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Tail Pitching Moment Coefficient for given Tail Efficiency Formula

GoTail Pitching Moment Coefficient Formula

GoTail Pitching Moment Coefficient for given Tail Volume Ratio Formula

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

Cm t = - \frac{η \cdot S t \cdot 𝒍 t \cdot CT lift}{S \cdot c ma}

Cm_t - Tail Pitching Moment Coefficient?η - Tail Efficiency?S_t - Horizontal Tail Area?𝒍_t - Horizontal Tail Moment Arm?CT_lift - Tail Lift Coefficient?S - Reference Area?c_ma - Mean Aerodynamic Chord?

Tail Pitching Moment Coefficient for given Tail Efficiency Example

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

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

Here is how the Tail Pitching Moment Coefficient for given Tail Efficiency equation looks like.

-0.3919 = - \frac{0.92 \cdot 1.8 \cdot 0.8015 \cdot 0.3}{5.08 \cdot 0.2}

-0.3919 = - \frac{0.92 \cdot 1.8m² \cdot 0.8015m \cdot 0.3}{5.08m² \cdot 0.2m}

-0.3919 = - \frac{0.92 \cdot 1.8 \cdot 0.8015 \cdot 0.3}{5.08 \cdot 0.2}

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Tail Pitching Moment Coefficient for given Tail Efficiency Solution

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

FIRST Step Consider the formula

Cm t = - \frac{η \cdot S t \cdot 𝒍 t \cdot CT lift}{S \cdot c ma}

Next Step Substitute values of Variables

∴

Cm t = - \frac{0.92 \cdot 1.8m² \cdot 0.8015m \cdot 0.3}{5.08m² \cdot 0.2m}

Next Step Prepare to Evaluate

∴

Cm t = - \frac{0.92 \cdot 1.8 \cdot 0.8015 \cdot 0.3}{5.08 \cdot 0.2}

Next Step Evaluate

∴

Cm t = -0.391919945669291

LAST Step Rounding Answer

∴

Cm t = -0.3919

Tail Pitching Moment Coefficient for given Tail Efficiency Formula Elements

Variables

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

Tail Efficiency

Tail Efficiency is defined as the ratio of dynamic pressure associated with the tail to dynamic pressure associated with an aircraft's wing.

Symbol: η

Measurement: NAUnit: Unitless

Note: Value should be between 0.8 to 1.2.

Formulas to find Tail Efficiency

Horizontal Tail Area

The Horizontal Tail Area is the surface area of the horizontal stabilizer on an aircraft, which provides pitch stability and control.

Symbol: S_t

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Horizontal Tail Area

Horizontal Tail Moment Arm

The Horizontal Tail Moment Arm is the distance between the lift center of the horizontal tail and the center of gravity of the aircraft.

Symbol: 𝒍_t

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Horizontal Tail Moment Arm

Tail Lift Coefficient

Tail Lift Coefficient is the lift coefficient associated with the tail (only) of an aircraft. It is a dimensionless quantity.

Symbol: CT_lift

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Tail Lift Coefficient

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

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

Other Formulas to find Tail Pitching Moment Coefficient

Go Tail Pitching Moment Coefficient

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

Go Tail Pitching Moment Coefficient for given Tail Volume Ratio

Cm t = - V H \cdot η \cdot CT lift

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})

How to Evaluate Tail Pitching Moment Coefficient for given Tail Efficiency?

Tail Pitching Moment Coefficient for given Tail Efficiency evaluator uses Tail Pitching Moment Coefficient = -(Tail Efficiency*Horizontal Tail Area*Horizontal Tail Moment Arm*Tail Lift Coefficient)/(Reference Area*Mean Aerodynamic Chord) to evaluate the Tail Pitching Moment Coefficient, Tail Pitching Moment Coefficient for given Tail Efficiency is a measure that characterizes the pitching moment generated by the tail section of an aircraft, taking into account the efficiency of the tail, horizontal tail area, moment arm, and lift coefficient, in relation to the reference area and mean aerodynamic chord, providing a comprehensive understanding of the tail's influence on the aircraft's stability and control. Tail Pitching Moment Coefficient is denoted by Cm_t symbol.

How to evaluate Tail Pitching Moment Coefficient for given Tail Efficiency using this online evaluator? To use this online evaluator for Tail Pitching Moment Coefficient for given Tail Efficiency, enter Tail Efficiency (η), Horizontal Tail Area (S_t), Horizontal Tail Moment Arm (𝒍_t), Tail Lift Coefficient (CT_lift), Reference Area (S) & Mean Aerodynamic Chord (c_ma) and hit the calculate button.

FAQs on Tail Pitching Moment Coefficient for given Tail Efficiency

What is the formula to find Tail Pitching Moment Coefficient for given Tail Efficiency?

The formula of Tail Pitching Moment Coefficient for given Tail Efficiency is expressed as Tail Pitching Moment Coefficient = -(Tail Efficiency*Horizontal Tail Area*Horizontal Tail Moment Arm*Tail Lift Coefficient)/(Reference Area*Mean Aerodynamic Chord). Here is an example- -0.39192 = -(0.92*1.8*0.801511*0.3)/(5.08*0.2).

How to calculate Tail Pitching Moment Coefficient for given Tail Efficiency?

With Tail Efficiency (η), Horizontal Tail Area (S_t), Horizontal Tail Moment Arm (𝒍_t), Tail Lift Coefficient (CT_lift), Reference Area (S) & Mean Aerodynamic Chord (c_ma) we can find Tail Pitching Moment Coefficient for given Tail Efficiency using the formula - Tail Pitching Moment Coefficient = -(Tail Efficiency*Horizontal Tail Area*Horizontal Tail Moment Arm*Tail Lift Coefficient)/(Reference Area*Mean Aerodynamic Chord).

What are the other ways to Calculate Tail Pitching Moment Coefficient?

Here are the different ways to Calculate Tail Pitching Moment Coefficient-

Tail Pitching Moment Coefficient=Pitching Moment due to Tail/(0.5*Freestream Density*Flight Velocity^2*Reference Area*Mean Aerodynamic Chord)
Tail Pitching Moment Coefficient=-Horizontal Tail Volume Ratio*Tail Efficiency*Tail Lift Coefficient

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Tail Pitching Moment Coefficient for given Tail Efficiency Formula

​GoTail Pitching Moment Coefficient Formula

​GoTail Pitching Moment Coefficient for given Tail Volume Ratio Formula

Tail Pitching Moment Coefficient for given Tail Efficiency Example

Tail Pitching Moment Coefficient for given Tail Efficiency Solution

Tail Pitching Moment Coefficient for given Tail Efficiency Formula Elements

Other Formulas to find Tail Pitching Moment Coefficient

Other formulas in Tail Contribution category

How to Evaluate Tail Pitching Moment Coefficient for given Tail Efficiency?

FAQs on Tail Pitching Moment Coefficient for given Tail Efficiency

Variable Name

GoTail Pitching Moment Coefficient Formula

GoTail Pitching Moment Coefficient for given Tail Volume Ratio Formula