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Horizontal tail area for given tail volume ratio Formula

GoTail Area for given Tail Moment Coefficient Formula

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

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

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

Horizontal tail area for given tail volume ratio Example

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Here is how the Horizontal tail area for given tail volume ratio equation looks like with Values.

Here is how the Horizontal tail area for given tail volume ratio equation looks like with Units.

Here is how the Horizontal tail area for given tail volume ratio equation looks like.

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

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

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

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Horizontal tail area for given tail volume ratio Solution

Follow our step by step solution on how to calculate Horizontal tail area for given tail volume ratio?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

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

Next Step Prepare to Evaluate

∴

S t = 1.42 \cdot 5.08 \cdot \frac{0.2}{0.8015}

Next Step Evaluate

∴

S t = 1.8000002495287m²

LAST Step Rounding Answer

∴

S t = 1.8m²

Horizontal tail area for given tail volume ratio Formula Elements

Variables

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 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 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

Other Formulas to find Horizontal Tail Area

Go Tail Area for given Tail Moment Coefficient

S t = - \frac{Cm t \cdot S \cdot c ma}{η \cdot 𝒍 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 Horizontal tail area for given tail volume ratio?

Horizontal tail area for given tail volume ratio evaluator uses Horizontal Tail Area = Horizontal Tail Volume Ratio*Reference Area*Mean Aerodynamic Chord/Horizontal Tail Moment Arm to evaluate the Horizontal Tail Area, Horizontal Tail Area for given Tail Volume Ratio is a measure of the horizontal tail area of an aircraft, calculated by multiplying the horizontal tail volume ratio, reference area, and mean aerodynamic chord, and then dividing by the horizontal tail moment arm, this formula is used in aerospace engineering to determine the optimal tail design for stable flight operations. Horizontal Tail Area is denoted by S_t symbol.

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

FAQs on Horizontal tail area for given tail volume ratio

What is the formula to find Horizontal tail area for given tail volume ratio?

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

How to calculate Horizontal tail area for given tail volume ratio?

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

What are the other ways to Calculate Horizontal Tail Area?

Here are the different ways to Calculate Horizontal Tail Area-

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

Can the Horizontal tail area for given tail volume ratio be negative?

No, the Horizontal tail area for given tail volume ratio, measured in Area cannot be negative.

Which unit is used to measure Horizontal tail area for given tail volume ratio?

Horizontal tail area for given tail volume ratio is usually measured using the Square Meter[m²] for Area. Square Kilometer[m²], Square Centimeter[m²], Square Millimeter[m²] are the few other units in which Horizontal tail area for given tail volume ratio can be measured.

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Horizontal tail area for given tail volume ratio Formula

​GoTail Area for given Tail Moment Coefficient Formula

Horizontal tail area for given tail volume ratio Example

Horizontal tail area for given tail volume ratio Solution

Horizontal tail area for given tail volume ratio Formula Elements

Other Formulas to find Horizontal Tail Area

Other formulas in Tail Contribution category

How to Evaluate Horizontal tail area for given tail volume ratio?

FAQs on Horizontal tail area for given tail volume ratio

Variable Name

GoTail Area for given Tail Moment Coefficient Formula