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Tail moment arm for given horizontal tail volume ratio Formula

GoTail Moment Arm for given Tail Moment Coefficient 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 = V H \cdot S \cdot \frac{c ma}{S t}

𝒍_t - Horizontal Tail Moment Arm?V_H - Horizontal Tail Volume Ratio?S - Reference Area?c_ma - Mean Aerodynamic Chord?S_t - Horizontal Tail Area?

Tail moment arm for given horizontal tail volume ratio Example

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Here is how the Tail moment arm for given horizontal tail volume ratio equation looks like with Values.

Here is how the Tail moment arm for given horizontal tail volume ratio equation looks like with Units.

Here is how the Tail moment arm for given horizontal tail volume ratio equation looks like.

0.8015 = 1.42 \cdot 5.08 \cdot \frac{0.2}{1.8}

0.8015m = 1.42 \cdot 5.08m² \cdot \frac{0.2m}{1.8m²}

0.8015 = 1.42 \cdot 5.08 \cdot \frac{0.2}{1.8}

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Tail moment arm for given horizontal tail volume ratio Solution

Follow our step by step solution on how to calculate Tail moment arm for given horizontal tail volume ratio?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

𝒍 t = 1.42 \cdot 5.08m² \cdot \frac{0.2m}{1.8m²}

Next Step Prepare to Evaluate

∴

𝒍 t = 1.42 \cdot 5.08 \cdot \frac{0.2}{1.8}

Next Step Evaluate

∴

𝒍 t = 0.801511111111111m

LAST Step Rounding Answer

∴

𝒍 t = 0.8015m

Tail moment arm for given horizontal tail volume ratio 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

Horizontal Tail Volume Ratio

Horizontal Tail Volume Ratio relates the area of the horizontal tail, the distance between tail and aircraft's c.g., the wing area, and the mean aerodynamic wing chord.

Symbol: V_H

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Horizontal Tail Volume Ratio

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 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

Other Formulas to find Horizontal Tail Moment Arm

Go Tail Moment Arm for given Tail Moment Coefficient

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

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 Tail moment arm for given horizontal tail volume ratio?

Tail moment arm for given horizontal tail volume ratio evaluator uses Horizontal Tail Moment Arm = Horizontal Tail Volume Ratio*Reference Area*Mean Aerodynamic Chord/Horizontal Tail Area to evaluate the Horizontal Tail Moment Arm, Tail Moment Arm for given Horizontal Tail Volume Ratio is a measure of the distance from the tail's aerodynamic center to the rotational axis, calculated using the horizontal tail volume ratio, reference area, mean aerodynamic chord, and horizontal tail area. Horizontal Tail Moment Arm is denoted by 𝒍_t symbol.

How to evaluate Tail moment arm for given horizontal tail volume ratio using this online evaluator? To use this online evaluator for Tail moment arm for given horizontal tail volume ratio, enter Horizontal Tail Volume Ratio (V_H), Reference Area (S), Mean Aerodynamic Chord (c_ma) & Horizontal Tail Area (S_t) and hit the calculate button.

FAQs on Tail moment arm for given horizontal tail volume ratio

What is the formula to find Tail moment arm for given horizontal tail volume ratio?

The formula of Tail moment arm for given horizontal tail volume ratio is expressed as Horizontal Tail Moment Arm = Horizontal Tail Volume Ratio*Reference Area*Mean Aerodynamic Chord/Horizontal Tail Area. Here is an example- 0.801511 = 1.42*5.08*0.2/1.8.

How to calculate Tail moment arm for given horizontal tail volume ratio?

With Horizontal Tail Volume Ratio (V_H), Reference Area (S), Mean Aerodynamic Chord (c_ma) & Horizontal Tail Area (S_t) we can find Tail moment arm for given horizontal tail volume ratio using the formula - Horizontal Tail Moment Arm = Horizontal Tail Volume Ratio*Reference Area*Mean Aerodynamic Chord/Horizontal Tail Area.

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=-(Tail Pitching Moment Coefficient*Reference Area*Mean Aerodynamic Chord)/(Tail Efficiency*Horizontal Tail Area*Tail Lift Coefficient)

Can the Tail moment arm for given horizontal tail volume ratio be negative?

Yes, the Tail moment arm for given horizontal tail volume ratio, measured in Length can be negative.

Which unit is used to measure Tail moment arm for given horizontal tail volume ratio?

Tail moment arm for given horizontal tail volume ratio 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 horizontal tail volume ratio can be measured.

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Tail moment arm for given horizontal tail volume ratio Formula

​GoTail Moment Arm for given Tail Moment Coefficient Formula

Tail moment arm for given horizontal tail volume ratio Example

Tail moment arm for given horizontal tail volume ratio Solution

Tail moment arm for given horizontal tail volume ratio Formula Elements

Other Formulas to find Horizontal Tail Moment Arm

Other formulas in Tail Contribution category

How to Evaluate Tail moment arm for given horizontal tail volume ratio?

FAQs on Tail moment arm for given horizontal tail volume ratio

Variable Name

GoTail Moment Arm for given Tail Moment Coefficient Formula