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Circulation at given Distance along Wingspan Formula

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Circulation is a scalar integral quantity, is a macroscopic measure of rotation for a finite area of the fluid. Check FAQs

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

Γ - Circulation?Γ_o - Circulation at Origin?a - Distance from Center to Point?b - Wingspan?

Circulation at given Distance along Wingspan Example

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Here is how the Circulation at given Distance along Wingspan equation looks like with Values.

Here is how the Circulation at given Distance along Wingspan equation looks like with Units.

Here is how the Circulation at given Distance along Wingspan equation looks like.

13.9986 = 14 \cdot \sqrt{1 - {(2 \cdot \frac{16.4}{2340})}^{2}}

13.9986m²/s = 14m²/s \cdot \sqrt{1 - {(2 \cdot \frac{16.4mm}{2340mm})}^{2}}

13.9986 = 14 \cdot \sqrt{1 - {(2 \cdot \frac{16.4}{2340})}^{2}}

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Circulation at given Distance along Wingspan Solution

Follow our step by step solution on how to calculate Circulation at given Distance along Wingspan?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

Γ = 14m²/s \cdot \sqrt{1 - {(2 \cdot \frac{16.4mm}{2340mm})}^{2}}

Next Step Convert Units

∴

Γ = 14m²/s \cdot \sqrt{1 - {(2 \cdot \frac{0.0164m}{2.34m})}^{2}}

Next Step Prepare to Evaluate

∴

Γ = 14 \cdot \sqrt{1 - {(2 \cdot \frac{0.0164}{2.34})}^{2}}

Next Step Evaluate

∴

Γ = 13.9986245799636m²/s

LAST Step Rounding Answer

∴

Γ = 13.9986m²/s

Circulation at given Distance along Wingspan Formula Elements

Variables

Functions

Circulation

Circulation is a scalar integral quantity, is a macroscopic measure of rotation for a finite area of the fluid.

Symbol: Γ

Measurement: Momentum DiffusivityUnit: m²/s

Note: Value can be positive or negative.

Formulas to find Circulation

Circulation at Origin

Circulation at Origin is the circulation when the origin is taken at the center of the bound vortex.

Symbol: Γ_o

Measurement: Momentum DiffusivityUnit: m²/s

Note: Value can be positive or negative.

Formulas to find Circulation at Origin

Distance from Center to Point

Distance from center to point is the length of line segment measured from the center of a body to a particular point.

Symbol: a

Measurement: LengthUnit: mm

Note: Value can be positive or negative.

Formulas to find Distance from Center to Point

Wingspan

The Wingspan (or just span) of a bird or an airplane is the distance from one wingtip to the other wingtip.

Symbol: b

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Wingspan

sqrt

A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number.

Syntax: sqrt(Number)

Other formulas in Elliptical Lift Distribution category

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}

Go Induced Angle of Attack given Circulation at Origin

α i = \frac{Γ o}{2 \cdot b \cdot V ∞}

How to Evaluate Circulation at given Distance along Wingspan?

Circulation at given Distance along Wingspan evaluator uses Circulation = Circulation at Origin*sqrt(1-(2*Distance from Center to Point/Wingspan)^2) to evaluate the Circulation, The Circulation at given Distance along Wingspan formula calculates the circulation at a particular point along the wingspan which is at a given distance from the center of the bound vortex or the considered origin. Circulation is denoted by Γ symbol.

How to evaluate Circulation at given Distance along Wingspan using this online evaluator? To use this online evaluator for Circulation at given Distance along Wingspan, enter Circulation at Origin (Γ_o), Distance from Center to Point (a) & Wingspan (b) and hit the calculate button.

FAQs on Circulation at given Distance along Wingspan

What is the formula to find Circulation at given Distance along Wingspan?

The formula of Circulation at given Distance along Wingspan is expressed as Circulation = Circulation at Origin*sqrt(1-(2*Distance from Center to Point/Wingspan)^2). Here is an example- 13.99862 = 14*sqrt(1-(2*0.0164/2.34)^2).

How to calculate Circulation at given Distance along Wingspan?

With Circulation at Origin (Γ_o), Distance from Center to Point (a) & Wingspan (b) we can find Circulation at given Distance along Wingspan using the formula - Circulation = Circulation at Origin*sqrt(1-(2*Distance from Center to Point/Wingspan)^2). This formula also uses Square Root (sqrt) function(s).

Can the Circulation at given Distance along Wingspan be negative?

Yes, the Circulation at given Distance along Wingspan, measured in Momentum Diffusivity can be negative.

Which unit is used to measure Circulation at given Distance along Wingspan?

Circulation at given Distance along Wingspan is usually measured using the Square Meter per Second[m²/s] for Momentum Diffusivity. Square Meter per Hour[m²/s], Square Centimeter per Second[m²/s] are the few other units in which Circulation at given Distance along Wingspan can be measured.

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Circulation at given Distance along Wingspan Formula

Circulation at given Distance along Wingspan Example

Circulation at given Distance along Wingspan Solution

Circulation at given Distance along Wingspan Formula Elements

Other formulas in Elliptical Lift Distribution category

How to Evaluate Circulation at given Distance along Wingspan?

FAQs on Circulation at given Distance along Wingspan

Variable Name