Span Efficiency Factor Solution

STEP 0: Pre-Calculation Summary
Formula Used
Span Efficiency Factor = (1+Induced Drag Factor)^(-1)
espan = (1+δ)^(-1)
This formula uses 2 Variables
Variables Used
Span Efficiency Factor - Span efficiency factor represents the change in drag with lift of a three-dimensional wing or airplane, as compared with an ideal wing having the same aspect ratio and an elliptical lift distribution.
Induced Drag Factor - The Induced Drag Factor is a function of the Fourier series constants which has been used for the general circulation distribution expression for the finite wing.
STEP 1: Convert Input(s) to Base Unit
Induced Drag Factor: 0.05 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
espan = (1+δ)^(-1) --> (1+0.05)^(-1)
Evaluating ... ...
espan = 0.952380952380952
STEP 3: Convert Result to Output's Unit
0.952380952380952 --> No Conversion Required
FINAL ANSWER
0.952380952380952 0.952381 <-- Span Efficiency Factor
(Calculation completed in 00.004 seconds)

Credits

Created by Ravi Khiyani
Shri Govindram Seksaria Institute of Technology and Science (SGSITS), Indore
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National Institute Of Technology (NIT), Hamirpur
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10+ General Lift Distribution Calculators

Induced Lift Slope Factor given Lift Curve Slope of Finite Wing
Go Induced Lift Slope Factor of Finite Wing = (pi*Wing Aspect Ratio GLD*(2D Lift Curve Slope/Lift Curve Slope-1))/2D Lift Curve Slope-1
Lift Coefficient given Induced Drag Factor
Go Lift Coefficient GLD = sqrt((pi*Wing Aspect Ratio GLD*Induced Drag Coefficient GLD)/(1+Induced Drag Factor))
Lift Coefficient given Span Efficiency Factor
Go Lift Coefficient GLD = sqrt(pi*Span Efficiency Factor*Wing Aspect Ratio GLD*Induced Drag Coefficient GLD)
Induced Drag Coefficient given Induced Drag Factor
Go Induced Drag Coefficient GLD = ((1+Induced Drag Factor)*Lift Coefficient GLD^2)/(pi*Wing Aspect Ratio GLD)
Aspect Ratio given Induced Drag Factor
Go Wing Aspect Ratio GLD = ((1+Induced Drag Factor)*Lift Coefficient GLD^2)/(pi*Induced Drag Coefficient GLD)
Induced Drag Coefficient given Span Efficiency Factor
Go Induced Drag Coefficient GLD = Lift Coefficient GLD^2/(pi*Span Efficiency Factor*Wing Aspect Ratio GLD)
Span Efficiency Factor given Induced Drag Coefficient
Go Span Efficiency Factor = Lift Coefficient GLD^2/(pi*Wing Aspect Ratio GLD*Induced Drag Coefficient GLD)
Induced Drag Factor given Induced Drag Coefficient
Go Induced Drag Factor = (pi*Wing Aspect Ratio GLD*Induced Drag Coefficient GLD)/Lift Coefficient GLD^2-1
Span Efficiency Factor
Go Span Efficiency Factor = (1+Induced Drag Factor)^(-1)
Induced Drag Factor given Span Efficiency Factor
Go Induced Drag Factor = Span Efficiency Factor^(-1)-1

Span Efficiency Factor Formula

Span Efficiency Factor = (1+Induced Drag Factor)^(-1)
espan = (1+δ)^(-1)

What is a good span efficiency factor or Oswald efficiency factor?

For conventional fixed-wing aircraft with moderate aspect ratio and sweep, Oswald efficiency number with wing flaps retracted is typically between 0.7 and 0.85. At supersonic speeds, Oswald's efficiency number decreases substantially. For example, at Mach 1.2 Oswald's efficiency number is likely to be between 0.3 and 0.5.

How to Calculate Span Efficiency Factor?

Span Efficiency Factor calculator uses Span Efficiency Factor = (1+Induced Drag Factor)^(-1) to calculate the Span Efficiency Factor, The Span efficiency factor formula calculates the span efficiency factor which represents the change in drag with a lift of a three-dimensional wing or airplane, as compared with an ideal wing having the same aspect ratio and an elliptical lift distribution. Span Efficiency Factor is denoted by espan symbol.

How to calculate Span Efficiency Factor using this online calculator? To use this online calculator for Span Efficiency Factor, enter Induced Drag Factor (δ) and hit the calculate button. Here is how the Span Efficiency Factor calculation can be explained with given input values -> 0.952381 = (1+0.05)^(-1).

FAQ

What is Span Efficiency Factor?
The Span efficiency factor formula calculates the span efficiency factor which represents the change in drag with a lift of a three-dimensional wing or airplane, as compared with an ideal wing having the same aspect ratio and an elliptical lift distribution and is represented as espan = (1+δ)^(-1) or Span Efficiency Factor = (1+Induced Drag Factor)^(-1). The Induced Drag Factor is a function of the Fourier series constants which has been used for the general circulation distribution expression for the finite wing.
How to calculate Span Efficiency Factor?
The Span efficiency factor formula calculates the span efficiency factor which represents the change in drag with a lift of a three-dimensional wing or airplane, as compared with an ideal wing having the same aspect ratio and an elliptical lift distribution is calculated using Span Efficiency Factor = (1+Induced Drag Factor)^(-1). To calculate Span Efficiency Factor, you need Induced Drag Factor (δ). With our tool, you need to enter the respective value for Induced Drag Factor and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
How many ways are there to calculate Span Efficiency Factor?
In this formula, Span Efficiency Factor uses Induced Drag Factor. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • Span Efficiency Factor = Lift Coefficient GLD^2/(pi*Wing Aspect Ratio GLD*Induced Drag Coefficient GLD)
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