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Vertical tail volume ratio Formula

GoVertical Tail Volume Ratio for given Yawing Moment Coefficient Formula

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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. Check FAQs

V v = 𝒍 v \cdot \frac{S v}{S \cdot b}

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

Vertical tail volume ratio Example

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Here is how the Vertical tail volume ratio equation looks like with Values.

Here is how the Vertical tail volume ratio equation looks like with Units.

Here is how the Vertical tail volume ratio equation looks like.

1.027 = 1.2 \cdot \frac{5}{5.08 \cdot 1.15}

1.027 = 1.2m \cdot \frac{5m²}{5.08m² \cdot 1.15m}

1.027 = 1.2 \cdot \frac{5}{5.08 \cdot 1.15}

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Vertical tail volume ratio Solution

Follow our step by step solution on how to calculate Vertical tail volume ratio?

FIRST Step Consider the formula

V v = 𝒍 v \cdot \frac{S v}{S \cdot b}

Next Step Substitute values of Variables

∴

V v = 1.2m \cdot \frac{5m²}{5.08m² \cdot 1.15m}

Next Step Prepare to Evaluate

∴

V v = 1.2 \cdot \frac{5}{5.08 \cdot 1.15}

Next Step Evaluate

∴

V v = 1.02704553235193

LAST Step Rounding Answer

∴

V v = 1.027

Vertical tail volume ratio Formula Elements

Variables

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

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

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

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

Other Formulas to find Vertical Tail Volume Ratio

Go Vertical Tail Volume Ratio for given Yawing Moment Coefficient

V v = \frac{C n}{η v \cdot C v \cdot (β + σ)}

Other formulas in Vertical Tail Contribution category

Go Vertical Tail Angle of Attack

α v = σ + β

Go Vertical Tail Side Force

Y v = - C v \cdot α v \cdot S v \cdot Q v

Go Vertical Tail Lift Curve Slope

C v = - (\frac{Y v}{α v \cdot Q v \cdot S v})

Go Vertical Tail Angle of Attack for given Vertical Tail Side Force

α v = - (\frac{Y v}{C v \cdot Q v \cdot S v})

How to Evaluate Vertical tail volume ratio?

Vertical tail volume ratio evaluator uses Vertical Tail Volume Ratio = Vertical Tail Moment Arm*Vertical Tail Area/(Reference Area*Wingspan) to evaluate the Vertical Tail Volume Ratio, Vertical tail volume ratio is a dimensionless parameter that represents the effectiveness of the vertical tail in providing stability and control to an aircraft, calculated by dividing the product of the vertical tail moment arm and area by the reference area and wingspan. Vertical Tail Volume Ratio is denoted by V_v symbol.

How to evaluate Vertical tail volume ratio using this online evaluator? To use this online evaluator for Vertical tail volume ratio, enter Vertical Tail Moment Arm (𝒍_v), Vertical Tail Area (S_v), Reference Area (S) & Wingspan (b) and hit the calculate button.

FAQs on Vertical tail volume ratio

What is the formula to find Vertical tail volume ratio?

The formula of Vertical tail volume ratio is expressed as Vertical Tail Volume Ratio = Vertical Tail Moment Arm*Vertical Tail Area/(Reference Area*Wingspan). Here is an example- 1.027046 = 1.2*5/(5.08*1.15).

How to calculate Vertical tail volume ratio?

With Vertical Tail Moment Arm (𝒍_v), Vertical Tail Area (S_v), Reference Area (S) & Wingspan (b) we can find Vertical tail volume ratio using the formula - Vertical Tail Volume Ratio = Vertical Tail Moment Arm*Vertical Tail Area/(Reference Area*Wingspan).

What are the other ways to Calculate Vertical Tail Volume Ratio?

Here are the different ways to Calculate Vertical Tail Volume Ratio-

Vertical Tail Volume Ratio=Yawing Moment Coefficient/(Vertical Tail Efficiency*Vertical Tail Lift Curve Slope*(Sideslip Angle+Sidewash Angle))

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Vertical tail volume ratio Formula

​GoVertical Tail Volume Ratio for given Yawing Moment Coefficient Formula

Vertical tail volume ratio Example

Vertical tail volume ratio Solution

Vertical tail volume ratio Formula Elements

Other Formulas to find Vertical Tail Volume Ratio

Other formulas in Vertical Tail Contribution category

How to Evaluate Vertical tail volume ratio?

FAQs on Vertical tail volume ratio

Variable Name

GoVertical Tail Volume Ratio for given Yawing Moment Coefficient Formula