Pitching moment Calculator

✖Pitching Moment Coefficient is the coefficient associated with the moment that tends to rotate an airplane pitch axis.ⓘ Pitching Moment Coefficient [C_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 is the moment acting on the airplane about its pitch axis.ⓘ Pitching moment [𝑴]

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Pitching moment Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

Pitching Moment - (Measured in Newton Meter) - Pitching Moment is the moment acting on the airplane about its pitch axis.
Pitching Moment Coefficient - Pitching Moment Coefficient is the coefficient associated with the moment that tends to rotate an airplane 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 Coefficient: 0.59 --> 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

𝑴 = C_m*q*S*𝓁 --> 0.59*10*5.08*0.6

Evaluating ... ...

𝑴 = 17.9832

STEP 3: Convert Result to Output's Unit

17.9832 Newton Meter --> No Conversion Required

FINAL ANSWER

17.9832 Newton Meter <-- Pitching Moment

(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 Formula

LaTeX Go

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

What is the characteristic length for calculating pitching moment?

Characteristic length is taken as the mean chord length for the pitching moment of an aircraft. In aeronautics, a chord is the imaginary straight line joining the leading edge and trailing edge of an aerofoil. The chord length is the distance between the trailing edge and the point where the chord intersects the leading edge.

How to Calculate Pitching moment?

Pitching moment calculator uses Pitching Moment = Pitching Moment Coefficient*Dynamic Pressure*Reference Area*Characteristic Length to calculate the Pitching Moment, The pitching moment is a measure of the turning force around a pitch axis, typically used to describe the rotational motion of an object, such as an aircraft or a ship, and is critical in understanding the stability and control of the vehicle, it is an essential concept in aerodynamics and naval architecture. Pitching Moment is denoted by 𝑴 symbol.

How to calculate Pitching moment using this online calculator? To use this online calculator for Pitching moment, enter Pitching Moment Coefficient (C_m), Dynamic Pressure (q), Reference Area (S) & Characteristic Length (𝓁) and hit the calculate button. Here is how the Pitching moment calculation can be explained with given input values -> 17.9832 = 0.59*10*5.08*0.6.

FAQ

What is Pitching moment?

The pitching moment is a measure of the turning force around a pitch axis, typically used to describe the rotational motion of an object, such as an aircraft or a ship, and is critical in understanding the stability and control of the vehicle, it is an essential concept in aerodynamics and naval architecture and is represented as 𝑴 = C_m*q*S*𝓁 or Pitching Moment = Pitching Moment Coefficient*Dynamic Pressure*Reference Area*Characteristic Length. Pitching Moment Coefficient is the coefficient associated with the moment that tends to rotate an airplane 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?

The pitching moment is a measure of the turning force around a pitch axis, typically used to describe the rotational motion of an object, such as an aircraft or a ship, and is critical in understanding the stability and control of the vehicle, it is an essential concept in aerodynamics and naval architecture is calculated using Pitching Moment = Pitching Moment Coefficient*Dynamic Pressure*Reference Area*Characteristic Length. To calculate Pitching moment, you need Pitching Moment Coefficient (C_m), Dynamic Pressure (q), Reference Area (S) & Characteristic Length (𝓁). With our tool, you need to enter the respective value for Pitching Moment Coefficient, 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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