Tail Lift Coefficient for given Pitching Moment Coefficient Solution

STEP 0: Pre-Calculation Summary
Formula Used
Tail Lift Coefficient = -(Tail Pitching Moment Coefficient*Reference Area*Mean Aerodynamic Chord/(Tail Efficiency*Horizontal Tail Area*Horizontal Tail Moment Arm))
CTlift = -(Cmt*S*cma/(η*St*𝒍t))
This formula uses 7 Variables
Variables Used
Tail Lift Coefficient - Tail Lift Coefficient is the lift coefficient associated with the tail (only) of an aircraft. It is a dimensionless quantity.
Tail Pitching Moment Coefficient - Tail Pitching Moment Coefficient is the coefficient of pitching moment associated with 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.
Mean Aerodynamic Chord - (Measured in Meter) - The Mean Aerodynamic Chord is a two-dimensional representation of the whole wing.
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.
Horizontal Tail Area - (Measured in Square Meter) - The Horizontal Tail Area is the surface area of the horizontal stabilizer on an aircraft, which provides pitch stability and control.
Horizontal Tail Moment Arm - (Measured in Meter) - The Horizontal Tail Moment Arm is the distance between the lift center of the horizontal tail and the center of gravity of the aircraft.
STEP 1: Convert Input(s) to Base Unit
Tail Pitching Moment Coefficient: -0.39 --> No Conversion Required
Reference Area: 5.08 Square Meter --> 5.08 Square Meter No Conversion Required
Mean Aerodynamic Chord: 0.2 Meter --> 0.2 Meter No Conversion Required
Tail Efficiency: 0.92 --> No Conversion Required
Horizontal Tail Area: 1.8 Square Meter --> 1.8 Square Meter No Conversion Required
Horizontal Tail Moment Arm: 0.801511 Meter --> 0.801511 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
CTlift = -(Cmt*S*cma/(η*St*𝒍t)) --> -((-0.39)*5.08*0.2/(0.92*1.8*0.801511))
Evaluating ... ...
CTlift = 0.298530353693013
STEP 3: Convert Result to Output's Unit
0.298530353693013 --> No Conversion Required
FINAL ANSWER
0.298530353693013 0.29853 <-- Tail Lift Coefficient
(Calculation completed in 00.004 seconds)

Credits

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Created by Vinay Mishra
Indian Institute for Aeronautical Engineering and Information Technology (IIAEIT), Pune
Vinay Mishra has created this Calculator and 300+ more calculators!
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Verified by Maiarutselvan V
PSG College of Technology (PSGCT), Coimbatore
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Wing Tail Contribution Calculators

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​ LaTeX ​ Go Wing Incidence Angle = Wing Angle of Attack-Horizontal Tail Angle of Attack-Downwash Angle+Tail Incidence Angle
Angle of Attack at Tail
​ LaTeX ​ Go Horizontal Tail Angle of Attack = Wing Angle of Attack-Wing Incidence Angle-Downwash Angle+Tail Incidence Angle
Angle of Attack of Wing
​ LaTeX ​ Go Wing Angle of Attack = Horizontal Tail Angle of Attack+Wing Incidence Angle+Downwash Angle-Tail Incidence Angle
Downwash angle
​ LaTeX ​ Go Downwash Angle = Wing Angle of Attack-Wing Incidence Angle-Horizontal Tail Angle of Attack+Tail Incidence Angle

Tail Lift Coefficient for given Pitching Moment Coefficient Formula

​LaTeX ​Go
Tail Lift Coefficient = -(Tail Pitching Moment Coefficient*Reference Area*Mean Aerodynamic Chord/(Tail Efficiency*Horizontal Tail Area*Horizontal Tail Moment Arm))
CTlift = -(Cmt*S*cma/(η*St*𝒍t))

What is elevator deflection?

An elevator is flap-like and is deflected up and down. With this deflection, the camber of the tail's airfoil is changed, and consequently, the tail lift coefficient is changed.

How to Calculate Tail Lift Coefficient for given Pitching Moment Coefficient?

