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Pitching moment coefficient Formula

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Pitching Moment Coefficient is the coefficient associated with the moment that tends to rotate an airplane pitch axis. Check FAQs

C m = \frac{𝑴}{q \cdot S \cdot 𝓁}

C_m - Pitching Moment Coefficient?𝑴 - Pitching Moment?q - Dynamic Pressure?S - Reference Area?𝓁 - Characteristic Length?

Pitching moment coefficient Example

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Here is how the Pitching moment coefficient equation looks like with Values.

Here is how the Pitching moment coefficient equation looks like with Units.

Here is how the Pitching moment coefficient equation looks like.

0.5899 = \frac{17.98}{10 \cdot 5.08 \cdot 0.6}

0.5899 = \frac{17.98N*m}{10Pa \cdot 5.08m² \cdot 0.6m}

0.5899 = \frac{17.98}{10 \cdot 5.08 \cdot 0.6}

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Pitching moment coefficient Solution

Follow our step by step solution on how to calculate Pitching moment coefficient?

FIRST Step Consider the formula

C m = \frac{𝑴}{q \cdot S \cdot 𝓁}

Next Step Substitute values of Variables

∴

C m = \frac{17.98N*m}{10Pa \cdot 5.08m² \cdot 0.6m}

Next Step Prepare to Evaluate

∴

C m = \frac{17.98}{10 \cdot 5.08 \cdot 0.6}

Next Step Evaluate

∴

C m = 0.58989501312336

LAST Step Rounding Answer

∴

C m = 0.5899

Pitching moment coefficient Formula Elements

Variables

Pitching Moment Coefficient

Pitching Moment Coefficient is the coefficient associated with the moment that tends to rotate an airplane pitch axis.

Symbol: C_m

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Pitching Moment Coefficient

Pitching Moment

Pitching Moment is the moment acting on the airplane about its pitch axis.

Symbol: 𝑴

Measurement: Moment of ForceUnit: N*m

Note: Value can be positive or negative.

Formulas to find Pitching Moment

Dynamic Pressure

Dynamic Pressure is simply a convenient name for the quantity which represents the decrease in the pressure due to the velocity of the fluid.

Symbol: q

Measurement: PressureUnit: Pa

Note: Value should be greater than 0.

Formulas to find Dynamic Pressure

Reference Area

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.

Symbol: S

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Reference Area

Characteristic Length

Characteristic Length (used in aerodynamics) is a reference length characteristic of the object under consideration.

Symbol: 𝓁

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Characteristic Length

Other formulas in Aircraft Dynamics Nomenclature category

Go Aerodynamic Axial Force

X = C x \cdot q \cdot S

Go Aerodynamic Side Force

Y = C y \cdot q \cdot S

Go Aerodynamic Normal Force

Z = C z \cdot q \cdot S

Go Side force coefficient

C y = \frac{Y}{q \cdot S}

How to Evaluate Pitching moment coefficient?

Pitching moment coefficient evaluator uses Pitching Moment Coefficient = Pitching Moment/(Dynamic Pressure*Reference Area*Characteristic Length) to evaluate 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 evaluate Pitching moment coefficient using this online evaluator? To use this online evaluator for Pitching moment coefficient, enter Pitching Moment (𝑴), Dynamic Pressure (q), Reference Area (S) & Characteristic Length (𝓁) and hit the calculate button.

FAQs on Pitching moment coefficient

What is the formula to find Pitching moment coefficient?

The formula of Pitching moment coefficient is expressed as Pitching Moment Coefficient = Pitching Moment/(Dynamic Pressure*Reference Area*Characteristic Length). Here is an example- 0.018045 = 17.98/(10*5.08*0.6).

How to calculate Pitching moment coefficient?

With Pitching Moment (𝑴), Dynamic Pressure (q), Reference Area (S) & Characteristic Length (𝓁) we can find Pitching moment coefficient using the formula - Pitching Moment Coefficient = Pitching Moment/(Dynamic Pressure*Reference Area*Characteristic Length).

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Pitching moment coefficient Formula

Pitching moment coefficient Example

Pitching moment coefficient Solution

Pitching moment coefficient Formula Elements

Other formulas in Aircraft Dynamics Nomenclature category

How to Evaluate Pitching moment coefficient?

FAQs on Pitching moment coefficient

Variable Name