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Tail Efficiency for given Pitching Moment Coefficient Formula

GoTail Efficiency for given Tail Volume Ratio Formula

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

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

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

Tail Efficiency for given Pitching Moment Coefficient Example

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

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

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

0.9155 = - \frac{-0.39 \cdot 5.08 \cdot 0.2}{0.8015 \cdot 1.8 \cdot 0.3}

0.9155 = - \frac{-0.39 \cdot 5.08m² \cdot 0.2m}{0.8015m \cdot 1.8m² \cdot 0.3}

0.9155 = - \frac{-0.39 \cdot 5.08 \cdot 0.2}{0.8015 \cdot 1.8 \cdot 0.3}

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Tail Efficiency for given Pitching Moment Coefficient Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

η = - \frac{-0.39 \cdot 5.08m² \cdot 0.2m}{0.8015m \cdot 1.8m² \cdot 0.3}

Next Step Prepare to Evaluate

∴

η = - \frac{-0.39 \cdot 5.08 \cdot 0.2}{0.8015 \cdot 1.8 \cdot 0.3}

Next Step Evaluate

∴

η = 0.915493084658573

LAST Step Rounding Answer

∴

η = 0.9155

Tail Efficiency for given Pitching Moment Coefficient Formula Elements

Variables

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

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

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

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

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

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

Other Formulas to find Tail Efficiency

Go Tail Efficiency for given Tail Volume Ratio

η = - (\frac{Cm t}{V H \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 Efficiency for given Pitching Moment Coefficient?

Tail Efficiency for given Pitching Moment Coefficient evaluator uses Tail Efficiency = -(Tail Pitching Moment Coefficient*Reference Area*Mean Aerodynamic Chord)/(Horizontal Tail Moment Arm*Horizontal Tail Area*Tail Lift Coefficient) to evaluate the Tail Efficiency, Tail Efficiency for given Pitching Moment Coefficient is a measure of the effectiveness of an aircraft's horizontal tail in producing a pitching moment, relative to the reference area, mean aerodynamic chord, and lift coefficient of the tail, taking into account the pitching moment coefficient, reference area, and moment arm of the horizontal tail. Tail Efficiency is denoted by η symbol.

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

FAQs on Tail Efficiency for given Pitching Moment Coefficient

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

The formula of Tail Efficiency for given Pitching Moment Coefficient is expressed as Tail Efficiency = -(Tail Pitching Moment Coefficient*Reference Area*Mean Aerodynamic Chord)/(Horizontal Tail Moment Arm*Horizontal Tail Area*Tail Lift Coefficient). Here is an example- 0.915493 = -((-0.39)*5.08*0.2)/(0.801511*1.8*0.3).

How to calculate Tail Efficiency for given Pitching Moment Coefficient?

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

What are the other ways to Calculate Tail Efficiency?

Here are the different ways to Calculate Tail Efficiency-

Tail Efficiency=-(Tail Pitching Moment Coefficient/(Horizontal Tail Volume Ratio*Tail Lift Coefficient))

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Tail Efficiency for given Pitching Moment Coefficient Formula

​GoTail Efficiency for given Tail Volume Ratio Formula

Tail Efficiency for given Pitching Moment Coefficient Example

Tail Efficiency for given Pitching Moment Coefficient Solution

Tail Efficiency for given Pitching Moment Coefficient Formula Elements

Other Formulas to find Tail Efficiency

Other formulas in Tail Contribution category

How to Evaluate Tail Efficiency for given Pitching Moment Coefficient?

FAQs on Tail Efficiency for given Pitching Moment Coefficient

Variable Name

GoTail Efficiency for given Tail Volume Ratio Formula