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Mean Aerodynamic Chord for given Tail Pitching Moment Coefficient Formula

GoWing Mean Aerodynamic Chord for given Horizontal Tail Volume Ratio Formula

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The Mean Aerodynamic Chord is a two-dimensional representation of the whole wing. Check FAQs

c ma = \frac{M t}{0.5 \cdot ρ ∞ \cdot V^{2} \cdot S \cdot Cm t}

c_ma - Mean Aerodynamic Chord?M_t - Pitching Moment due to Tail?ρ_∞ - Freestream Density?V - Flight Velocity?S - Reference Area?Cm_t - Tail Pitching Moment Coefficient?

Mean Aerodynamic Chord for given Tail Pitching Moment Coefficient Example

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Here is how the Mean Aerodynamic Chord for given Tail Pitching Moment Coefficient equation looks like with Values.

Here is how the Mean Aerodynamic Chord for given Tail Pitching Moment Coefficient equation looks like with Units.

Here is how the Mean Aerodynamic Chord for given Tail Pitching Moment Coefficient equation looks like.

0.2002 = \frac{-218.6644}{0.5 \cdot 1.225 \cdot 30^{2} \cdot 5.08 \cdot -0.39}

0.2002m = \frac{-218.6644N*m}{0.5 \cdot 1.225kg/m³ \cdot {30m/s}^{2} \cdot 5.08m² \cdot -0.39}

0.2002 = \frac{-218.6644}{0.5 \cdot 1.225 \cdot 30^{2} \cdot 5.08 \cdot -0.39}

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Mean Aerodynamic Chord for given Tail Pitching Moment Coefficient Solution

Follow our step by step solution on how to calculate Mean Aerodynamic Chord for given Tail Pitching Moment Coefficient?

FIRST Step Consider the formula

c ma = \frac{M t}{0.5 \cdot ρ ∞ \cdot V^{2} \cdot S \cdot Cm t}

Next Step Substitute values of Variables

∴

c ma = \frac{-218.6644N*m}{0.5 \cdot 1.225kg/m³ \cdot {30m/s}^{2} \cdot 5.08m² \cdot -0.39}

Next Step Prepare to Evaluate

∴

c ma = \frac{-218.6644}{0.5 \cdot 1.225 \cdot 30^{2} \cdot 5.08 \cdot -0.39}

Next Step Evaluate

∴

c ma = 0.200217097404949m

LAST Step Rounding Answer

∴

c ma = 0.2002m

Mean Aerodynamic Chord for given Tail Pitching Moment Coefficient Formula Elements

Variables

Mean Aerodynamic Chord

The Mean Aerodynamic Chord is a two-dimensional representation of the whole wing.

Symbol: c_ma

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Mean Aerodynamic Chord

Pitching Moment due to Tail

Pitching Moment due to Tail is the pitching moment of the tail about the aircraft's center of gravity.

Symbol: M_t

Measurement: Moment of ForceUnit: N*m

Note: Value can be positive or negative.

Formulas to find Pitching Moment due to Tail

Freestream Density

Freestream Density is the mass per unit volume of air far upstream of an aerodynamic body at a given altitude.

Symbol: ρ_∞

Measurement: DensityUnit: kg/m³

Note: Value can be positive or negative.

Formulas to find Freestream Density

Flight Velocity

Flight Velocity refers to the speed at which an aircraft moves through the air.

Symbol: V

Measurement: SpeedUnit: m/s

Note: Value can be positive or negative.

Formulas to find Flight Velocity

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

Tail Pitching Moment Coefficient

Tail Pitching Moment Coefficient is the coefficient of pitching moment associated with the horizontal tail of an aircraft.

Symbol: Cm_t

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Tail Pitching Moment Coefficient

Other Formulas to find Mean Aerodynamic Chord

Go Wing Mean Aerodynamic Chord for given Horizontal Tail Volume Ratio

c ma = 𝒍 t \cdot \frac{S t}{S \cdot V H}

Other formulas in Tail Contribution category

Go Tail Pitching Moment for given Lift Coefficient

M t = - \frac{𝒍 t \cdot CT lift \cdot ρ ∞ \cdot {V tail}^{2} \cdot S t}{2}

Go Tail Lift for given Tail Pitching Moment

L t = - (\frac{M t}{𝒍 t})

Go Pitching Moment due to Tail

M t = - 𝒍 t \cdot L t

Go Tail Pitching Moment for given Moment Coefficient

M t = \frac{Cm t \cdot ρ ∞ \cdot V^{2} \cdot S \cdot c ma}{2}

How to Evaluate Mean Aerodynamic Chord for given Tail Pitching Moment Coefficient?

