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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
Cv=CnSbQw𝒍vSvQv(β+σ)
Cv - Vertical Tail Lift Curve Slope?Cn - Yawing Moment Coefficient?S - Reference Area?b - Wingspan?Qw - Wing Dynamic Pressure?𝒍v - Vertical Tail Moment Arm?Sv - Vertical Tail Area?Qv - Vertical Tail Dynamic Pressure?β - Sideslip Angle?σ - Sidewash Angle?

Vertical Tail Lift Curve Slope for given Yawing Moment Coefficient Example

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

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

Here is how the Vertical Tail Lift Curve Slope for given Yawing Moment Coefficient equation looks like.

0.699Edit=1.4Edit5.08Edit1.15Edit0.66Edit1.2Edit5Edit11Edit(0.05Edit+0.067Edit)
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Vertical Tail Lift Curve Slope for given Yawing Moment Coefficient Solution

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

FIRST Step Consider the formula
Cv=CnSbQw𝒍vSvQv(β+σ)
Next Step Substitute values of Variables
Cv=1.45.081.15m0.66Pa1.2m511Pa(0.05rad+0.067rad)
Next Step Prepare to Evaluate
Cv=1.45.081.150.661.2511(0.05+0.067)
Next Step Evaluate
Cv=0.699042735042735rad⁻¹
LAST Step Rounding Answer
Cv=0.699rad⁻¹

Vertical Tail Lift Curve Slope for given Yawing Moment Coefficient 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: Cv
Measurement: Reciprocal AngleUnit: rad⁻¹
Note: Value can be positive or negative.
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: Cn
Measurement: NAUnit: Unitless
Note: Value can be positive or negative.
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:
Note: Value should be greater than 0.
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.
Wing Dynamic Pressure
Wing Dynamic Pressure is the dynamic pressure associated with the wing of an aircraft.
Symbol: Qw
Measurement: PressureUnit: Pa
Note: Value should be greater than 0.
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: 𝒍v
Measurement: LengthUnit: m
Note: Value should be greater than 0.
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: Sv
Measurement: AreaUnit:
Note: Value should be greater than 0.
Vertical Tail Dynamic Pressure
Vertical Tail Dynamic Pressure is the dynamic pressure associated with the vertical tail of an aircraft.
Symbol: Qv
Measurement: PressureUnit: Pa
Note: Value should be greater than 0.
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.
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.

Other Formulas to find Vertical Tail Lift Curve Slope

​Go Vertical Tail Lift Curve Slope
Cv=-(YvαvQvSv)
​Go Vertical Tail Lift Curve Slope for Given Moment
Cv=Nv𝒍v(β+σ)QvSv

Other formulas in Vertical Tail Contribution category

​Go Vertical Tail Angle of Attack
αv=σ+β
​Go Vertical Tail Side Force
Yv=-CvαvSvQv

How to Evaluate Vertical Tail Lift Curve Slope for given Yawing Moment Coefficient?

Vertical Tail Lift Curve Slope for given Yawing Moment Coefficient evaluator uses 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)) to evaluate the Vertical Tail Lift Curve Slope, Vertical tail lift curve slope for given yawing moment coefficient is a measure of the rate of change of the vertical tail's lift force in response to changes in sideslip angle, normalized by the yawing moment coefficient, and dependent on various aerodynamic and geometric parameters of the aircraft, including the reference area, wingspan, dynamic pressure, and moment arm of the vertical tail. Vertical Tail Lift Curve Slope is denoted by Cv symbol.

How to evaluate Vertical Tail Lift Curve Slope for given Yawing Moment Coefficient using this online evaluator? To use this online evaluator for Vertical Tail Lift Curve Slope for given Yawing Moment Coefficient, enter Yawing Moment Coefficient (Cn), Reference Area (S), Wingspan (b), Wing Dynamic Pressure (Qw), Vertical Tail Moment Arm (𝒍v), Vertical Tail Area (Sv), Vertical Tail Dynamic Pressure (Qv), Sideslip Angle (β) & Sidewash Angle (σ) and hit the calculate button.

FAQs on Vertical Tail Lift Curve Slope for given Yawing Moment Coefficient

What is the formula to find Vertical Tail Lift Curve Slope for given Yawing Moment Coefficient?
The formula of Vertical Tail Lift Curve Slope for given Yawing Moment Coefficient is expressed as 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)). Here is an example- 0.700806 = 1.4*5.08*1.15*0.66/(1.2*5*11*(0.05+0.067)).
How to calculate Vertical Tail Lift Curve Slope for given Yawing Moment Coefficient?
With Yawing Moment Coefficient (Cn), Reference Area (S), Wingspan (b), Wing Dynamic Pressure (Qw), Vertical Tail Moment Arm (𝒍v), Vertical Tail Area (Sv), Vertical Tail Dynamic Pressure (Qv), Sideslip Angle (β) & Sidewash Angle (σ) we can find Vertical Tail Lift Curve Slope for given Yawing Moment Coefficient using the formula - 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)).
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))OpenImg
  • Vertical Tail Lift Curve Slope=Vertical Tail Moment/(Vertical Tail Moment Arm*(Sideslip Angle+Sidewash Angle)*Vertical Tail Dynamic Pressure*Vertical Tail Area)OpenImg
  • Vertical Tail Lift Curve Slope=Yawing Moment Coefficient/(Vertical Tail Volume Ratio*Vertical Tail Efficiency*(Sideslip Angle+Sidewash Angle))OpenImg
Can the Vertical Tail Lift Curve Slope for given Yawing Moment Coefficient be negative?
Yes, the Vertical Tail Lift Curve Slope for given Yawing Moment Coefficient, measured in Reciprocal Angle can be negative.
Which unit is used to measure Vertical Tail Lift Curve Slope for given Yawing Moment Coefficient?
Vertical Tail Lift Curve Slope for given Yawing Moment Coefficient 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 Yawing Moment Coefficient can be measured.
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