Pitching moment coefficient Calculator

✖Pitching Moment is the moment acting on the airplane about its pitch axis.ⓘ Pitching Moment [𝑴]			+10% -10%
✖Dynamic Pressure is simply a convenient name for the quantity which represents the decrease in the pressure due to the velocity of the fluid.ⓘ Dynamic Pressure [q]			+10% -10%
✖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.ⓘ Reference Area [S]			+10% -10%
✖Characteristic Length (used in aerodynamics) is a reference length characteristic of the object under consideration.ⓘ Characteristic Length [𝓁]			+10% -10%

✖Pitching Moment Coefficient is the coefficient associated with the moment that tends to rotate an airplane pitch axis.ⓘ Pitching moment coefficient [C_m]

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Pitching moment coefficient Solution

STEP 0: Pre-Calculation Summary

Formula Used

Pitching Moment Coefficient = Pitching Moment/(Dynamic Pressure*Reference Area*Characteristic Length)
C_m = 𝑴/(q*S*𝓁)
This formula uses 5 Variables

Variables Used

Pitching Moment Coefficient - Pitching Moment Coefficient is the coefficient associated with the moment that tends to rotate an airplane pitch axis.
Pitching Moment - (Measured in Newton Meter) - Pitching Moment is the moment acting on the airplane about its pitch axis.
Dynamic Pressure - (Measured in Pascal) - Dynamic Pressure is simply a convenient name for the quantity which represents the decrease in the pressure due to the velocity of the fluid.
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.
Characteristic Length - (Measured in Meter) - Characteristic Length (used in aerodynamics) is a reference length characteristic of the object under consideration.

STEP 1: Convert Input(s) to Base Unit

Pitching Moment: 17.98 Newton Meter --> 17.98 Newton Meter No Conversion Required
Dynamic Pressure: 10 Pascal --> 10 Pascal No Conversion Required
Reference Area: 5.08 Square Meter --> 5.08 Square Meter No Conversion Required
Characteristic Length: 0.6 Meter --> 0.6 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

C_m = 𝑴/(q*S*𝓁) --> 17.98/(10*5.08*0.6)

Evaluating ... ...

C_m = 0.58989501312336

STEP 3: Convert Result to Output's Unit

0.58989501312336 --> No Conversion Required

FINAL ANSWER

0.58989501312336 ≈ 0.589895 <-- Pitching Moment Coefficient

(Calculation completed in 00.004 seconds)

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Created by Vinay Mishra

Indian Institute for Aeronautical Engineering and Information Technology (IIAEIT), Pune

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Verified by Shikha Maurya

Indian Institute of Technology (IIT), Bombay

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< Aircraft Dynamics Nomenclature Calculators

Aerodynamic Normal Force

LaTeX Go Aerodynamic Normal Force = Normal Force Coefficient*Dynamic Pressure*Reference Area

Aerodynamic Axial Force

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

Pitching moment coefficient Formula

LaTeX Go

Pitching Moment Coefficient = Pitching Moment/(Dynamic Pressure*Reference Area*Characteristic Length)
C_m = 𝑴/(q*S*𝓁)

What is pitch axis?

The pitch axis (also called transverse or lateral axis) has its origin at the center of gravity and is directed to the right, parallel to a line drawn from wingtip to wingtip.

How to Calculate Pitching moment coefficient?

Pitching moment coefficient calculator uses Pitching Moment Coefficient = Pitching Moment/(Dynamic Pressure*Reference Area*Characteristic Length) to calculate the Pitching Moment Coefficient, The pitching moment coefficient is a dimensionless quantity that characterizes the rotational force around a particular axis, essential in understanding the stability and control of aircraft, missiles, and other bodies experiencing rotational motion, it is a critical parameter in aerodynamics and aerospace engineering, influencing the design and performance of various aerial vehicles. Pitching Moment Coefficient is denoted by C_m symbol.

How to calculate Pitching moment coefficient using this online calculator? To use this online calculator for Pitching moment coefficient, enter Pitching Moment (𝑴), Dynamic Pressure (q), Reference Area (S) & Characteristic Length (𝓁) and hit the calculate button. Here is how the Pitching moment coefficient calculation can be explained with given input values -> 0.018045 = 17.98/(10*5.08*0.6).

FAQ

What is Pitching moment coefficient?

The pitching moment coefficient is a dimensionless quantity that characterizes the rotational force around a particular axis, essential in understanding the stability and control of aircraft, missiles, and other bodies experiencing rotational motion, it is a critical parameter in aerodynamics and aerospace engineering, influencing the design and performance of various aerial vehicles and is represented as C_m = 𝑴/(q*S*𝓁) or Pitching Moment Coefficient = Pitching Moment/(Dynamic Pressure*Reference Area*Characteristic Length). Pitching Moment is the moment acting on the airplane about its pitch axis, Dynamic Pressure is simply a convenient name for the quantity which represents the decrease in the pressure due to the velocity of the fluid, 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 & Characteristic Length (used in aerodynamics) is a reference length characteristic of the object under consideration.

How to calculate Pitching moment coefficient?

The pitching moment coefficient is a dimensionless quantity that characterizes the rotational force around a particular axis, essential in understanding the stability and control of aircraft, missiles, and other bodies experiencing rotational motion, it is a critical parameter in aerodynamics and aerospace engineering, influencing the design and performance of various aerial vehicles is calculated using Pitching Moment Coefficient = Pitching Moment/(Dynamic Pressure*Reference Area*Characteristic Length). To calculate Pitching moment coefficient, you need Pitching Moment (𝑴), Dynamic Pressure (q), Reference Area (S) & Characteristic Length (𝓁). With our tool, you need to enter the respective value for Pitching Moment, Dynamic Pressure, Reference Area & Characteristic Length 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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