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Freestream Velocity given Induced Angle of Attack Formula

GoFreestream Velocity given Circulation at Origin Formula

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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. Check FAQs

V ∞ = \frac{Γ o}{2 \cdot b \cdot α i}

V_∞ - Freestream Velocity?Γ_o - Circulation at Origin?b - Wingspan?α_i - Induced Angle of Attack?

Freestream Velocity given Induced Angle of Attack Example

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Here is how the Freestream Velocity given Induced Angle of Attack equation looks like with Values.

Here is how the Freestream Velocity given Induced Angle of Attack equation looks like with Units.

Here is how the Freestream Velocity given Induced Angle of Attack equation looks like.

15.5816 = \frac{14}{2 \cdot 2340 \cdot 11}

15.5816m/s = \frac{14m²/s}{2 \cdot 2340mm \cdot 11°}

15.5816 = \frac{14}{2 \cdot 2340 \cdot 11}

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Freestream Velocity given Induced Angle of Attack Solution

Follow our step by step solution on how to calculate Freestream Velocity given Induced Angle of Attack?

FIRST Step Consider the formula

V ∞ = \frac{Γ o}{2 \cdot b \cdot α i}

Next Step Substitute values of Variables

∴

V ∞ = \frac{14m²/s}{2 \cdot 2340mm \cdot 11°}

Next Step Convert Units

∴

V ∞ = \frac{14m²/s}{2 \cdot 2.34m \cdot 0.192rad}

Next Step Prepare to Evaluate

∴

V ∞ = \frac{14}{2 \cdot 2.34 \cdot 0.192}

Next Step Evaluate

∴

V ∞ = 15.5816028201885m/s

LAST Step Rounding Answer

∴

V ∞ = 15.5816m/s

Freestream Velocity given Induced Angle of Attack Formula Elements

Variables

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

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

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

Other Formulas to find Freestream Velocity

Go Freestream Velocity given Circulation at Origin

V ∞ = π \cdot b \cdot \frac{Γ o}{2 \cdot S 0 \cdot C L,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 Freestream Velocity given Induced Angle of Attack?

Freestream Velocity given Induced Angle of Attack evaluator uses Freestream Velocity = Circulation at Origin/(2*Wingspan*Induced Angle of Attack) to evaluate the Freestream Velocity, The Freestream velocity given induced angle of attack formula calculates the velocity of the fluid flowing around the wing when the induced angle of attack of the wing is given. Freestream Velocity is denoted by V_∞ symbol.

How to evaluate Freestream Velocity given Induced Angle of Attack using this online evaluator? To use this online evaluator for Freestream Velocity given Induced Angle of Attack, enter Circulation at Origin (Γ_o), Wingspan (b) & Induced Angle of Attack (α_i) and hit the calculate button.

FAQs on Freestream Velocity given Induced Angle of Attack

What is the formula to find Freestream Velocity given Induced Angle of Attack?

The formula of Freestream Velocity given Induced Angle of Attack is expressed as Freestream Velocity = Circulation at Origin/(2*Wingspan*Induced Angle of Attack). Here is an example- 15.5816 = 14/(2*2.34*0.19198621771934).

How to calculate Freestream Velocity given Induced Angle of Attack?

With Circulation at Origin (Γ_o), Wingspan (b) & Induced Angle of Attack (α_i) we can find Freestream Velocity given Induced Angle of Attack using the formula - Freestream Velocity = Circulation at Origin/(2*Wingspan*Induced Angle of Attack).

What are the other ways to Calculate Freestream Velocity?

Here are the different ways to Calculate Freestream Velocity-

Freestream Velocity=pi*Wingspan*Circulation at Origin/(2*Reference Area Origin*Lift Coefficient ELD)

Can the Freestream Velocity given Induced Angle of Attack be negative?

Yes, the Freestream Velocity given Induced Angle of Attack, measured in Speed can be negative.

Which unit is used to measure Freestream Velocity given Induced Angle of Attack?

Freestream Velocity given Induced Angle of Attack is usually measured using the Meter per Second[m/s] for Speed. Meter per Minute[m/s], Meter per Hour[m/s], Kilometer per Hour[m/s] are the few other units in which Freestream Velocity given Induced Angle of Attack can be measured.

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Freestream Velocity given Induced Angle of Attack Formula

​GoFreestream Velocity given Circulation at Origin Formula

Freestream Velocity given Induced Angle of Attack Example

Freestream Velocity given Induced Angle of Attack Solution

Freestream Velocity given Induced Angle of Attack Formula Elements

Other Formulas to find Freestream Velocity

Other formulas in Elliptical Lift Distribution category

How to Evaluate Freestream Velocity given Induced Angle of Attack?

FAQs on Freestream Velocity given Induced Angle of Attack

Variable Name

GoFreestream Velocity given Circulation at Origin Formula