Mean Aerodynamic Chord for given Tail Pitching Moment Coefficient evaluator uses Mean Aerodynamic Chord = Pitching Moment due to Tail/(0.5*Freestream Density*Flight Velocity^2*Reference Area*Tail Pitching Moment Coefficient) to evaluate the Mean Aerodynamic Chord, Mean Aerodynamic Chord for given Tail Pitching Moment Coefficient is a measure of the average distance from the root of the tail to the centroid of the tail, calculated based on the pitching moment coefficient of the tail, freestream density, velocity, reference area, and tail pitching moment coefficient, which is essential in understanding the stability and control of an aircraft during flight. Mean Aerodynamic Chord is denoted by c_ma symbol.

How to evaluate Mean Aerodynamic Chord for given Tail Pitching Moment Coefficient using this online evaluator? To use this online evaluator for Mean Aerodynamic Chord for given Tail Pitching Moment Coefficient, enter Pitching Moment due to Tail (M_t), Freestream Density (ρ_∞), Flight Velocity (V), Reference Area (S) & Tail Pitching Moment Coefficient (Cm_t) and hit the calculate button.

FAQs on Mean Aerodynamic Chord for given Tail Pitching Moment Coefficient

What is the formula to find Mean Aerodynamic Chord for given Tail Pitching Moment Coefficient?

The formula of Mean Aerodynamic Chord for given Tail Pitching Moment Coefficient is expressed as Mean Aerodynamic Chord = Pitching Moment due to Tail/(0.5*Freestream Density*Flight Velocity^2*Reference Area*Tail Pitching Moment Coefficient). Here is an example- 0.200217 = (-218.6644)/(0.5*1.225*30^2*5.08*(-0.39)).

How to calculate Mean Aerodynamic Chord for given Tail Pitching Moment Coefficient?

With Pitching Moment due to Tail (M_t), Freestream Density (ρ_∞), Flight Velocity (V), Reference Area (S) & Tail Pitching Moment Coefficient (Cm_t) we can find Mean Aerodynamic Chord for given Tail Pitching Moment Coefficient using the formula - Mean Aerodynamic Chord = Pitching Moment due to Tail/(0.5*Freestream Density*Flight Velocity^2*Reference Area*Tail Pitching Moment Coefficient).

What are the other ways to Calculate Mean Aerodynamic Chord?

Here are the different ways to Calculate Mean Aerodynamic Chord-

Mean Aerodynamic Chord=Horizontal Tail Moment Arm*Horizontal Tail Area/(Reference Area*Horizontal Tail Volume Ratio)

Can the Mean Aerodynamic Chord for given Tail Pitching Moment Coefficient be negative?

No, the Mean Aerodynamic Chord for given Tail Pitching Moment Coefficient, measured in Length cannot be negative.

Which unit is used to measure Mean Aerodynamic Chord for given Tail Pitching Moment Coefficient?

Mean Aerodynamic Chord for given Tail Pitching Moment Coefficient is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Mean Aerodynamic Chord for given Tail Pitching Moment Coefficient can be measured.

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Mean Aerodynamic Chord for given Tail Pitching Moment Coefficient Formula

​GoWing Mean Aerodynamic Chord for given Horizontal Tail Volume Ratio Formula

Mean Aerodynamic Chord for given Tail Pitching Moment Coefficient Example

Mean Aerodynamic Chord for given Tail Pitching Moment Coefficient Solution

Mean Aerodynamic Chord for given Tail Pitching Moment Coefficient Formula Elements

Other Formulas to find Mean Aerodynamic Chord

Other formulas in Tail Contribution category

How to Evaluate Mean Aerodynamic Chord for given Tail Pitching Moment Coefficient?

FAQs on Mean Aerodynamic Chord for given Tail Pitching Moment Coefficient

Variable Name

GoWing Mean Aerodynamic Chord for given Horizontal Tail Volume Ratio Formula