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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. Check FAQs
σ=(CnSbQw𝒍vSvQvCv)-β
σ - Sidewash Angle?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?Cv - Vertical Tail Lift Curve Slope?β - Sideslip Angle?

Sidewash Angle given Yawing Moment Coefficient using Wingspan Example

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With units
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Here is how the Sidewash Angle given Yawing Moment Coefficient using Wingspan equation looks like with Values.

Here is how the Sidewash Angle given Yawing Moment Coefficient using Wingspan equation looks like with Units.

Here is how the Sidewash Angle given Yawing Moment Coefficient using Wingspan equation looks like.

0.0668Edit=(1.4Edit5.08Edit1.15Edit0.66Edit1.2Edit5Edit11Edit0.7Edit)-0.05Edit
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Sidewash Angle given Yawing Moment Coefficient using Wingspan Solution

Follow our step by step solution on how to calculate Sidewash Angle given Yawing Moment Coefficient using Wingspan?

FIRST Step Consider the formula
σ=(CnSbQw𝒍vSvQvCv)-β
Next Step Substitute values of Variables
σ=(1.45.081.15m0.66Pa1.2m511Pa0.7rad⁻¹)-0.05rad
Next Step Prepare to Evaluate
σ=(1.45.081.150.661.25110.7)-0.05
Next Step Evaluate
σ=0.06684rad
LAST Step Rounding Answer
σ=0.0668rad

Sidewash Angle given Yawing Moment Coefficient using Wingspan Formula Elements

Variables
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.
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.
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.

Other Formulas to find Sidewash Angle

​Go Sidewash angle
σ=αv-β
​Go Sidewash Angle for given Moment Produced by Vertical Tail
σ=(Nv𝒍vCvQvSv)-β

Other formulas in Aerodynamic Parameters category

​Go Sideslip Angle for Aircraft
β=αv-σ
​Go Yawing Moment Coefficient using Wingspan
Cn=NvQwSb

How to Evaluate Sidewash Angle given Yawing Moment Coefficient using Wingspan?

Sidewash Angle given Yawing Moment Coefficient using Wingspan evaluator uses Sidewash Angle = (Yawing Moment Coefficient*Reference Area*Wingspan*Wing Dynamic Pressure/(Vertical Tail Moment Arm*Vertical Tail Area*Vertical Tail Dynamic Pressure*Vertical Tail Lift Curve Slope))-Sideslip Angle to evaluate the Sidewash Angle, Sidewash Angle given Yawing Moment Coefficient using Wingspan is a measure of the angle between the vertical stabilizer and the horizontal stabilizer of an aircraft, calculated by considering the yawing moment coefficient, reference area, wingspan, wing dynamic pressure, vertical tail moment arm, vertical tail area, vertical tail dynamic pressure, and vertical tail lift curve slope, providing a critical parameter for aircraft stability and control analysis. Sidewash Angle is denoted by σ symbol.

How to evaluate Sidewash Angle given Yawing Moment Coefficient using Wingspan using this online evaluator? To use this online evaluator for Sidewash Angle given Yawing Moment Coefficient using Wingspan, 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), Vertical Tail Lift Curve Slope (Cv) & Sideslip Angle (β) and hit the calculate button.

FAQs on Sidewash Angle given Yawing Moment Coefficient using Wingspan

What is the formula to find Sidewash Angle given Yawing Moment Coefficient using Wingspan?
The formula of Sidewash Angle given Yawing Moment Coefficient using Wingspan is expressed as Sidewash Angle = (Yawing Moment Coefficient*Reference Area*Wingspan*Wing Dynamic Pressure/(Vertical Tail Moment Arm*Vertical Tail Area*Vertical Tail Dynamic Pressure*Vertical Tail Lift Curve Slope))-Sideslip Angle. Here is an example- 0.06684 = (1.4*5.08*1.15*0.66/(1.2*5*11*0.7))-0.05.
How to calculate Sidewash Angle given Yawing Moment Coefficient using Wingspan?
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), Vertical Tail Lift Curve Slope (Cv) & Sideslip Angle (β) we can find Sidewash Angle given Yawing Moment Coefficient using Wingspan using the formula - Sidewash Angle = (Yawing Moment Coefficient*Reference Area*Wingspan*Wing Dynamic Pressure/(Vertical Tail Moment Arm*Vertical Tail Area*Vertical Tail Dynamic Pressure*Vertical Tail Lift Curve Slope))-Sideslip Angle.
What are the other ways to Calculate Sidewash Angle?
Here are the different ways to Calculate Sidewash Angle-
  • Sidewash Angle=Vertical Tail Angle of Attack-Sideslip AngleOpenImg
  • Sidewash Angle=(Vertical Tail Moment/(Vertical Tail Moment Arm*Vertical Tail Lift Curve Slope*Vertical Tail Dynamic Pressure*Vertical Tail Area))-Sideslip AngleOpenImg
  • Sidewash Angle=(Yawing Moment Coefficient/(Vertical Tail Volume Ratio*Vertical Tail Efficiency*Vertical Tail Lift Curve Slope))-Sideslip AngleOpenImg
Can the Sidewash Angle given Yawing Moment Coefficient using Wingspan be negative?
Yes, the Sidewash Angle given Yawing Moment Coefficient using Wingspan, measured in Angle can be negative.
Which unit is used to measure Sidewash Angle given Yawing Moment Coefficient using Wingspan?
Sidewash Angle given Yawing Moment Coefficient using Wingspan is usually measured using the Radian[rad] for Angle. Degree[rad], Minute[rad], Second[rad] are the few other units in which Sidewash Angle given Yawing Moment Coefficient using Wingspan can be measured.
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