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The Lift Coefficient ELD 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. Check FAQs
CL,ELD=πARELDCD,i,ELD
CL,ELD - Lift Coefficient ELD?ARELD - Wing Aspect Ratio ELD?CD,i,ELD - Induced Drag Coefficient ELD?π - Archimedes' constant?

Coefficient of Lift given Induced Drag Coefficient Example

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Here is how the Coefficient of Lift given Induced Drag Coefficient equation looks like with Values.

Here is how the Coefficient of Lift given Induced Drag Coefficient equation looks like with Units.

Here is how the Coefficient of Lift given Induced Drag Coefficient equation looks like.

1.4979Edit=3.14162.48Edit0.288Edit
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Coefficient of Lift given Induced Drag Coefficient Solution

Follow our step by step solution on how to calculate Coefficient of Lift given Induced Drag Coefficient?

FIRST Step Consider the formula
CL,ELD=πARELDCD,i,ELD
Next Step Substitute values of Variables
CL,ELD=π2.480.288
Next Step Substitute values of Constants
CL,ELD=3.14162.480.288
Next Step Prepare to Evaluate
CL,ELD=3.14162.480.288
Next Step Evaluate
CL,ELD=1.49794897673451
LAST Step Rounding Answer
CL,ELD=1.4979

Coefficient of Lift given Induced Drag Coefficient Formula Elements

Variables
Constants
Functions
Lift Coefficient ELD
The Lift Coefficient ELD 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: CL,ELD
Measurement: NAUnit: Unitless
Note: Value should be greater than 0.
Wing Aspect Ratio ELD
Wing Aspect Ratio ELD is defined as the ratio of the square of wingspan to the wing area or wingspan over wing chord for a rectangular planform.
Symbol: ARELD
Measurement: NAUnit: Unitless
Note: Value should be greater than 0.
Induced Drag Coefficient ELD
The Induced Drag Coefficient ELD is a dimensionless parameter that describes a relation between the coefficient of the lift and the aspect ratio.
Symbol: CD,i,ELD
Measurement: NAUnit: Unitless
Note: Value can be positive or negative.
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
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 to find Lift Coefficient ELD

​Go Coefficient of Lift given Circulation at Origin
CL,ELD=πbΓo2VS0
​Go Coefficient of Lift given Induced Angle of Attack
CL,ELD=παiARELD

Other formulas in Elliptical Lift Distribution category

​Go Circulation at given Distance along Wingspan
Γ=Γo1-(2ab)2
​Go Lift at given Distance along Wingspan
L=ρVΓo1-(2ab)2
​Go Downwash in Elliptical Lift Distribution
w=-Γo2b
​Go Induced Angle of Attack given Aspect Ratio
αi=ClπARELD

How to Evaluate Coefficient of Lift given Induced Drag Coefficient?

Coefficient of Lift given Induced Drag Coefficient evaluator uses Lift Coefficient ELD = sqrt(pi*Wing Aspect Ratio ELD*Induced Drag Coefficient ELD) to evaluate the Lift Coefficient ELD, The Coefficient of lift given induced drag coefficient formula calculates the coefficient of lift which is an important parameter for the selection of the aerofoil and the aerodynamic efficiency of the wing. Lift Coefficient ELD is denoted by CL,ELD symbol.

How to evaluate Coefficient of Lift given Induced Drag Coefficient using this online evaluator? To use this online evaluator for Coefficient of Lift given Induced Drag Coefficient, enter Wing Aspect Ratio ELD (ARELD) & Induced Drag Coefficient ELD (CD,i,ELD) and hit the calculate button.

FAQs on Coefficient of Lift given Induced Drag Coefficient

What is the formula to find Coefficient of Lift given Induced Drag Coefficient?
The formula of Coefficient of Lift given Induced Drag Coefficient is expressed as Lift Coefficient ELD = sqrt(pi*Wing Aspect Ratio ELD*Induced Drag Coefficient ELD). Here is an example- 1.497949 = sqrt(pi*2.48*0.288).
How to calculate Coefficient of Lift given Induced Drag Coefficient?
With Wing Aspect Ratio ELD (ARELD) & Induced Drag Coefficient ELD (CD,i,ELD) we can find Coefficient of Lift given Induced Drag Coefficient using the formula - Lift Coefficient ELD = sqrt(pi*Wing Aspect Ratio ELD*Induced Drag Coefficient ELD). This formula also uses Archimedes' constant and Square Root (sqrt) function(s).
What are the other ways to Calculate Lift Coefficient ELD?
Here are the different ways to Calculate Lift Coefficient ELD-
  • Lift Coefficient ELD=pi*Wingspan*Circulation at Origin/(2*Freestream Velocity*Reference Area Origin)OpenImg
  • Lift Coefficient ELD=pi*Induced Angle of Attack*Wing Aspect Ratio ELDOpenImg
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