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Vertical Tail Area for given Moment Formula

GoVertical Tail Area for given Vertical Tail Side Force Formula

GoVertical tail area for given vertical tail volume ratio Formula

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

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

S_v - Vertical Tail Area?N_v - Vertical Tail Moment?𝒍_v - Vertical Tail Moment Arm?C_v - Vertical Tail Lift Curve Slope?β - Sideslip Angle?σ - Sidewash Angle?Q_v - Vertical Tail Dynamic Pressure?

Vertical Tail Area for given Moment Example

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Here is how the Vertical Tail Area for given Moment equation looks like with Values.

Here is how the Vertical Tail Area for given Moment equation looks like with Units.

Here is how the Vertical Tail Area for given Moment equation looks like.

4.995 = \frac{5.4}{1.2 \cdot 0.7 \cdot (0.05 + 0.067) \cdot 11}

4.995m² = \frac{5.4N*m}{1.2m \cdot 0.7rad⁻¹ \cdot (0.05rad + 0.067rad) \cdot 11Pa}

4.995 = \frac{5.4}{1.2 \cdot 0.7 \cdot (0.05 + 0.067) \cdot 11}

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Vertical Tail Area for given Moment Solution

Follow our step by step solution on how to calculate Vertical Tail Area for given Moment?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

S v = \frac{5.4N*m}{1.2m \cdot 0.7rad⁻¹ \cdot (0.05rad + 0.067rad) \cdot 11Pa}

Next Step Prepare to Evaluate

∴

S v = \frac{5.4}{1.2 \cdot 0.7 \cdot (0.05 + 0.067) \cdot 11}

Next Step Evaluate

∴

S v = 4.995004995005m²

LAST Step Rounding Answer

∴

S v = 4.995m²

Vertical Tail Area for given Moment Formula Elements

Variables

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

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 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 Lift Curve Slope

The Vertical Tail Lift Curve Slope is the slope associated with the lift curve of a vertical tailplane of an aircraft.

Symbol: C_v

Measurement: Reciprocal AngleUnit: rad⁻¹

Note: Value can be positive or negative.

Formulas to find Vertical Tail Lift Curve Slope

Sideslip Angle

The Sideslip Angle, also called the angle of sideslip, is a term used in fluid dynamics and aerodynamics, and aviation which relates to the rotation of the aircraft centerline from the relative wind.

Symbol: β

Measurement: AngleUnit: rad

Note: Value can be positive or negative.

Formulas to find Sideslip Angle

Sidewash Angle

Sidewash Angle is caused by the flow field distortion due to the wings and fuselage. It is analogous to the downwash angle for the horizontal tailplane.

Symbol: σ

Measurement: AngleUnit: rad

Note: Value can be positive or negative.

Formulas to find Sidewash Angle

Vertical Tail Dynamic Pressure

Vertical Tail Dynamic Pressure is the dynamic pressure associated with the vertical tail of an aircraft.

Symbol: Q_v

Measurement: PressureUnit: Pa

Note: Value should be greater than 0.

Formulas to find Vertical Tail Dynamic Pressure

Other Formulas to find Vertical Tail Area

Go Vertical Tail Area for given Vertical Tail Side Force

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

Go Vertical tail area for given vertical tail volume ratio

S v = V v \cdot S \cdot \frac{b}{𝒍 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

How to Evaluate Vertical Tail Area for given Moment?

Vertical Tail Area for given Moment evaluator uses Vertical Tail Area = Vertical Tail Moment/(Vertical Tail Moment Arm*Vertical Tail Lift Curve Slope*(Sideslip Angle+Sidewash Angle)*Vertical Tail Dynamic Pressure) to evaluate the Vertical Tail Area, Vertical Tail Area for Given Moment is a measure of the surface area of the vertical tail required to produce a specific moment, taking into account the moment arm, lift curve slope, sideslip angle, sidewash angle, and dynamic pressure, ensuring stability and control of an aircraft in flight. Vertical Tail Area is denoted by S_v symbol.

How to evaluate Vertical Tail Area for given Moment using this online evaluator? To use this online evaluator for Vertical Tail Area for given Moment, enter Vertical Tail Moment (N_v), Vertical Tail Moment Arm (𝒍_v), Vertical Tail Lift Curve Slope (C_v), Sideslip Angle (β), Sidewash Angle (σ) & Vertical Tail Dynamic Pressure (Q_v) and hit the calculate button.

FAQs on Vertical Tail Area for given Moment

What is the formula to find Vertical Tail Area for given Moment?

The formula of Vertical Tail Area for given Moment is expressed as Vertical Tail Area = Vertical Tail Moment/(Vertical Tail Moment Arm*Vertical Tail Lift Curve Slope*(Sideslip Angle+Sidewash Angle)*Vertical Tail Dynamic Pressure). Here is an example- 4.995005 = 5.4/(1.2*0.7*(0.05+0.067)*11).

How to calculate Vertical Tail Area for given Moment?

With Vertical Tail Moment (N_v), Vertical Tail Moment Arm (𝒍_v), Vertical Tail Lift Curve Slope (C_v), Sideslip Angle (β), Sidewash Angle (σ) & Vertical Tail Dynamic Pressure (Q_v) we can find Vertical Tail Area for given Moment using the formula - Vertical Tail Area = Vertical Tail Moment/(Vertical Tail Moment Arm*Vertical Tail Lift Curve Slope*(Sideslip Angle+Sidewash Angle)*Vertical Tail Dynamic Pressure).

What are the other ways to Calculate Vertical Tail Area?

Here are the different ways to Calculate Vertical Tail Area-

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

Can the Vertical Tail Area for given Moment be negative?

No, the Vertical Tail Area for given Moment, measured in Area cannot be negative.

Which unit is used to measure Vertical Tail Area for given Moment?

Vertical Tail Area for given Moment 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 Vertical Tail Area for given Moment can be measured.

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Vertical Tail Area for given Moment Formula

​GoVertical Tail Area for given Vertical Tail Side Force Formula

​GoVertical tail area for given vertical tail volume ratio Formula

Vertical Tail Area for given Moment Example

Vertical Tail Area for given Moment Solution

Vertical Tail Area for given Moment Formula Elements

Other Formulas to find Vertical Tail Area

Other formulas in Vertical Tail Contribution category

How to Evaluate Vertical Tail Area for given Moment?

FAQs on Vertical Tail Area for given Moment

Variable Name

GoVertical Tail Area for given Vertical Tail Side Force Formula

GoVertical tail area for given vertical tail volume ratio Formula