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Tail Moment Arm for given Tail Moment Coefficient Formula

GoTail moment arm for given horizontal tail volume ratio Formula

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

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

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

Tail Moment Arm for given Tail Moment Coefficient Example

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

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

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

0.7976 = - \frac{-0.39 \cdot 5.08 \cdot 0.2}{0.92 \cdot 1.8 \cdot 0.3}

0.7976m = - \frac{-0.39 \cdot 5.08m² \cdot 0.2m}{0.92 \cdot 1.8m² \cdot 0.3}

0.7976 = - \frac{-0.39 \cdot 5.08 \cdot 0.2}{0.92 \cdot 1.8 \cdot 0.3}

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Tail Moment Arm for given Tail Moment Coefficient Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

𝒍 t = - \frac{-0.39 \cdot 5.08m² \cdot 0.2m}{0.92 \cdot 1.8m² \cdot 0.3}

Next Step Prepare to Evaluate

∴

𝒍 t = - \frac{-0.39 \cdot 5.08 \cdot 0.2}{0.92 \cdot 1.8 \cdot 0.3}

Next Step Evaluate

∴

𝒍 t = 0.797584541062802m

LAST Step Rounding Answer

∴

𝒍 t = 0.7976m

Tail Moment Arm for given Tail Moment Coefficient Formula Elements

Variables

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 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

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

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 Horizontal Tail Moment Arm

Go Tail moment arm for given horizontal tail volume ratio

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

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 Moment Arm for given Tail Moment Coefficient?

Tail Moment Arm for given Tail Moment Coefficient evaluator uses Horizontal Tail Moment Arm = -(Tail Pitching Moment Coefficient*Reference Area*Mean Aerodynamic Chord)/(Tail Efficiency*Horizontal Tail Area*Tail Lift Coefficient) to evaluate the Horizontal Tail Moment Arm, Tail Moment Arm for given Tail Moment Coefficient is a measure that calculates the distance from the aircraft's center of gravity to the aerodynamic center, considering the tail's pitching moment coefficient, reference area, mean aerodynamic chord, efficiency, and lift coefficient, this calculation is essential in aircraft design to determine the tail's contribution to the overall stability and control of the aircraft. Horizontal Tail Moment Arm is denoted by 𝒍_t symbol.

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

FAQs on Tail Moment Arm for given Tail Moment Coefficient

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

The formula of Tail Moment Arm for given Tail Moment Coefficient is expressed as Horizontal Tail Moment Arm = -(Tail Pitching Moment Coefficient*Reference Area*Mean Aerodynamic Chord)/(Tail Efficiency*Horizontal Tail Area*Tail Lift Coefficient). Here is an example- 0.797585 = -((-0.39)*5.08*0.2)/(0.92*1.8*0.3).

How to calculate Tail Moment Arm for given Tail Moment Coefficient?

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

What are the other ways to Calculate Horizontal Tail Moment Arm?

Here are the different ways to Calculate Horizontal Tail Moment Arm-

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

Can the Tail Moment Arm for given Tail Moment Coefficient be negative?

Yes, the Tail Moment Arm for given Tail Moment Coefficient, measured in Length can be negative.

Which unit is used to measure Tail Moment Arm for given Tail Moment Coefficient?

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

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Tail Moment Arm for given Tail Moment Coefficient Formula

​GoTail moment arm for given horizontal tail volume ratio Formula

Tail Moment Arm for given Tail Moment Coefficient Example

Tail Moment Arm for given Tail Moment Coefficient Solution

Tail Moment Arm for given Tail Moment Coefficient Formula Elements

Other Formulas to find Horizontal Tail Moment Arm

Other formulas in Tail Contribution category

How to Evaluate Tail Moment Arm for given Tail Moment Coefficient?

FAQs on Tail Moment Arm for given Tail Moment Coefficient

Variable Name

GoTail moment arm for given horizontal tail volume ratio Formula