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Wing Area for given Vertical Tail Volume Ratio Formula

GoWing Area for given Moment Produced by Vertical Tail Formula

GoWing Area for given Yawing Moment Coefficient 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 v \cdot \frac{S v}{b \cdot V v}

S - Reference Area?𝒍_v - Vertical Tail Moment Arm?S_v - Vertical Tail Area?b - Wingspan?V_v - Vertical Tail Volume Ratio?

Wing Area for given Vertical Tail Volume Ratio Example

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

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

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

5.1151 = 1.2 \cdot \frac{5}{1.15 \cdot 1.02}

5.1151m² = 1.2m \cdot \frac{5m²}{1.15m \cdot 1.02}

5.1151 = 1.2 \cdot \frac{5}{1.15 \cdot 1.02}

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Wing Area for given Vertical Tail Volume Ratio Solution

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

FIRST Step Consider the formula

S = 𝒍 v \cdot \frac{S v}{b \cdot V v}

Next Step Substitute values of Variables

∴

S = 1.2m \cdot \frac{5m²}{1.15m \cdot 1.02}

Next Step Prepare to Evaluate

∴

S = 1.2 \cdot \frac{5}{1.15 \cdot 1.02}

Next Step Evaluate

∴

S = 5.1150895140665m²

LAST Step Rounding Answer

∴

S = 5.1151m²

Wing Area for given Vertical 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

Vertical Tail Moment Arm

The Vertical Tail Moment Arm is the distance between the centroid of the vertical tail shape and the center of gravity of the aircraft.

Symbol: 𝒍_v

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Vertical Tail Moment Arm

Vertical Tail Area

The Vertical Tail Area is the area of the surface of the vertical tail, including the submerged area to the fuselage centerline.

Symbol: S_v

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Vertical Tail Area

Wingspan

The Wingspan (or just span) of a bird or an airplane is the distance from one wingtip to the other wingtip.

Symbol: b

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Wingspan

Vertical Tail Volume Ratio

Vertical Tail Volume Ratio relates to the area of the vertical tail, the distance between the centroid of vertical tail area and aircraft's e.g., the wing area, and the wingspan.

Symbol: V_v

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Vertical Tail Volume Ratio

Other Formulas to find Reference Area

Go Wing Area for given Moment Produced by Vertical Tail

S = \frac{N v}{C n \cdot Q w \cdot b}

Go Wing Area for given Yawing Moment Coefficient

S = 𝒍 v \cdot S v \cdot Q v \cdot C v \cdot \frac{β + σ}{C n \cdot b \cdot Q w}

Other formulas in Wing Tail Interaction category

Go Wing Dynamic Pressure for given Yawing Moment Coefficient

Q w = \frac{N v}{C n \cdot S \cdot b}

Go Wingspan for given Yawing Moment Coefficient

b = \frac{N v}{C n \cdot S \cdot Q w}

Go Wingspan for Yawing Moment Coefficient given Sideslip Angle and Sidewash Angle

b = 𝒍 v \cdot S v \cdot Q v \cdot C v \cdot \frac{β + σ}{S \cdot C n \cdot Q w}

Go Dynamic Pressure at Wing for given Yawing Moment Coefficient

Q w = 𝒍 v \cdot S v \cdot Q v \cdot C v \cdot \frac{β + σ}{S \cdot b \cdot C n}

How to Evaluate Wing Area for given Vertical Tail Volume Ratio?

Wing Area for given Vertical Tail Volume Ratio evaluator uses Reference Area = Vertical Tail Moment Arm*Vertical Tail Area/(Wingspan*Vertical Tail Volume Ratio) to evaluate the Reference Area, Wing Area for given Vertical Tail Volume Ratio is a measure of the reference area of an aircraft's wing required for directional stability, calculated by considering the vertical tail moment arm, vertical tail area, wingspan, and vertical tail volume ratio, ensuring stable and controlled flight dynamics. Reference Area is denoted by S symbol.

How to evaluate Wing Area for given Vertical Tail Volume Ratio using this online evaluator? To use this online evaluator for Wing Area for given Vertical Tail Volume Ratio, enter Vertical Tail Moment Arm (𝒍_v), Vertical Tail Area (S_v), Wingspan (b) & Vertical Tail Volume Ratio (V_v) and hit the calculate button.

FAQs on Wing Area for given Vertical Tail Volume Ratio

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

The formula of Wing Area for given Vertical Tail Volume Ratio is expressed as Reference Area = Vertical Tail Moment Arm*Vertical Tail Area/(Wingspan*Vertical Tail Volume Ratio). Here is an example- 5.11509 = 1.2*5/(1.15*1.02).

How to calculate Wing Area for given Vertical Tail Volume Ratio?

With Vertical Tail Moment Arm (𝒍_v), Vertical Tail Area (S_v), Wingspan (b) & Vertical Tail Volume Ratio (V_v) we can find Wing Area for given Vertical Tail Volume Ratio using the formula - Reference Area = Vertical Tail Moment Arm*Vertical Tail Area/(Wingspan*Vertical Tail Volume Ratio).

What are the other ways to Calculate Reference Area?

Here are the different ways to Calculate Reference Area-

Reference Area=Vertical Tail Moment/(Yawing Moment Coefficient*Wing Dynamic Pressure*Wingspan)
Reference Area=Vertical Tail Moment Arm*Vertical Tail Area*Vertical Tail Dynamic Pressure*Vertical Tail Lift Curve Slope*(Sideslip Angle+Sidewash Angle)/(Yawing Moment Coefficient*Wingspan*Wing Dynamic Pressure)

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

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

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

Wing Area for given Vertical 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 Area for given Vertical Tail Volume Ratio can be measured.

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: Value
: Unit

Wing Area for given Vertical Tail Volume Ratio Formula

​GoWing Area for given Moment Produced by Vertical Tail Formula

​GoWing Area for given Yawing Moment Coefficient Formula

Wing Area for given Vertical Tail Volume Ratio Example

Wing Area for given Vertical Tail Volume Ratio Solution

Wing Area for given Vertical Tail Volume Ratio Formula Elements

Other Formulas to find Reference Area

Other formulas in Wing Tail Interaction category

How to Evaluate Wing Area for given Vertical Tail Volume Ratio?

FAQs on Wing Area for given Vertical Tail Volume Ratio

Variable Name

GoWing Area for given Moment Produced by Vertical Tail Formula

GoWing Area for given Yawing Moment Coefficient Formula