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Moment Coefficient Formula

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The Moment Coefficient is divided by the dynamic pressure, the area and the chord of the airfoil, the result is known as the pitching moment coefficient. Check FAQs

C m = \frac{M t}{q \cdot A \cdot L c}

C_m - Moment Coefficient?M_t - Moment?q - Dynamic Pressure?A - Area For Flow?L_c - Chord Length?

Moment Coefficient Example

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Here is how the Moment Coefficient equation looks like with Values.

Here is how the Moment Coefficient equation looks like with Units.

Here is how the Moment Coefficient equation looks like.

0.0311 = \frac{59}{10 \cdot 50 \cdot 3.8}

0.0311 = \frac{59N*m}{10Pa \cdot 50m² \cdot 3.8m}

0.0311 = \frac{59}{10 \cdot 50 \cdot 3.8}

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Moment Coefficient Solution

Follow our step by step solution on how to calculate Moment Coefficient?

FIRST Step Consider the formula

C m = \frac{M t}{q \cdot A \cdot L c}

Next Step Substitute values of Variables

∴

C m = \frac{59N*m}{10Pa \cdot 50m² \cdot 3.8m}

Next Step Convert Units

∴

C m = \frac{59J}{10Pa \cdot 50m² \cdot 3.8m}

Next Step Prepare to Evaluate

∴

C m = \frac{59}{10 \cdot 50 \cdot 3.8}

Next Step Evaluate

∴

C m = 0.0310526315789474

LAST Step Rounding Answer

∴

C m = 0.0311

Moment Coefficient Formula Elements

Variables

Moment Coefficient

The Moment Coefficient is divided by the dynamic pressure, the area and the chord of the airfoil, the result is known as the pitching moment coefficient.

Symbol: C_m

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Moment Coefficient

Moment

Moment is an overturning effect (tends to bend or turn the member) created by the force(load) acting on a structural member.

Symbol: M_t

Measurement: EnergyUnit: N*m

Note: Value can be positive or negative.

Formulas to find 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

Area For Flow

Area For Flow decreases velocity increases and vice versa. For subsonic flows, M < 1, the behavior resembles that for incompressible flows.

Symbol: A

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Area For Flow

Chord Length

Chord Length is the length of a line segment connecting any two points on the circumference of a circle.

Symbol: L_c

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Chord Length

Other formulas in Hypersonic Flow Parameters category

Go Axial Force Coefficient

μ = \frac{F}{q \cdot A}

Go Coefficient of Drag

C D = \frac{F D}{q \cdot A}

Go Coefficient of Pressure with Similarity Parameters

C p = 2 \cdot θ^{2} \cdot (\frac{Y + 1}{4} + \sqrt{{(\frac{Y + 1}{4})}^{2} + \frac{1}{K^{2}}})

Go Deflection Angle

θ d = \frac{2}{Y - 1} \cdot (\frac{1}{M 1} - \frac{1}{M 2})

How to Evaluate Moment Coefficient?

Moment Coefficient evaluator uses Moment Coefficient = Moment/(Dynamic Pressure*Area For Flow*Chord Length) to evaluate the Moment Coefficient, Moment Coefficient formula is defined as a dimensionless quantity used to describe the characteristics of hypersonic flow, providing a measure of the momentum of a fluid in relation to its mass flow rate and cross-sectional area. Moment Coefficient is denoted by C_m symbol.

How to evaluate Moment Coefficient using this online evaluator? To use this online evaluator for Moment Coefficient, enter Moment (M_t), Dynamic Pressure (q), Area For Flow (A) & Chord Length (L_c) and hit the calculate button.

FAQs on Moment Coefficient

What is the formula to find Moment Coefficient?

The formula of Moment Coefficient is expressed as Moment Coefficient = Moment/(Dynamic Pressure*Area For Flow*Chord Length). Here is an example- 0.031053 = 59/(10*50*3.8).

How to calculate Moment Coefficient?

With Moment (M_t), Dynamic Pressure (q), Area For Flow (A) & Chord Length (L_c) we can find Moment Coefficient using the formula - Moment Coefficient = Moment/(Dynamic Pressure*Area For Flow*Chord Length).

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Moment Coefficient Formula

Moment Coefficient Example

Moment Coefficient Solution

Moment Coefficient Formula Elements

Other formulas in Hypersonic Flow Parameters category

How to Evaluate Moment Coefficient?

FAQs on Moment Coefficient

Variable Name