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Vertical Tail Efficiency for given Yawing Moment Coefficient Formula

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Vertical Tail Efficiency is the tail efficiency associated with the vertical tail of an aircraft. Check FAQs

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

η_v - Vertical Tail Efficiency?C_n - Yawing Moment Coefficient?V_v - Vertical Tail Volume Ratio?C_v - Vertical Tail Lift Curve Slope?β - Sideslip Angle?σ - Sidewash Angle?

Vertical Tail Efficiency for given Yawing Moment Coefficient Example

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Here is how the Vertical Tail Efficiency for given Yawing Moment Coefficient equation looks like with Values.

Here is how the Vertical Tail Efficiency for given Yawing Moment Coefficient equation looks like with Units.

Here is how the Vertical Tail Efficiency for given Yawing Moment Coefficient equation looks like.

16.7588 = \frac{1.4}{1.02 \cdot 0.7 \cdot (0.05 + 0.067)}

16.7588 = \frac{1.4}{1.02 \cdot 0.7rad⁻¹ \cdot (0.05rad + 0.067rad)}

16.7588 = \frac{1.4}{1.02 \cdot 0.7 \cdot (0.05 + 0.067)}

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Vertical Tail Efficiency for given Yawing Moment Coefficient Solution

Follow our step by step solution on how to calculate Vertical Tail Efficiency for given Yawing Moment Coefficient?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

η v = \frac{1.4}{1.02 \cdot 0.7rad⁻¹ \cdot (0.05rad + 0.067rad)}

Next Step Prepare to Evaluate

∴

η v = \frac{1.4}{1.02 \cdot 0.7 \cdot (0.05 + 0.067)}

Next Step Evaluate

∴

η v = 16.7588402882521

LAST Step Rounding Answer

∴

η v = 16.7588

Vertical Tail Efficiency for given Yawing Moment Coefficient Formula Elements

Variables

Vertical Tail Efficiency

Vertical Tail Efficiency is the tail efficiency associated with the vertical tail of an aircraft.

Symbol: η_v

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Vertical Tail Efficiency

Yawing Moment Coefficient

Yawing Moment Coefficient is the coefficient associated with the moment that tends to rotate an airplane about its vertical (or yaw) axis.

Symbol: C_n

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Yawing Moment Coefficient

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 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

Other Formulas to find Vertical Tail Efficiency

Go Vertical Tail Efficiency

η v = \frac{Q v}{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 Efficiency for given Yawing Moment Coefficient?

Vertical Tail Efficiency for given Yawing Moment Coefficient evaluator uses Vertical Tail Efficiency = Yawing Moment Coefficient/(Vertical Tail Volume Ratio*Vertical Tail Lift Curve Slope*(Sideslip Angle+Sidewash Angle)) to evaluate the Vertical Tail Efficiency, Vertical Tail Efficiency for given Yawing Moment Coefficient is a measure of the effectiveness of a vertical tail in generating yawing moment, taking into account the yawing moment coefficient, vertical tail volume ratio, lift curve slope, sideslip angle, and sidewash angle, providing a critical assessment of an aircraft's directional stability and control. Vertical Tail Efficiency is denoted by η_v symbol.

How to evaluate Vertical Tail Efficiency for given Yawing Moment Coefficient using this online evaluator? To use this online evaluator for Vertical Tail Efficiency for given Yawing Moment Coefficient, enter Yawing Moment Coefficient (C_n), Vertical Tail Volume Ratio (V_v), Vertical Tail Lift Curve Slope (C_v), Sideslip Angle (β) & Sidewash Angle (σ) and hit the calculate button.

FAQs on Vertical Tail Efficiency for given Yawing Moment Coefficient

What is the formula to find Vertical Tail Efficiency for given Yawing Moment Coefficient?

The formula of Vertical Tail Efficiency for given Yawing Moment Coefficient is expressed as Vertical Tail Efficiency = Yawing Moment Coefficient/(Vertical Tail Volume Ratio*Vertical Tail Lift Curve Slope*(Sideslip Angle+Sidewash Angle)). Here is an example- 15.68258 = 1.4/(1.02*0.7*(0.05+0.067)).

How to calculate Vertical Tail Efficiency for given Yawing Moment Coefficient?

With Yawing Moment Coefficient (C_n), Vertical Tail Volume Ratio (V_v), Vertical Tail Lift Curve Slope (C_v), Sideslip Angle (β) & Sidewash Angle (σ) we can find Vertical Tail Efficiency for given Yawing Moment Coefficient using the formula - Vertical Tail Efficiency = Yawing Moment Coefficient/(Vertical Tail Volume Ratio*Vertical Tail Lift Curve Slope*(Sideslip Angle+Sidewash Angle)).

What are the other ways to Calculate Vertical Tail Efficiency?

Here are the different ways to Calculate Vertical Tail Efficiency-

Vertical Tail Efficiency=Vertical Tail Dynamic Pressure/Wing Dynamic Pressure

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Vertical Tail Efficiency for given Yawing Moment Coefficient Formula

​GoVertical Tail Efficiency Formula

Vertical Tail Efficiency for given Yawing Moment Coefficient Example

Vertical Tail Efficiency for given Yawing Moment Coefficient Solution

Vertical Tail Efficiency for given Yawing Moment Coefficient Formula Elements

Other Formulas to find Vertical Tail Efficiency

Other formulas in Vertical Tail Contribution category

How to Evaluate Vertical Tail Efficiency for given Yawing Moment Coefficient?

FAQs on Vertical Tail Efficiency for given Yawing Moment Coefficient

Variable Name

GoVertical Tail Efficiency Formula