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Yawing Moment Coefficient is the coefficient associated with the moment that tends to rotate an airplane about its vertical (or yaw) axis. Check FAQs
Cn=𝒍vSvQvCvβ+σSbQw
Cn - Yawing Moment Coefficient?𝒍v - Vertical Tail Moment Arm?Sv - Vertical Tail Area?Qv - Vertical Tail Dynamic Pressure?Cv - Vertical Tail Lift Curve Slope?β - Sideslip Angle?σ - Sidewash Angle?S - Reference Area?b - Wingspan?Qw - Wing Dynamic Pressure?

Yawing Moment Coefficient for given Vertical Tail Lift Curve Slope Example

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

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

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

1.4019Edit=1.2Edit5Edit11Edit0.7Edit0.05Edit+0.067Edit5.08Edit1.15Edit0.66Edit
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Yawing Moment Coefficient for given Vertical Tail Lift Curve Slope Solution

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

FIRST Step Consider the formula
Cn=𝒍vSvQvCvβ+σSbQw
Next Step Substitute values of Variables
Cn=1.2m511Pa0.7rad⁻¹0.05rad+0.067rad5.081.15m0.66Pa
Next Step Prepare to Evaluate
Cn=1.25110.70.05+0.0675.081.150.66
Next Step Evaluate
Cn=1.40191715166039
LAST Step Rounding Answer
Cn=1.4019

Yawing Moment Coefficient for given Vertical Tail Lift Curve Slope Formula Elements

Variables
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.
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.
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.
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.
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.

Other Formulas to find Yawing Moment Coefficient

​Go Yawing Moment Coefficient using Wingspan
Cn=NvQwSb
​Go Yawing Moment Coefficient for given Vertical Tail Volume Ratio
Cn=VvηvCv(β+σ)

Other formulas in Aerodynamic Parameters category

​Go Sideslip Angle for Aircraft
β=αv-σ
​Go Sidewash angle
σ=αv-β

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

Yawing Moment Coefficient for given Vertical Tail Lift Curve Slope evaluator uses Yawing Moment Coefficient = Vertical Tail Moment Arm*Vertical Tail Area*Vertical Tail Dynamic Pressure*Vertical Tail Lift Curve Slope*(Sideslip Angle+Sidewash Angle)/(Reference Area*Wingspan*Wing Dynamic Pressure) to evaluate the Yawing Moment Coefficient, Yawing Moment Coefficient for given Vertical Tail Lift Curve Slope is a measure of the rotational force that causes an aircraft to turn around its vertical axis, influenced by the vertical tail's moment arm, area, dynamic pressure, lift curve slope, sideslip angle, and sidewash angle, relative to the wing's reference area, span, and dynamic pressure. Yawing Moment Coefficient is denoted by Cn symbol.

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

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

What is the formula to find Yawing Moment Coefficient for given Vertical Tail Lift Curve Slope?
The formula of Yawing Moment Coefficient for given Vertical Tail Lift Curve Slope is expressed as Yawing Moment Coefficient = Vertical Tail Moment Arm*Vertical Tail Area*Vertical Tail Dynamic Pressure*Vertical Tail Lift Curve Slope*(Sideslip Angle+Sidewash Angle)/(Reference Area*Wingspan*Wing Dynamic Pressure). Here is an example- 1.401917 = 1.2*5*11*0.7*(0.05+0.067)/(5.08*1.15*0.66).
How to calculate Yawing Moment Coefficient for given Vertical Tail Lift Curve Slope?
With Vertical Tail Moment Arm (𝒍v), Vertical Tail Area (Sv), Vertical Tail Dynamic Pressure (Qv), Vertical Tail Lift Curve Slope (Cv), Sideslip Angle (β), Sidewash Angle (σ), Reference Area (S), Wingspan (b) & Wing Dynamic Pressure (Qw) we can find Yawing Moment Coefficient for given Vertical Tail Lift Curve Slope using the formula - Yawing Moment Coefficient = Vertical Tail Moment Arm*Vertical Tail Area*Vertical Tail Dynamic Pressure*Vertical Tail Lift Curve Slope*(Sideslip Angle+Sidewash Angle)/(Reference Area*Wingspan*Wing Dynamic Pressure).
What are the other ways to Calculate Yawing Moment Coefficient?
Here are the different ways to Calculate Yawing Moment Coefficient-
  • Yawing Moment Coefficient=Vertical Tail Moment/(Wing Dynamic Pressure*Reference Area*Wingspan)OpenImg
  • Yawing Moment Coefficient=Vertical Tail Volume Ratio*Vertical Tail Efficiency*Vertical Tail Lift Curve Slope*(Sideslip Angle+Sidewash Angle)OpenImg
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