Tail Efficiency for given Pitching Moment Coefficient Calculator

✖Tail Pitching Moment Coefficient is the coefficient of pitching moment associated with the horizontal tail of an aircraft.ⓘ Tail Pitching Moment Coefficient [Cm_t]			+10% -10%
✖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.ⓘ Reference Area [S]			+10% -10%
✖The Mean Aerodynamic Chord is a two-dimensional representation of the whole wing.ⓘ Mean Aerodynamic Chord [c_ma]			+10% -10%
✖The Horizontal Tail Moment Arm is the distance between the lift center of the horizontal tail and the center of gravity of the aircraft.ⓘ Horizontal Tail Moment Arm [𝒍_t]			+10% -10%
✖The Horizontal Tail Area is the surface area of the horizontal stabilizer on an aircraft, which provides pitch stability and control.ⓘ Horizontal Tail Area [S_t]			+10% -10%
✖Tail Lift Coefficient is the lift coefficient associated with the tail (only) of an aircraft. It is a dimensionless quantity.ⓘ Tail Lift Coefficient [CT_lift]			+10% -10%

✖Tail Efficiency is defined as the ratio of dynamic pressure associated with the tail to dynamic pressure associated with an aircraft's wing.ⓘ Tail Efficiency for given Pitching Moment Coefficient [η]

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Tail Efficiency for given Pitching Moment Coefficient Solution

STEP 0: Pre-Calculation Summary

Formula Used

Tail Efficiency = -(Tail Pitching Moment Coefficient*Reference Area*Mean Aerodynamic Chord)/(Horizontal Tail Moment Arm*Horizontal Tail Area*Tail Lift Coefficient)
η = -(Cm_t*S*c_ma)/(𝒍_t*S_t*CT_lift)
This formula uses 7 Variables

Variables Used

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.
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.
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.
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.
Tail Lift Coefficient - Tail Lift Coefficient is the lift coefficient associated with the tail (only) of an aircraft. It is a dimensionless quantity.

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
Horizontal Tail Moment Arm: 0.801511 Meter --> 0.801511 Meter No Conversion Required
Horizontal Tail Area: 1.8 Square Meter --> 1.8 Square Meter No Conversion Required
Tail Lift Coefficient: 0.3 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

η = -(Cm_t*S*c_ma)/(𝒍_t*S_t*CT_lift) --> -((-0.39)*5.08*0.2)/(0.801511*1.8*0.3)

Evaluating ... ...

η = 0.915493084658573

STEP 3: Convert Result to Output's Unit

0.915493084658573 --> No Conversion Required

FINAL ANSWER

0.915493084658573 ≈ 0.915493 <-- Tail Efficiency

(Calculation completed in 00.008 seconds)

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Created by Vinay Mishra

Indian Institute for Aeronautical Engineering and Information Technology (IIAEIT), Pune

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Verified by Maiarutselvan V

PSG College of Technology (PSGCT), Coimbatore

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< Tail Contribution Calculators

Tail Pitching Moment for given Moment Coefficient

LaTeX Go Pitching Moment due to Tail = (Tail Pitching Moment Coefficient*Freestream Density*Flight Velocity^2*Reference Area*Mean Aerodynamic Chord)/2

Tail Pitching Moment for given Lift Coefficient

LaTeX Go Pitching Moment due to Tail = -(Horizontal Tail Moment Arm*Tail Lift Coefficient*Freestream Density*Velocity Tail^2*Horizontal Tail Area)/2

Tail Lift for given Tail Pitching Moment

LaTeX Go Lift due to Tail = -(Pitching Moment due to Tail/Horizontal Tail Moment Arm)

Pitching Moment due to Tail

LaTeX Go Pitching Moment due to Tail = -Horizontal Tail Moment Arm*Lift due to Tail

Tail Efficiency for given Pitching Moment Coefficient Formula

LaTeX Go

What is the objective of elevator?

The main objective of elevator deflection is to increase or decrease tailplane lift and hence tailplane pitching moment.

How to Calculate Tail Efficiency for given Pitching Moment Coefficient?

