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Vertical Tail Moment Arm for given Vertical Tail Volume Ratio Formula

GoVertical Tail Moment Arm for given Side Force Formula

GoVertical Tail Moment Arm for given Lift Curve Slope Formula

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

𝒍 v = V v \cdot S \cdot \frac{b}{S v}

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

Vertical Tail Moment Arm for given Vertical Tail Volume Ratio Example

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

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

Here is how the Vertical Tail Moment Arm for given Vertical Tail Volume Ratio equation looks like.

1.1918 = 1.02 \cdot 5.08 \cdot \frac{1.15}{5}

1.1918m = 1.02 \cdot 5.08m² \cdot \frac{1.15m}{5m²}

1.1918 = 1.02 \cdot 5.08 \cdot \frac{1.15}{5}

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Vertical Tail Moment Arm for given Vertical Tail Volume Ratio Solution

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

FIRST Step Consider the formula

𝒍 v = V v \cdot S \cdot \frac{b}{S v}

Next Step Substitute values of Variables

∴

𝒍 v = 1.02 \cdot 5.08m² \cdot \frac{1.15m}{5m²}

Next Step Prepare to Evaluate

∴

𝒍 v = 1.02 \cdot 5.08 \cdot \frac{1.15}{5}

Next Step Evaluate

∴

𝒍 v = 1.191768m

LAST Step Rounding Answer

∴

𝒍 v = 1.1918m

Vertical Tail Moment Arm for given Vertical Tail Volume Ratio Formula Elements

Variables

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 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

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

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

Other Formulas to find Vertical Tail Moment Arm

Go Vertical Tail Moment Arm for given Side Force

𝒍 v = - \frac{N v}{Y v}

Go Vertical Tail Moment Arm for given Lift Curve Slope

𝒍 v = \frac{N v}{C v \cdot (β + σ) \cdot Q v \cdot S v}

Go Vertical Tail Moment Arm for Given Yawing Moment Coefficient

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

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 Moment Arm for given Vertical Tail Volume Ratio?

Vertical Tail Moment Arm for given Vertical Tail Volume Ratio evaluator uses Vertical Tail Moment Arm = Vertical Tail Volume Ratio*Reference Area*Wingspan/Vertical Tail Area to evaluate the Vertical Tail Moment Arm, Vertical Tail Moment Arm for given Vertical Tail Volume Ratio is a measure of the distance from the aircraft's center of gravity to the vertical tail, calculated by multiplying the vertical tail volume ratio, reference area, and wingspan, and dividing by the vertical tail area, which is critical in determining the aircraft's stability and control during flight. Vertical Tail Moment Arm is denoted by 𝒍_v symbol.

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

FAQs on Vertical Tail Moment Arm for given Vertical Tail Volume Ratio

What is the formula to find Vertical Tail Moment Arm for given Vertical Tail Volume Ratio?

The formula of Vertical Tail Moment Arm for given Vertical Tail Volume Ratio is expressed as Vertical Tail Moment Arm = Vertical Tail Volume Ratio*Reference Area*Wingspan/Vertical Tail Area. Here is an example- 1.273556 = 1.02*5.08*1.15/5.

How to calculate Vertical Tail Moment Arm for given Vertical Tail Volume Ratio?

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

What are the other ways to Calculate Vertical Tail Moment Arm?

Here are the different ways to Calculate Vertical Tail Moment Arm-

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

Can the Vertical Tail Moment Arm for given Vertical Tail Volume Ratio be negative?

No, the Vertical Tail Moment Arm for given Vertical Tail Volume Ratio, measured in Length cannot be negative.

Which unit is used to measure Vertical Tail Moment Arm for given Vertical Tail Volume Ratio?

Vertical Tail Moment Arm for given Vertical 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 Vertical Tail Moment Arm for given Vertical Tail Volume Ratio can be measured.

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Vertical Tail Moment Arm for given Vertical Tail Volume Ratio Formula

​GoVertical Tail Moment Arm for given Side Force Formula

​GoVertical Tail Moment Arm for given Lift Curve Slope Formula

Vertical Tail Moment Arm for given Vertical Tail Volume Ratio Example

Vertical Tail Moment Arm for given Vertical Tail Volume Ratio Solution

Vertical Tail Moment Arm for given Vertical Tail Volume Ratio Formula Elements

Other Formulas to find Vertical Tail Moment Arm

Other formulas in Vertical Tail Contribution category

How to Evaluate Vertical Tail Moment Arm for given Vertical Tail Volume Ratio?

FAQs on Vertical Tail Moment Arm for given Vertical Tail Volume Ratio

Variable Name

GoVertical Tail Moment Arm for given Side Force Formula

GoVertical Tail Moment Arm for given Lift Curve Slope Formula