Wingspan for Yawing Moment Coefficient given Sideslip Angle and Sidewash Angle Solution

STEP 0: Pre-Calculation Summary
Formula Used
Wingspan = Vertical Tail Moment Arm*Vertical Tail Area*Vertical Tail Dynamic Pressure*Vertical Tail Lift Curve Slope*(Sideslip Angle+Sidewash Angle)/(Reference Area*Yawing Moment Coefficient*Wing Dynamic Pressure)
b = 𝒍v*Sv*Qv*Cv*(β+σ)/(S*Cn*Qw)
This formula uses 10 Variables
Variables Used
Wingspan - (Measured in Meter) - The Wingspan (or just span) of a bird or an airplane is the distance from one wingtip to the other wingtip.
Vertical Tail Moment Arm - (Measured in Meter) - The Vertical Tail Moment Arm is the distance between the centroid of the vertical tail shape and the center of gravity of the aircraft.
Vertical Tail Area - (Measured in Square Meter) - The Vertical Tail Area is the area of the surface of the vertical tail, including the submerged area to the fuselage centerline.
Vertical Tail Dynamic Pressure - (Measured in Pascal) - Vertical Tail Dynamic Pressure is the dynamic pressure associated with the vertical tail of an aircraft.
Vertical Tail Lift Curve Slope - (Measured in 1 per Radian) - The Vertical Tail Lift Curve Slope is the slope associated with the lift curve of a vertical tailplane of an aircraft.
Sideslip Angle - (Measured in Radian) - 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.
Sidewash Angle - (Measured in Radian) - 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.
Reference Area - (Measured in Square Meter) - 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.
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.
Wing Dynamic Pressure - (Measured in Pascal) - Wing Dynamic Pressure is the dynamic pressure associated with the wing of an aircraft.
STEP 1: Convert Input(s) to Base Unit
Vertical Tail Moment Arm: 1.2 Meter --> 1.2 Meter No Conversion Required
Vertical Tail Area: 5 Square Meter --> 5 Square Meter No Conversion Required
Vertical Tail Dynamic Pressure: 11 Pascal --> 11 Pascal No Conversion Required
Vertical Tail Lift Curve Slope: 0.7 1 per Radian --> 0.7 1 per Radian No Conversion Required
Sideslip Angle: 0.05 Radian --> 0.05 Radian No Conversion Required
Sidewash Angle: 0.067 Radian --> 0.067 Radian No Conversion Required
Reference Area: 5.08 Square Meter --> 5.08 Square Meter No Conversion Required
Yawing Moment Coefficient: 1.4 --> No Conversion Required
Wing Dynamic Pressure: 0.66 Pascal --> 0.66 Pascal No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
b = 𝒍v*Sv*Qv*Cv*(β+σ)/(S*Cn*Qw) --> 1.2*5*11*0.7*(0.05+0.067)/(5.08*1.4*0.66)
Evaluating ... ...
b = 1.15157480314961
STEP 3: Convert Result to Output's Unit
1.15157480314961 Meter --> No Conversion Required
FINAL ANSWER
1.15157480314961 1.151575 Meter <-- Wingspan
(Calculation completed in 00.020 seconds)

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Indian Institute for Aeronautical Engineering and Information Technology (IIAEIT), Pune
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Wing Tail Interaction Calculators

Wingspan for Yawing Moment Coefficient given Sideslip Angle and Sidewash Angle
​ LaTeX ​ Go Wingspan = Vertical Tail Moment Arm*Vertical Tail Area*Vertical Tail Dynamic Pressure*Vertical Tail Lift Curve Slope*(Sideslip Angle+Sidewash Angle)/(Reference Area*Yawing Moment Coefficient*Wing Dynamic Pressure)
Wing Dynamic Pressure for given Yawing Moment Coefficient
​ LaTeX ​ Go Wing Dynamic Pressure = Vertical Tail Moment/(Yawing Moment Coefficient*Reference Area*Wingspan)
Wing Area for given Moment Produced by Vertical Tail
​ LaTeX ​ Go Reference Area = Vertical Tail Moment/(Yawing Moment Coefficient*Wing Dynamic Pressure*Wingspan)
Wingspan for given Yawing Moment Coefficient
​ LaTeX ​ Go Wingspan = Vertical Tail Moment/(Yawing Moment Coefficient*Reference Area*Wing Dynamic Pressure)

Wingspan for Yawing Moment Coefficient given Sideslip Angle and Sidewash Angle Formula

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

What is the longest bird wingspan?

The wandering albatross holds the longest wingspan record for any flying bird, the maximum having been recorded at 11ft 10in (3.63m).

How to Calculate Wingspan for Yawing Moment Coefficient given Sideslip Angle and Sidewash Angle?

