factor (δ), Lift Coefficient GLD (C_L,GLD) & Induced Drag Coefficient GLD (C_D,i,GLD) we can find Aspect Ratio given Induced Drag Factor using the formula - Wing Aspect Ratio GLD = ((1+Induced Drag Factor)*Lift Coefficient GLD^2)/(pi*Induced Drag Coefficient GLD). This formula also uses Archimedes' constant .

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Aspect Ratio given Induced Drag Factor Formula

Aspect Ratio given Induced Drag Factor Example

Aspect Ratio given Induced Drag Factor Solution

Aspect Ratio given Induced Drag Factor Formula Elements

Other formulas in General Lift Distribution category

How to Evaluate Aspect Ratio given Induced Drag Factor?

FAQs on Aspect Ratio given Induced Drag Factor

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