Mean Aerodynamic Chord for Propeller-Driven Airplane Solution

STEP 0: Pre-Calculation Summary
Formula Used
Mean Aerodynamic Chord = (1/Reference Area)*int(Chord Length^2,x,-Wingspan/2,Wingspan/2)
cma = (1/S)*int(Lc^2,x,-b/2,b/2)
This formula uses 1 Functions, 4 Variables
Functions Used
int - The definite integral can be used to calculate net signed area, which is the area above the x -axis minus the area below the x -axis., int(expr, arg, from, to)
Variables Used
Mean Aerodynamic Chord - (Measured in Meter) - Mean Aerodynamic Chord is a two-dimensional representation of the whole wing.
Reference Area - (Measured in Square Meter) - The Reference Area is arbitrarily an area that is characteristic of the object being considered. For an aircraft wing, the wing's planform area is called the reference wing area or simply wing area.
Chord Length - (Measured in Meter) - Chord Length is the length of the airfoil from its leading edge to its trailing edge, parallel to the direction of airflow. It is typically measured in units such as inches, millimeters, or meters.
Wingspan - (Measured in Meter) - The Wingspan (or just span) of a bird or an airplane is the distance from one wingtip to the other wingtip.
STEP 1: Convert Input(s) to Base Unit
Reference Area: 5.08 Square Meter --> 5.08 Square Meter No Conversion Required
Chord Length: 3.8 Meter --> 3.8 Meter No Conversion Required
Wingspan: 50 Meter --> 50 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
cma = (1/S)*int(Lc^2,x,-b/2,b/2) --> (1/5.08)*int(3.8^2,x,-50/2,50/2)
Evaluating ... ...
cma = 142.125984251969
STEP 3: Convert Result to Output's Unit
142.125984251969 Meter --> No Conversion Required
FINAL ANSWER
142.125984251969 142.126 Meter <-- Mean Aerodynamic Chord
(Calculation completed in 00.004 seconds)

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Aircraft Dynamics Nomenclature Calculators

Aerodynamic Normal Force
​ LaTeX ​ Go Aerodynamic Normal Force = Normal Force Coefficient*Dynamic Pressure*Reference Area
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​ LaTeX ​ Go Aerodynamic Axial Force = Axial Force Coefficient*Dynamic Pressure*Reference Area
Side force coefficient
​ LaTeX ​ Go Side Force Coefficient = Aerodynamic Side Force/(Dynamic Pressure*Reference Area)
Aerodynamic Side Force
​ LaTeX ​ Go Aerodynamic Side Force = Side Force Coefficient*Dynamic Pressure*Reference Area

Mean Aerodynamic Chord for Propeller-Driven Airplane Formula

​LaTeX ​Go
Mean Aerodynamic Chord = (1/Reference Area)*int(Chord Length^2,x,-Wingspan/2,Wingspan/2)
cma = (1/S)*int(Lc^2,x,-b/2,b/2)

How to find mean aerodynamic chord ?

The mean aerodynamic chord c is defined as the chord length that, when multiplied by the wing area, the dynamic pressure and the moment coefficient about the aerodynamic center, yields the value of the aerodynamic moment about the airplane's aerodynamic center.

How to Calculate Mean Aerodynamic Chord for Propeller-Driven Airplane?

Mean Aerodynamic Chord for Propeller-Driven Airplane calculator uses Mean Aerodynamic Chord = (1/Reference Area)*int(Chord Length^2,x,-Wingspan/2,Wingspan/2) to calculate the Mean Aerodynamic Chord, Mean Aerodynamic Chord for Propeller-Driven Airplane is a mathematical representation that determines the average aerodynamic chord of a propeller-driven airplane, which is a crucial parameter in assessing its aerodynamic performance, by integrating the squared chord length over the entire wing span. Mean Aerodynamic Chord is denoted by cma symbol.

How to calculate Mean Aerodynamic Chord for Propeller-Driven Airplane using this online calculator? To use this online calculator for Mean Aerodynamic Chord for Propeller-Driven Airplane, enter Reference Area (S), Chord Length (Lc) & Wingspan (b) and hit the calculate button. Here is how the Mean Aerodynamic Chord for Propeller-Driven Airplane calculation can be explained with given input values -> 142.126 = (1/5.08)*int(3.8^2,x,-50/2,50/2).

FAQ

What is Mean Aerodynamic Chord for Propeller-Driven Airplane?
Mean Aerodynamic Chord for Propeller-Driven Airplane is a mathematical representation that determines the average aerodynamic chord of a propeller-driven airplane, which is a crucial parameter in assessing its aerodynamic performance, by integrating the squared chord length over the entire wing span and is represented as cma = (1/S)*int(Lc^2,x,-b/2,b/2) or Mean Aerodynamic Chord = (1/Reference Area)*int(Chord Length^2,x,-Wingspan/2,Wingspan/2). The Reference Area is arbitrarily an area that is characteristic of the object being considered. For an aircraft wing, the wing's planform area is called the reference wing area or simply wing area, Chord Length is the length of the airfoil from its leading edge to its trailing edge, parallel to the direction of airflow. It is typically measured in units such as inches, millimeters, or meters & The Wingspan (or just span) of a bird or an airplane is the distance from one wingtip to the other wingtip.
How to calculate Mean Aerodynamic Chord for Propeller-Driven Airplane?
Mean Aerodynamic Chord for Propeller-Driven Airplane is a mathematical representation that determines the average aerodynamic chord of a propeller-driven airplane, which is a crucial parameter in assessing its aerodynamic performance, by integrating the squared chord length over the entire wing span is calculated using Mean Aerodynamic Chord = (1/Reference Area)*int(Chord Length^2,x,-Wingspan/2,Wingspan/2). To calculate Mean Aerodynamic Chord for Propeller-Driven Airplane, you need Reference Area (S), Chord Length (Lc) & Wingspan (b). With our tool, you need to enter the respective value for Reference Area, Chord Length & Wingspan 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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