Wingspan for Yawing Moment Coefficient given Sideslip Angle and Sidewash Angle calculator uses Wingspan = Vertical Tail Moment Arm*Vertical Tail Area*Vertical Tail Dynamic Pressure*Vertical Tail Lift Curve Slope*(Sideslip Angle+Sidewash Angle)/(Reference Area*Yawing Moment Coefficient*Wing Dynamic Pressure) to calculate the Wingspan, Wingspan for Yawing Moment Coefficient given Sideslip Angle and Sidewash Angle is a measure of the aircraft's wingspan for the stable flight condition, calculated by considering the vertical tail's moment arm, area, dynamic pressure, and lift curve slope, as well as the sideslip angle and sidewash angle, in relation to the reference area and dynamic pressure of the wing, and the yawing moment coefficient. Wingspan is denoted by b symbol.

How to calculate Wingspan for Yawing Moment Coefficient given Sideslip Angle and Sidewash Angle using this online calculator? To use this online calculator for Wingspan for Yawing Moment Coefficient given Sideslip Angle and Sidewash Angle, 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), Yawing Moment Coefficient (Cn) & Wing Dynamic Pressure (Qw) and hit the calculate button. Here is how the Wingspan for Yawing Moment Coefficient given Sideslip Angle and Sidewash Angle calculation can be explained with given input values -> 1.151575 = 1.2*5*11*0.7*(0.05+0.067)/(5.08*1.4*0.66).

FAQ

What is Wingspan for Yawing Moment Coefficient given Sideslip Angle and Sidewash Angle?
Wingspan for Yawing Moment Coefficient given Sideslip Angle and Sidewash Angle is a measure of the aircraft's wingspan for the stable flight condition, calculated by considering the vertical tail's moment arm, area, dynamic pressure, and lift curve slope, as well as the sideslip angle and sidewash angle, in relation to the reference area and dynamic pressure of the wing, and the yawing moment coefficient and is represented as b = 𝒍v*Sv*Qv*Cv*(β+σ)/(S*Cn*Qw) or Wingspan = Vertical Tail Moment Arm*Vertical Tail Area*Vertical Tail Dynamic Pressure*Vertical Tail Lift Curve Slope*(Sideslip Angle+Sidewash Angle)/(Reference Area*Yawing Moment Coefficient*Wing Dynamic Pressure). The Vertical Tail Moment Arm is the distance between the centroid of the vertical tail shape and the center of gravity of the aircraft, The Vertical Tail Area is the area of the surface of the vertical tail, including the submerged area to the fuselage centerline, Vertical Tail Dynamic Pressure is the dynamic pressure associated with the vertical tail of an aircraft, The Vertical Tail Lift Curve Slope is the slope associated with the lift curve of a vertical tailplane of an aircraft, 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, 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, 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, Yawing Moment Coefficient is the coefficient associated with the moment that tends to rotate an airplane about its vertical (or yaw) axis & Wing Dynamic Pressure is the dynamic pressure associated with the wing of an aircraft.
How to calculate Wingspan for Yawing Moment Coefficient given Sideslip Angle and Sidewash Angle?
Wingspan for Yawing Moment Coefficient given Sideslip Angle and Sidewash Angle is a measure of the aircraft's wingspan for the stable flight condition, calculated by considering the vertical tail's moment arm, area, dynamic pressure, and lift curve slope, as well as the sideslip angle and sidewash angle, in relation to the reference area and dynamic pressure of the wing, and the yawing moment coefficient is calculated using Wingspan = Vertical Tail Moment Arm*Vertical Tail Area*Vertical Tail Dynamic Pressure*Vertical Tail Lift Curve Slope*(Sideslip Angle+Sidewash Angle)/(Reference Area*Yawing Moment Coefficient*Wing Dynamic Pressure). To calculate Wingspan for Yawing Moment Coefficient given Sideslip Angle and Sidewash Angle, you need 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), Yawing Moment Coefficient (Cn) & Wing Dynamic Pressure (Qw). With our tool, you need to enter the respective value for Vertical Tail Moment Arm, Vertical Tail Area, Vertical Tail Dynamic Pressure, Vertical Tail Lift Curve Slope, Sideslip Angle, Sidewash Angle, Reference Area, Yawing Moment Coefficient & Wing Dynamic Pressure and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
How many ways are there to calculate Wingspan?
In this formula, Wingspan uses Vertical Tail Moment Arm, Vertical Tail Area, Vertical Tail Dynamic Pressure, Vertical Tail Lift Curve Slope, Sideslip Angle, Sidewash Angle, Reference Area, Yawing Moment Coefficient & Wing Dynamic Pressure. We can use 2 other way(s) to calculate the same, which is/are as follows -
  • Wingspan = Vertical Tail Moment/(Yawing Moment Coefficient*Reference Area*Wing Dynamic Pressure)
  • Wingspan = Vertical Tail Moment Arm*Vertical Tail Area/(Reference Area*Vertical Tail Volume Ratio)
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