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Vertical Tail Moment Arm for given Side Force Formula

GoVertical Tail Moment Arm for given Lift Curve Slope Formula

GoVertical Tail Moment Arm for Given Yawing Moment Coefficient 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 = - \frac{N v}{Y v}

𝒍_v - Vertical Tail Moment Arm?N_v - Vertical Tail Moment?Y_v - Vertical Tail Side Force?

Vertical Tail Moment Arm for given Side Force Example

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

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

Here is how the Vertical Tail Moment Arm for given Side Force equation looks like.

1.2751 = - \frac{5.4}{-4.235}

1.2751m = - \frac{5.4N*m}{-4.235N}

1.2751 = - \frac{5.4}{-4.235}

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Vertical Tail Moment Arm for given Side Force Solution

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

FIRST Step Consider the formula

𝒍 v = - \frac{N v}{Y v}

Next Step Substitute values of Variables

∴

𝒍 v = - \frac{5.4N*m}{-4.235N}

Next Step Prepare to Evaluate

∴

𝒍 v = - \frac{5.4}{-4.235}

Next Step Evaluate

∴

𝒍 v = 1.27508854781582m

LAST Step Rounding Answer

∴

𝒍 v = 1.2751m

Vertical Tail Moment Arm for given Side Force 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 Moment

Vertical Tail Moment is the moment produced by the vertical tailplane of an aircraft due to the side force acting on it.

Symbol: N_v

Measurement: Moment of ForceUnit: N*m

Note: Value can be positive or negative.

Formulas to find Vertical Tail Moment

Vertical Tail Side Force

Vertical Tail Side Force is the side force acting on the vertical tail of an aircraft.

Symbol: Y_v

Measurement: ForceUnit: N

Note: Value can be positive or negative.

Formulas to find Vertical Tail Side Force

Other Formulas to find Vertical Tail Moment Arm

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}}

Go Vertical Tail Moment Arm for given Vertical Tail Volume Ratio

𝒍 v = V v \cdot S \cdot \frac{b}{S v}

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 Side Force?

Vertical Tail Moment Arm for given Side Force evaluator uses Vertical Tail Moment Arm = -Vertical Tail Moment/Vertical Tail Side Force to evaluate the Vertical Tail Moment Arm, Vertical Tail Moment Arm for Given Side Force is a measure of the distance from the vertical tail's aerodynamic center to the aircraft's center of gravity, calculated by dividing the moment produced by the vertical tail by the vertical tail side force, providing crucial information for aircraft design and stability analysis. Vertical Tail Moment Arm is denoted by 𝒍_v symbol.

How to evaluate Vertical Tail Moment Arm for given Side Force using this online evaluator? To use this online evaluator for Vertical Tail Moment Arm for given Side Force, enter Vertical Tail Moment (N_v) & Vertical Tail Side Force (Y_v) and hit the calculate button.

FAQs on Vertical Tail Moment Arm for given Side Force

What is the formula to find Vertical Tail Moment Arm for given Side Force?

The formula of Vertical Tail Moment Arm for given Side Force is expressed as Vertical Tail Moment Arm = -Vertical Tail Moment/Vertical Tail Side Force. Here is an example- 1.275089 = -5.4/(-4.235).

How to calculate Vertical Tail Moment Arm for given Side Force?

With Vertical Tail Moment (N_v) & Vertical Tail Side Force (Y_v) we can find Vertical Tail Moment Arm for given Side Force using the formula - Vertical Tail Moment Arm = -Vertical Tail Moment/Vertical Tail Side Force.

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 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))
Vertical Tail Moment Arm=Vertical Tail Volume Ratio*Reference Area*Wingspan/Vertical Tail Area

Can the Vertical Tail Moment Arm for given Side Force be negative?

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

Which unit is used to measure Vertical Tail Moment Arm for given Side Force?

Vertical Tail Moment Arm for given Side Force 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 Side Force can be measured.

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