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Lift at given Distance along Wingspan Formula

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The Lift at Distance is the sum of all the forces at that point which causes it to move perpendicular to the direction of flow. Check FAQs

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

L - Lift at Distance?ρ_∞ - Freestream Density?V_∞ - Freestream Velocity?Γ_o - Circulation at Origin?a - Distance from Center to Point?b - Wingspan?

Lift at given Distance along Wingspan Example

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

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

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

265.7989 = 1.225 \cdot 15.5 \cdot 14 \cdot \sqrt{1 - {(2 \cdot \frac{16.4}{2340})}^{2}}

265.7989N = 1.225kg/m³ \cdot 15.5m/s \cdot 14m²/s \cdot \sqrt{1 - {(2 \cdot \frac{16.4mm}{2340mm})}^{2}}

265.7989 = 1.225 \cdot 15.5 \cdot 14 \cdot \sqrt{1 - {(2 \cdot \frac{16.4}{2340})}^{2}}

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Lift at given Distance along Wingspan Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

L = 1.225kg/m³ \cdot 15.5m/s \cdot 14m²/s \cdot \sqrt{1 - {(2 \cdot \frac{16.4mm}{2340mm})}^{2}}

Next Step Convert Units

∴

L = 1.225kg/m³ \cdot 15.5m/s \cdot 14m²/s \cdot \sqrt{1 - {(2 \cdot \frac{0.0164m}{2.34m})}^{2}}

Next Step Prepare to Evaluate

∴

L = 1.225 \cdot 15.5 \cdot 14 \cdot \sqrt{1 - {(2 \cdot \frac{0.0164}{2.34})}^{2}}

Next Step Evaluate

∴

L = 265.798884212059N

LAST Step Rounding Answer

∴

L = 265.7989N

Lift at given Distance along Wingspan Formula Elements

Variables

Functions

Lift at Distance

The Lift at Distance is the sum of all the forces at that point which causes it to move perpendicular to the direction of flow.

Symbol: L

Measurement: ForceUnit: N

Note: Value should be greater than 0.

Formulas to find Lift at Distance

Freestream Density

Freestream Density is the mass per unit volume of air far upstream of an aerodynamic body at a given altitude.

Symbol: ρ_∞

Measurement: DensityUnit: kg/m³

Note: Value can be positive or negative.

Formulas to find Freestream Density

Freestream Velocity

The Freestream Velocity is the velocity of air far upstream of an aerodynamic body, that is before the body has a chance to deflect, slow down or compress the air.

Symbol: V_∞

Measurement: SpeedUnit: m/s

Note: Value can be positive or negative.

Formulas to find Freestream Velocity

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 Circulation at given Distance along Wingspan

Γ = 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 Lift at given Distance along Wingspan?

Lift at given Distance along Wingspan evaluator uses Lift at Distance = Freestream Density*Freestream Velocity*Circulation at Origin*sqrt(1-(2*Distance from Center to Point/Wingspan)^2) to evaluate the Lift at Distance, The Lift at given Distance along Wingspan formula calculates the lift for the elliptical lift distribution along the wingspan at the given point from the center of the elliptical distribution. Lift at Distance is denoted by L symbol.

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

FAQs on Lift at given Distance along Wingspan

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

The formula of Lift at given Distance along Wingspan is expressed as Lift at Distance = Freestream Density*Freestream Velocity*Circulation at Origin*sqrt(1-(2*Distance from Center to Point/Wingspan)^2). Here is an example- 265.7989 = 1.225*15.5*14*sqrt(1-(2*0.0164/2.34)^2).

How to calculate Lift at given Distance along Wingspan?

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

Can the Lift at given Distance along Wingspan be negative?

No, the Lift at given Distance along Wingspan, measured in Force cannot be negative.

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

Lift at given Distance along Wingspan is usually measured using the Newton[N] for Force. Exanewton[N], Meganewton[N], Kilonewton[N] are the few other units in which Lift at given Distance along Wingspan can be measured.

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Lift at given Distance along Wingspan Formula

Lift at given Distance along Wingspan Example

Lift at given Distance along Wingspan Solution

Lift at given Distance along Wingspan Formula Elements

Other formulas in Elliptical Lift Distribution category

How to Evaluate Lift at given Distance along Wingspan?

FAQs on Lift at given Distance along Wingspan

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