Tail Lift Coefficient for given Pitching Moment Coefficient calculator uses Tail Lift Coefficient = -(Tail Pitching Moment Coefficient*Reference Area*Mean Aerodynamic Chord/(Tail Efficiency*Horizontal Tail Area*Horizontal Tail Moment Arm)) to calculate the Tail Lift Coefficient, Tail Lift Coefficient for given Pitching Moment Coefficient is a measure of the tail's ability to counteract the pitching moment, calculated as the product of the tail pitching moment coefficient, reference area and mean aerodynamic chord, divided by the tail efficiency, horizontal tail area, and horizontal tail moment arm. Tail Lift Coefficient is denoted by CTlift symbol.

How to calculate Tail Lift Coefficient for given Pitching Moment Coefficient using this online calculator? To use this online calculator for Tail Lift Coefficient for given Pitching Moment Coefficient, enter Tail Pitching Moment Coefficient (Cmt), Reference Area (S), Mean Aerodynamic Chord (cma), Tail Efficiency (η), Horizontal Tail Area (St) & Horizontal Tail Moment Arm (𝒍t) and hit the calculate button. Here is how the Tail Lift Coefficient for given Pitching Moment Coefficient calculation can be explained with given input values -> 0.29853 = -((-0.39)*5.08*0.2/(0.92*1.8*0.801511)).

FAQ

What is Tail Lift Coefficient for given Pitching Moment Coefficient?
Tail Lift Coefficient for given Pitching Moment Coefficient is a measure of the tail's ability to counteract the pitching moment, calculated as the product of the tail pitching moment coefficient, reference area and mean aerodynamic chord, divided by the tail efficiency, horizontal tail area, and horizontal tail moment arm and is represented as CTlift = -(Cmt*S*cma/(η*St*𝒍t)) or Tail Lift Coefficient = -(Tail Pitching Moment Coefficient*Reference Area*Mean Aerodynamic Chord/(Tail Efficiency*Horizontal Tail Area*Horizontal Tail Moment Arm)). Tail Pitching Moment Coefficient is the coefficient of pitching moment associated with the horizontal tail of an aircraft, 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 Mean Aerodynamic Chord is a two-dimensional representation of the whole wing, Tail Efficiency is defined as the ratio of dynamic pressure associated with the tail to dynamic pressure associated with an aircraft's wing, The Horizontal Tail Area is the surface area of the horizontal stabilizer on an aircraft, which provides pitch stability and control & The Horizontal Tail Moment Arm is the distance between the lift center of the horizontal tail and the center of gravity of the aircraft.
How to calculate Tail Lift Coefficient for given Pitching Moment Coefficient?
Tail Lift Coefficient for given Pitching Moment Coefficient is a measure of the tail's ability to counteract the pitching moment, calculated as the product of the tail pitching moment coefficient, reference area and mean aerodynamic chord, divided by the tail efficiency, horizontal tail area, and horizontal tail moment arm is calculated using Tail Lift Coefficient = -(Tail Pitching Moment Coefficient*Reference Area*Mean Aerodynamic Chord/(Tail Efficiency*Horizontal Tail Area*Horizontal Tail Moment Arm)). To calculate Tail Lift Coefficient for given Pitching Moment Coefficient, you need Tail Pitching Moment Coefficient (Cmt), Reference Area (S), Mean Aerodynamic Chord (cma), Tail Efficiency (η), Horizontal Tail Area (St) & Horizontal Tail Moment Arm (𝒍t). With our tool, you need to enter the respective value for Tail Pitching Moment Coefficient, Reference Area, Mean Aerodynamic Chord, Tail Efficiency, Horizontal Tail Area & Horizontal Tail Moment Arm 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 Tail Lift Coefficient?
In this formula, Tail Lift Coefficient uses Tail Pitching Moment Coefficient, Reference Area, Mean Aerodynamic Chord, Tail Efficiency, Horizontal Tail Area & Horizontal Tail Moment Arm. We can use 2 other way(s) to calculate the same, which is/are as follows -
  • Tail Lift Coefficient = Reference Area*(Lift Coefficient-Wing Lift Coefficient)/(Tail Efficiency*Horizontal Tail Area)
  • Tail Lift Coefficient = -2*Pitching Moment due to Tail/(Horizontal Tail Moment Arm*Freestream Density*Velocity Tail^2*Horizontal Tail Area)
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