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Wing Reference Area for given Horizontal Tail Volume Ratio Formula

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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. Check FAQs

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

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

Wing Reference Area for given Horizontal Tail Volume Ratio Example

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Here is how the Wing Reference Area for given Horizontal Tail Volume Ratio equation looks like with Values.

Here is how the Wing Reference Area for given Horizontal Tail Volume Ratio equation looks like with Units.

Here is how the Wing Reference Area for given Horizontal Tail Volume Ratio equation looks like.

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

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

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

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Wing Reference Area for given Horizontal Tail Volume Ratio Solution

Follow our step by step solution on how to calculate Wing Reference Area for given Horizontal Tail Volume Ratio?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

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

Next Step Prepare to Evaluate

∴

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

Next Step Evaluate

∴

S = 5.07999929577465m²

LAST Step Rounding Answer

∴

S = 5.08m²

Wing Reference Area for given Horizontal Tail Volume Ratio Formula Elements

Variables

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

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

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

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 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 Wing Reference Area for given Horizontal Tail Volume Ratio?

Wing Reference Area for given Horizontal Tail Volume Ratio evaluator uses Reference Area = Horizontal Tail Moment Arm*Horizontal Tail Area/(Horizontal Tail Volume Ratio*Mean Aerodynamic Chord) to evaluate the Reference Area, Wing Reference Area for given Horizontal Tail Volume Ratio is a measure of the wing's reference area, calculated by multiplying the horizontal tail's moment arm and area, and dividing by the product of the horizontal tail volume ratio and mean aerodynamic chord. Reference Area is denoted by S symbol.

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

FAQs on Wing Reference Area for given Horizontal Tail Volume Ratio

What is the formula to find Wing Reference Area for given Horizontal Tail Volume Ratio?

The formula of Wing Reference Area for given Horizontal Tail Volume Ratio is expressed as Reference Area = Horizontal Tail Moment Arm*Horizontal Tail Area/(Horizontal Tail Volume Ratio*Mean Aerodynamic Chord). Here is an example- 5.079999 = 0.801511*1.8/(1.42*0.2).

How to calculate Wing Reference Area for given Horizontal Tail Volume Ratio?

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

Can the Wing Reference Area for given Horizontal Tail Volume Ratio be negative?

No, the Wing Reference Area for given Horizontal Tail Volume Ratio, measured in Area cannot be negative.

Which unit is used to measure Wing Reference Area for given Horizontal Tail Volume Ratio?

Wing Reference Area for given Horizontal 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 Wing Reference Area for given Horizontal Tail Volume Ratio can be measured.

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Wing Reference Area for given Horizontal Tail Volume Ratio Formula

Wing Reference Area for given Horizontal Tail Volume Ratio Example

Wing Reference Area for given Horizontal Tail Volume Ratio Solution

Wing Reference Area for given Horizontal Tail Volume Ratio Formula Elements

Other formulas in Tail Contribution category

How to Evaluate Wing Reference Area for given Horizontal Tail Volume Ratio?

FAQs on Wing Reference Area for given Horizontal Tail Volume Ratio

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