Induced Angle of Attack given Effective Angle of Attack Calculator

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Two-Dimensional Incompressible Flow

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Flow over Airfoils and Wings

Elementary Flows

Flow and Lift Distribution

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✖The Geometric Angle of Attack is the angle between the direction of freestream velocity and the chord line.ⓘ Geometric Angle of Attack [α_g]			+10% -10%
✖Effective Angle of Attack is the angle between the chord line and the direction of the local relative wind.ⓘ Effective Angle of Attack [α_eff]			+10% -10%

✖The Induced Angle of Attack is the angle between the local relative wind and the direction of freestream velocity.ⓘ Induced Angle of Attack given Effective Angle of Attack [α_i]

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Formula

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Induced Angle of Attack given Effective Angle of Attack

Formula

`"α"_{"i"} = "α"_{"g"}-"α"_{"eff"}`

Example

`"4°"="12°"-"8°"`

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Induced Angle of Attack given Effective Angle of Attack Solution

STEP 0: Pre-Calculation Summary

Formula Used

Induced Angle of Attack = Geometric Angle of Attack-Effective Angle of Attack
α_i = α_g-α_eff
This formula uses 3 Variables

Variables Used

Induced Angle of Attack - (Measured in Radian) - The Induced Angle of Attack is the angle between the local relative wind and the direction of freestream velocity.
Geometric Angle of Attack - (Measured in Radian) - The Geometric Angle of Attack is the angle between the direction of freestream velocity and the chord line.
Effective Angle of Attack - (Measured in Radian) - Effective Angle of Attack is the angle between the chord line and the direction of the local relative wind.

STEP 1: Convert Input(s) to Base Unit

Geometric Angle of Attack: 12 Degree --> 0.20943951023928 Radian (Check conversion here)
Effective Angle of Attack: 8 Degree --> 0.13962634015952 Radian (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

α_i = α_g-α_eff --> 0.20943951023928-0.13962634015952

Evaluating ... ...

α_i = 0.06981317007976

STEP 3: Convert Result to Output's Unit

0.06981317007976 Radian -->4 Degree (Check conversion here)

FINAL ANSWER

4 Degree <-- Induced Angle of Attack

(Calculation completed in 00.004 seconds)

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Home » Physics » Aerodynamics » Two-Dimensional Incompressible Flow » Flow over Airfoils and Wings » Flow over Wings » Induced Angle of Attack given Effective Angle of Attack

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< 11 Flow over Wings Calculators

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Go Wing Aspect Ratio = (2D Lift Curve Slope*(1+Induced Lift Slope Factor))/(pi*(2D Lift Curve Slope/Lift Curve Slope-1))

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Go Lift Curve Slope = 2D Lift Curve Slope/(1+(2D Lift Curve Slope*(1+Induced Lift Slope Factor))/(pi*Wing Aspect Ratio))

2D Lift Curve Slope of Airfoil given Lift Slope of Finite Wing

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Aspect Ratio given Span Efficiency Factor

Go Wing Aspect Ratio = Lift Coefficient^2/(pi*Span Efficiency Factor*Induced Drag Coefficient)

Aspect Ratio of Wing given Lift Curve Slope of Elliptic Finite Wing

Go Wing Aspect Ratio = 2D Lift Curve Slope/(pi*(2D Lift Curve Slope/Lift Curve Slope-1))

Lift Curve Slope for Elliptic Finite Wing

Go Lift Curve Slope = 2D Lift Curve Slope/(1+2D Lift Curve Slope/(pi*Wing Aspect Ratio))

2D Lift Curve Slope of Airfoil given Lift Slope of Elliptic Finite Wing

Go 2D Lift Curve Slope = Lift Curve Slope/(1-Lift Curve Slope/(pi*Wing Aspect Ratio))

Geometric Angle of Attack given Effective Angle of Attack

Go Geometric Angle of Attack = Effective Angle of Attack+Induced Angle of Attack

Induced Angle of Attack given Effective Angle of Attack

Go Induced Angle of Attack = Geometric Angle of Attack-Effective Angle of Attack

Effective Angle of Attack of Finite Wing

Go Effective Angle of Attack = Geometric Angle of Attack-Induced Angle of Attack

Oswald Efficiency Factor

Go Oswald Efficiency Factor = 1.78*(1-0.045*Wing Aspect Ratio^(0.68))-0.64

Induced Angle of Attack given Effective Angle of Attack Formula

Induced Angle of Attack = Geometric Angle of Attack-Effective Angle of Attack
α_i = α_g-α_eff

What is the effect of angle of attack?

An increase in the angle of attack results in an increase in both lift and induced drag, up to a point. Too high an angle of attack (usually around 17 degrees) and the airflow across the upper surface of the aerofoil become detached, resulting in a loss of lift, otherwise known as a Stall.

How to Calculate Induced Angle of Attack given Effective Angle of Attack?

Induced Angle of Attack given Effective Angle of Attack calculator uses Induced Angle of Attack = Geometric Angle of Attack-Effective Angle of Attack to calculate the Induced Angle of Attack, The Induced Angle of Attack given Effective Angle of Attack formula calculates the angle between the direction of the freestream velocity and the local relative wind. Induced Angle of Attack is denoted by α_i symbol.

How to calculate Induced Angle of Attack given Effective Angle of Attack using this online calculator? To use this online calculator for Induced Angle of Attack given Effective Angle of Attack, enter Geometric Angle of Attack (α_g) & Effective Angle of Attack (α_eff) and hit the calculate button. Here is how the Induced Angle of Attack given Effective Angle of Attack calculation can be explained with given input values -> 229.1831 = 0.20943951023928-0.13962634015952.

FAQ

What is Induced Angle of Attack given Effective Angle of Attack?

The Induced Angle of Attack given Effective Angle of Attack formula calculates the angle between the direction of the freestream velocity and the local relative wind and is represented as α_i = α_g-α_eff or Induced Angle of Attack = Geometric Angle of Attack-Effective Angle of Attack. The Geometric Angle of Attack is the angle between the direction of freestream velocity and the chord line & Effective Angle of Attack is the angle between the chord line and the direction of the local relative wind.

How to calculate Induced Angle of Attack given Effective Angle of Attack?

The Induced Angle of Attack given Effective Angle of Attack formula calculates the angle between the direction of the freestream velocity and the local relative wind is calculated using Induced Angle of Attack = Geometric Angle of Attack-Effective Angle of Attack. To calculate Induced Angle of Attack given Effective Angle of Attack, you need Geometric Angle of Attack (α_g) & Effective Angle of Attack (α_eff). With our tool, you need to enter the respective value for Geometric Angle of Attack & Effective Angle of Attack and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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