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Vertical Tail Lift Curve Slope for given Vertical Tail Efficiency Formula

GoVertical Tail Lift Curve Slope Formula

GoVertical Tail Lift Curve Slope for Given Moment Formula

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

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

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

Vertical Tail Lift Curve Slope for given Vertical Tail Efficiency Example

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Here is how the Vertical Tail Lift Curve Slope for given Vertical Tail Efficiency equation looks like with Values.

Here is how the Vertical Tail Lift Curve Slope for given Vertical Tail Efficiency equation looks like with Units.

Here is how the Vertical Tail Lift Curve Slope for given Vertical Tail Efficiency equation looks like.

0.7042 = \frac{1.4}{1.02 \cdot 16.66 \cdot (0.05 + 0.067)}

0.7042rad⁻¹ = \frac{1.4}{1.02 \cdot 16.66 \cdot (0.05rad + 0.067rad)}

0.7042 = \frac{1.4}{1.02 \cdot 16.66 \cdot (0.05 + 0.067)}

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Vertical Tail Lift Curve Slope for given Vertical Tail Efficiency Solution

Follow our step by step solution on how to calculate Vertical Tail Lift Curve Slope for given Vertical Tail Efficiency?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

C v = \frac{1.4}{1.02 \cdot 16.66 \cdot (0.05rad + 0.067rad)}

Next Step Prepare to Evaluate

∴

C v = \frac{1.4}{1.02 \cdot 16.66 \cdot (0.05 + 0.067)}

Next Step Evaluate

∴

C v = 0.704152953287901rad⁻¹

LAST Step Rounding Answer

∴

C v = 0.7042rad⁻¹

Vertical Tail Lift Curve Slope for given Vertical Tail Efficiency Formula Elements

Variables

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

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 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

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 Lift Curve Slope

Go Vertical Tail Lift Curve Slope

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

Go Vertical Tail Lift Curve Slope for Given Moment

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

Go Vertical Tail Lift Curve Slope for given Yawing Moment Coefficient

C v = C n \cdot S \cdot b \cdot \frac{Q w}{𝒍 v \cdot S v \cdot Q 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 Angle of Attack for given Vertical Tail Side Force

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

Go Vertical Tail Dynamic Pressure for given Vertical Tail Side Force

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

How to Evaluate Vertical Tail Lift Curve Slope for given Vertical Tail Efficiency?

Vertical Tail Lift Curve Slope for given Vertical Tail Efficiency evaluator uses Vertical Tail Lift Curve Slope = Yawing Moment Coefficient/(Vertical Tail Volume Ratio*Vertical Tail Efficiency*(Sideslip Angle+Sidewash Angle)) to evaluate the Vertical Tail Lift Curve Slope, Vertical Tail Lift Curve Slope for given Vertical Tail Efficiency is a measure of the rate of change of vertical tail lift with respect to sideslip angle, influenced by the yawing moment coefficient, vertical tail volume ratio, vertical tail efficiency, sideslip angle, and sidewash angle, providing a critical aspect of aircraft stability and control during flight. Vertical Tail Lift Curve Slope is denoted by C_v symbol.

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

FAQs on Vertical Tail Lift Curve Slope for given Vertical Tail Efficiency

What is the formula to find Vertical Tail Lift Curve Slope for given Vertical Tail Efficiency?

The formula of Vertical Tail Lift Curve Slope for given Vertical Tail Efficiency is expressed as Vertical Tail Lift Curve Slope = Yawing Moment Coefficient/(Vertical Tail Volume Ratio*Vertical Tail Efficiency*(Sideslip Angle+Sidewash Angle)). Here is an example- 0.658932 = 1.4/(1.02*16.66*(0.05+0.067)).

How to calculate Vertical Tail Lift Curve Slope for given Vertical Tail Efficiency?

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

What are the other ways to Calculate Vertical Tail Lift Curve Slope?

Here are the different ways to Calculate Vertical Tail Lift Curve Slope-

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

Can the Vertical Tail Lift Curve Slope for given Vertical Tail Efficiency be negative?

Yes, the Vertical Tail Lift Curve Slope for given Vertical Tail Efficiency, measured in Reciprocal Angle can be negative.

Which unit is used to measure Vertical Tail Lift Curve Slope for given Vertical Tail Efficiency?

Vertical Tail Lift Curve Slope for given Vertical Tail Efficiency is usually measured using the 1 per Radian[rad⁻¹] for Reciprocal Angle. 1 per Degree[rad⁻¹], 1 per Minute[rad⁻¹], 1 per Quadrant[rad⁻¹] are the few other units in which Vertical Tail Lift Curve Slope for given Vertical Tail Efficiency can be measured.

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Vertical Tail Lift Curve Slope for given Vertical Tail Efficiency Formula

​GoVertical Tail Lift Curve Slope Formula

​GoVertical Tail Lift Curve Slope for Given Moment Formula

Vertical Tail Lift Curve Slope for given Vertical Tail Efficiency Example

Vertical Tail Lift Curve Slope for given Vertical Tail Efficiency Solution

Vertical Tail Lift Curve Slope for given Vertical Tail Efficiency Formula Elements

Other Formulas to find Vertical Tail Lift Curve Slope

Other formulas in Vertical Tail Contribution category

How to Evaluate Vertical Tail Lift Curve Slope for given Vertical Tail Efficiency?

FAQs on Vertical Tail Lift Curve Slope for given Vertical Tail Efficiency

Variable Name

GoVertical Tail Lift Curve Slope Formula

GoVertical Tail Lift Curve Slope for Given Moment Formula