Tail area for given tail efficiency Solution

STEP 0: Pre-Calculation Summary
Formula Used
Horizontal tail area = Reference Area*(Lift Coefficient-Wing Lift Coefficient)/(Tail Lift Coefficient*Tail Efficiency)
St = S*(CL-CWlift)/(CTlift*η)
This formula uses 6 Variables
Variables Used
Horizontal tail area - (Measured in Square Meter) - The Horizontal tail area is the area of the horizontal tail of an aircraft.
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.
Lift Coefficient - The Lift Coefficient is a dimensionless coefficient that relates the lift generated by a lifting body to the fluid density around the body, the fluid velocity and an associated reference area.
Wing Lift Coefficient - Wing Lift Coefficient is the lift coefficient associated with the wing (only) of an aircraft. It is a dimensionless quantity.
Tail Lift Coefficient - Tail Lift Coefficient is the lift coefficient associated with the tail (only) of an aircraft. It is a dimensionless quantity.
Tail Efficiency - Tail Efficiency is defined as the ratio of dynamic pressure associated with the tail to dynamic pressure associated with an aircraft's wing.
STEP 1: Convert Input(s) to Base Unit
Reference Area: 5.08 Square Meter --> 5.08 Square Meter No Conversion Required
Lift Coefficient: 1.108 --> No Conversion Required
Wing Lift Coefficient: 1.01 --> No Conversion Required
Tail Lift Coefficient: 0.3 --> No Conversion Required
Tail Efficiency: 0.92 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
St = S*(CL-CWlift)/(CTlift*η) --> 5.08*(1.108-1.01)/(0.3*0.92)
Evaluating ... ...
St = 1.80376811594203
STEP 3: Convert Result to Output's Unit
1.80376811594203 Square Meter --> No Conversion Required
FINAL ANSWER
1.80376811594203 1.803768 Square Meter <-- Horizontal tail area
(Calculation completed in 00.004 seconds)

Credits

Created by Vinay Mishra
Indian Institute for Aeronautical Engineering and Information Technology (IIAEIT), Pune
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PSG College of Technology (PSGCT), Coimbatore
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15 Wing-Tail Contribution Calculators

Tail lift coefficient for given pitching moment coefficient
Go Tail Lift Coefficient = -Tail Pitching Moment Coefficient*Reference Area*Mean aerodynamic chord/(Tail Efficiency*Horizontal tail area*Horizontal tail moment arm)
Tail lift coefficient for given pitching moment
Go Tail Lift Coefficient = -2*Pitching Moment due to Tail/(Horizontal tail moment arm*Freestream Density*Tail Velocity^2*Horizontal tail area)
Tail Lift Coefficient of wing-tail combination
Go Tail Lift Coefficient = Reference Area*(Lift Coefficient-Wing Lift Coefficient)/(Tail Efficiency*Horizontal tail area)
Tail Efficiency for given lift coefficients
Go Tail Efficiency = Reference Area*(Lift Coefficient-Wing Lift Coefficient)/(Tail Lift Coefficient*Horizontal tail area)
Tail area for given tail efficiency
Go Horizontal tail area = Reference Area*(Lift Coefficient-Wing Lift Coefficient)/(Tail Lift Coefficient*Tail Efficiency)
Total Lift Coefficient of wing-tail combination
Go Lift Coefficient = Wing Lift Coefficient+(Tail Efficiency*Horizontal tail area*Tail Lift Coefficient/Reference Area)
Wing Lift Coefficient of wing-tail combination
Go Wing Lift Coefficient = Lift Coefficient-(Tail Efficiency*Horizontal tail area*Tail Lift Coefficient/Reference Area)
Angle of incidence of wing
Go Wing incidence angle = Wing angle of attack-Horizontal tail angle of attack-Downwash angle+Tail incidence angle
Angle of incidence of tail
Go Tail incidence angle = Horizontal tail angle of attack-Wing angle of attack+Wing incidence angle+Downwash angle
Angle of Attack at Tail
Go Horizontal tail angle of attack = Wing angle of attack-Wing incidence angle-Downwash angle+Tail incidence angle
Angle of attack of wing
Go Wing angle of attack = Horizontal tail angle of attack+Wing incidence angle+Downwash angle-Tail incidence angle
Downwash angle
Go Downwash angle = Wing angle of attack-Wing incidence angle-Horizontal tail angle of attack+Tail incidence angle
Total Lift of wing-tail combination
Go Lift Force = Lift due to wing+Lift due to tail
Lift due to wing only
Go Lift due to wing = Lift Force-Lift due to tail
Lift due to tail only
Go Lift due to tail = Lift Force-Lift due to wing

Tail area for given tail efficiency Formula

Horizontal tail area = Reference Area*(Lift Coefficient-Wing Lift Coefficient)/(Tail Lift Coefficient*Tail Efficiency)
St = S*(CL-CWlift)/(CTlift*η)

Does the horizontal stabilizer produce lift?

Yes, but not to contribute to the overall lift affecting the aircraft as a whole. The horizontal stabilizer/elevators use the aerodynamic force of lift to raise or lower the aircraft's nose (“change its pitch”).

How to Calculate Tail area for given tail efficiency?

Tail area for given tail efficiency calculator uses Horizontal tail area = Reference Area*(Lift Coefficient-Wing Lift Coefficient)/(Tail Lift Coefficient*Tail Efficiency) to calculate the Horizontal tail area, The Tail area for given tail efficiency is a function of total lift coefficient, tail efficiency, tail lift coefficient, and wing lift coefficient. Horizontal tail area is denoted by St symbol.

How to calculate Tail area for given tail efficiency using this online calculator? To use this online calculator for Tail area for given tail efficiency, enter Reference Area (S), Lift Coefficient (CL), Wing Lift Coefficient (CWlift), Tail Lift Coefficient (CTlift) & Tail Efficiency (η) and hit the calculate button. Here is how the Tail area for given tail efficiency calculation can be explained with given input values -> 1.656522 = 5.08*(1.108-1.01)/(0.3*0.92).

FAQ

What is Tail area for given tail efficiency?
The Tail area for given tail efficiency is a function of total lift coefficient, tail efficiency, tail lift coefficient, and wing lift coefficient and is represented as St = S*(CL-CWlift)/(CTlift*η) or Horizontal tail area = Reference Area*(Lift Coefficient-Wing Lift Coefficient)/(Tail Lift Coefficient*Tail Efficiency). 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, The Lift Coefficient is a dimensionless coefficient that relates the lift generated by a lifting body to the fluid density around the body, the fluid velocity and an associated reference area, Wing Lift Coefficient is the lift coefficient associated with the wing (only) of an aircraft. It is a dimensionless quantity, Tail Lift Coefficient is the lift coefficient associated with the tail (only) of an aircraft. It is a dimensionless quantity & Tail Efficiency is defined as the ratio of dynamic pressure associated with the tail to dynamic pressure associated with an aircraft's wing.
How to calculate Tail area for given tail efficiency?
The Tail area for given tail efficiency is a function of total lift coefficient, tail efficiency, tail lift coefficient, and wing lift coefficient is calculated using Horizontal tail area = Reference Area*(Lift Coefficient-Wing Lift Coefficient)/(Tail Lift Coefficient*Tail Efficiency). To calculate Tail area for given tail efficiency, you need Reference Area (S), Lift Coefficient (CL), Wing Lift Coefficient (CWlift), Tail Lift Coefficient (CTlift) & Tail Efficiency (η). With our tool, you need to enter the respective value for Reference Area, Lift Coefficient, Wing Lift Coefficient, Tail Lift Coefficient & Tail Efficiency and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
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