Wing Area for given Vertical Tail Volume Ratio Solution

STEP 0: Pre-Calculation Summary
Formula Used
Reference Area = Vertical Tail Moment Arm*Vertical Tail Area/(Wingspan*Vertical Tail Volume Ratio)
S = 𝒍v*Sv/(b*Vv)
This formula uses 5 Variables
Variables Used
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.
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.
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 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.
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
Wingspan: 1.15 Meter --> 1.15 Meter No Conversion Required
Vertical Tail Volume Ratio: 1.02 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
S = 𝒍v*Sv/(b*Vv) --> 1.2*5/(1.15*1.02)
Evaluating ... ...
S = 5.1150895140665
STEP 3: Convert Result to Output's Unit
5.1150895140665 Square Meter --> No Conversion Required
FINAL ANSWER
5.1150895140665 5.11509 Square Meter <-- Reference Area
(Calculation completed in 00.007 seconds)

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Created by Vinay Mishra
Indian Institute for Aeronautical Engineering and Information Technology (IIAEIT), Pune
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Indian Institute of Technology (IIT), Bombay
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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)

Wing Area for given Vertical Tail Volume Ratio Formula

​LaTeX ​Go
Reference Area = Vertical Tail Moment Arm*Vertical Tail Area/(Wingspan*Vertical Tail Volume Ratio)
S = 𝒍v*Sv/(b*Vv)

How do you find wing area?

In aerodynamics, the surface area of a wing is calculated by looking at the wing from a top-down view and measuring the wing area. This surface area is also known as the planform area. The planform area is an important value when calculating the performance of an airplane.

How to Calculate Wing Area for given Vertical Tail Volume Ratio?

Wing Area for given Vertical Tail Volume Ratio calculator uses Reference Area = Vertical Tail Moment Arm*Vertical Tail Area/(Wingspan*Vertical Tail Volume Ratio) to calculate the Reference Area, Wing Area for given Vertical Tail Volume Ratio is a measure of the reference area of an aircraft's wing required for directional stability, calculated by considering the vertical tail moment arm, vertical tail area, wingspan, and vertical tail volume ratio, ensuring stable and controlled flight dynamics. Reference Area is denoted by S symbol.

How to calculate Wing Area for given Vertical Tail Volume Ratio using this online calculator? To use this online calculator for Wing Area for given Vertical Tail Volume Ratio, enter Vertical Tail Moment Arm (𝒍v), Vertical Tail Area (Sv), Wingspan (b) & Vertical Tail Volume Ratio (Vv) and hit the calculate button. Here is how the Wing Area for given Vertical Tail Volume Ratio calculation can be explained with given input values -> 5.11509 = 1.2*5/(1.15*1.02).

FAQ

What is Wing Area for given Vertical Tail Volume Ratio?
Wing Area for given Vertical Tail Volume Ratio is a measure of the reference area of an aircraft's wing required for directional stability, calculated by considering the vertical tail moment arm, vertical tail area, wingspan, and vertical tail volume ratio, ensuring stable and controlled flight dynamics and is represented as S = 𝒍v*Sv/(b*Vv) or Reference Area = Vertical Tail Moment Arm*Vertical Tail Area/(Wingspan*Vertical Tail Volume Ratio). 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, The Wingspan (or just span) of a bird or an airplane is the distance from one wingtip to the other wingtip & 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.
How to calculate Wing Area for given Vertical Tail Volume Ratio?
Wing Area for given Vertical Tail Volume Ratio is a measure of the reference area of an aircraft's wing required for directional stability, calculated by considering the vertical tail moment arm, vertical tail area, wingspan, and vertical tail volume ratio, ensuring stable and controlled flight dynamics is calculated using Reference Area = Vertical Tail Moment Arm*Vertical Tail Area/(Wingspan*Vertical Tail Volume Ratio). To calculate Wing Area for given Vertical Tail Volume Ratio, you need Vertical Tail Moment Arm (𝒍v), Vertical Tail Area (Sv), Wingspan (b) & Vertical Tail Volume Ratio (Vv). With our tool, you need to enter the respective value for Vertical Tail Moment Arm, Vertical Tail Area, Wingspan & Vertical Tail Volume Ratio 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 Reference Area?
In this formula, Reference Area uses Vertical Tail Moment Arm, Vertical Tail Area, Wingspan & Vertical Tail Volume Ratio. We can use 2 other way(s) to calculate the same, which is/are as follows -
  • Reference Area = Vertical Tail Moment/(Yawing Moment Coefficient*Wing Dynamic Pressure*Wingspan)
  • Reference Area = Vertical Tail Moment Arm*Vertical Tail Area*Vertical Tail Dynamic Pressure*Vertical Tail Lift Curve Slope*(Sideslip Angle+Sidewash Angle)/(Yawing Moment Coefficient*Wingspan*Wing Dynamic Pressure)
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