Tail Efficiency for given Pitching Moment Coefficient calculator uses Tail Efficiency = -(Tail Pitching Moment Coefficient*Reference Area*Mean Aerodynamic Chord)/(Horizontal Tail Moment Arm*Horizontal Tail Area*Tail Lift Coefficient) to calculate the Tail Efficiency, Tail Efficiency for given Pitching Moment Coefficient is a measure of the effectiveness of an aircraft's horizontal tail in producing a pitching moment, relative to the reference area, mean aerodynamic chord, and lift coefficient of the tail, taking into account the pitching moment coefficient, reference area, and moment arm of the horizontal tail. Tail Efficiency is denoted by η symbol.

How to calculate Tail Efficiency for given Pitching Moment Coefficient using this online calculator? To use this online calculator for Tail Efficiency for given Pitching Moment Coefficient, enter Tail Pitching Moment Coefficient (Cm_t), Reference Area (S), Mean Aerodynamic Chord (c_ma), Horizontal Tail Moment Arm (𝒍_t), Horizontal Tail Area (S_t) & Tail Lift Coefficient (CT_lift) and hit the calculate button. Here is how the Tail Efficiency for given Pitching Moment Coefficient calculation can be explained with given input values -> 0.915493 = -((-0.39)*5.08*0.2)/(0.801511*1.8*0.3).

FAQ

What is Tail Efficiency for given Pitching Moment Coefficient?

Tail Efficiency for given Pitching Moment Coefficient is a measure of the effectiveness of an aircraft's horizontal tail in producing a pitching moment, relative to the reference area, mean aerodynamic chord, and lift coefficient of the tail, taking into account the pitching moment coefficient, reference area, and moment arm of the horizontal tail and is represented as η = -(Cm_t*S*c_ma)/(𝒍_t*S_t*CT_lift) or Tail Efficiency = -(Tail Pitching Moment Coefficient*Reference Area*Mean Aerodynamic Chord)/(Horizontal Tail Moment Arm*Horizontal Tail Area*Tail Lift Coefficient). 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, The Horizontal Tail Moment Arm is the distance between the lift center of the horizontal tail and the center of gravity of the aircraft, The Horizontal Tail Area is the surface area of the horizontal stabilizer on an aircraft, which provides pitch stability and control & Tail Lift Coefficient is the lift coefficient associated with the tail (only) of an aircraft. It is a dimensionless quantity.

How to calculate Tail Efficiency for given Pitching Moment Coefficient?

Tail Efficiency for given Pitching Moment Coefficient is a measure of the effectiveness of an aircraft's horizontal tail in producing a pitching moment, relative to the reference area, mean aerodynamic chord, and lift coefficient of the tail, taking into account the pitching moment coefficient, reference area, and moment arm of the horizontal tail is calculated using Tail Efficiency = -(Tail Pitching Moment Coefficient*Reference Area*Mean Aerodynamic Chord)/(Horizontal Tail Moment Arm*Horizontal Tail Area*Tail Lift Coefficient). To calculate Tail Efficiency for given Pitching Moment Coefficient, you need Tail Pitching Moment Coefficient (Cm_t), Reference Area (S), Mean Aerodynamic Chord (c_ma), Horizontal Tail Moment Arm (𝒍_t), Horizontal Tail Area (S_t) & Tail Lift Coefficient (CT_lift). With our tool, you need to enter the respective value for Tail Pitching Moment Coefficient, Reference Area, Mean Aerodynamic Chord, Horizontal Tail Moment Arm, Horizontal Tail Area & Tail Lift Coefficient 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 Efficiency?

In this formula, Tail Efficiency uses Tail Pitching Moment Coefficient, Reference Area, Mean Aerodynamic Chord, Horizontal Tail Moment Arm, Horizontal Tail Area & Tail Lift Coefficient. We can use 1 other way(s) to calculate the same, which is/are as follows -

Tail Efficiency = -(Tail Pitching Moment Coefficient/(Horizontal Tail Volume Ratio*Tail Lift Coefficient))

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