Tail Pitching Moment Coefficient for given Tail Volume Ratio Solution

STEP 0: Pre-Calculation Summary
Formula Used
Tail Pitching Moment Coefficient = -Horizontal Tail Volume Ratio*Tail Efficiency*Tail Lift Coefficient
Cmt = -VH*η*CTlift
This formula uses 4 Variables
Variables Used
Tail Pitching Moment Coefficient - Tail Pitching Moment Coefficient is the coefficient of pitching moment associated with the horizontal tail of an aircraft.
Horizontal Tail Volume Ratio - Horizontal Tail Volume Ratio relates the area of the horizontal tail, the distance between tail and aircraft's c.g., the wing area, and the mean aerodynamic wing chord.
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 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
Horizontal Tail Volume Ratio: 1.42 --> No Conversion Required
Tail Efficiency: 0.92 --> No Conversion Required
Tail Lift Coefficient: 0.3 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Cmt = -VH*η*CTlift --> -1.42*0.92*0.3
Evaluating ... ...
Cmt = -0.39192
STEP 3: Convert Result to Output's Unit
-0.39192 --> No Conversion Required
FINAL ANSWER
-0.39192 <-- Tail Pitching Moment 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
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Verified by Sanjay Krishna
Amrita School of Engineering (ASE), Vallikavu
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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 Pitching Moment Coefficient for given Tail Volume Ratio Formula

​LaTeX ​Go
Tail Pitching Moment Coefficient = -Horizontal Tail Volume Ratio*Tail Efficiency*Tail Lift Coefficient
Cmt = -VH*η*CTlift

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How to Calculate Tail Pitching Moment Coefficient for given Tail Volume Ratio?

Tail Pitching Moment Coefficient for given Tail Volume Ratio calculator uses Tail Pitching Moment Coefficient = -Horizontal Tail Volume Ratio*Tail Efficiency*Tail Lift Coefficient to calculate the Tail Pitching Moment Coefficient, Tail Pitching Moment Coefficient for given Tail Volume Ratio is a measure of the rotational force that causes the tail of an aircraft to rotate around its vertical axis, dependent on the tail volume ratio, tail efficiency, and lift coefficient of the tail. Tail Pitching Moment Coefficient is denoted by Cmt symbol.

How to calculate Tail Pitching Moment Coefficient for given Tail Volume Ratio using this online calculator? To use this online calculator for Tail Pitching Moment Coefficient for given Tail Volume Ratio, enter Horizontal Tail Volume Ratio (VH), Tail Efficiency (η) & Tail Lift Coefficient (CTlift) and hit the calculate button. Here is how the Tail Pitching Moment Coefficient for given Tail Volume Ratio calculation can be explained with given input values -> -0.39 = -1.42*0.92*0.3.

FAQ

What is Tail Pitching Moment Coefficient for given Tail Volume Ratio?
Tail Pitching Moment Coefficient for given Tail Volume Ratio is a measure of the rotational force that causes the tail of an aircraft to rotate around its vertical axis, dependent on the tail volume ratio, tail efficiency, and lift coefficient of the tail and is represented as Cmt = -VH*η*CTlift or Tail Pitching Moment Coefficient = -Horizontal Tail Volume Ratio*Tail Efficiency*Tail Lift Coefficient. Horizontal Tail Volume Ratio relates the area of the horizontal tail, the distance between tail and aircraft's c.g., the wing area, and the mean aerodynamic wing chord, Tail Efficiency is defined as the ratio of dynamic pressure associated with the tail to dynamic pressure associated with an aircraft's wing & Tail Lift Coefficient is the lift coefficient associated with the tail (only) of an aircraft. It is a dimensionless quantity.
How to calculate Tail Pitching Moment Coefficient for given Tail Volume Ratio?
Tail Pitching Moment Coefficient for given Tail Volume Ratio is a measure of the rotational force that causes the tail of an aircraft to rotate around its vertical axis, dependent on the tail volume ratio, tail efficiency, and lift coefficient of the tail is calculated using Tail Pitching Moment Coefficient = -Horizontal Tail Volume Ratio*Tail Efficiency*Tail Lift Coefficient. To calculate Tail Pitching Moment Coefficient for given Tail Volume Ratio, you need Horizontal Tail Volume Ratio (VH), Tail Efficiency (η) & Tail Lift Coefficient (CTlift). With our tool, you need to enter the respective value for Horizontal Tail Volume Ratio, Tail Efficiency & 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 Pitching Moment Coefficient?
In this formula, Tail Pitching Moment Coefficient uses Horizontal Tail Volume Ratio, Tail Efficiency & Tail Lift Coefficient. We can use 2 other way(s) to calculate the same, which is/are as follows -
  • Tail Pitching Moment Coefficient = Pitching Moment due to Tail/(0.5*Freestream Density*Flight Velocity^2*Reference Area*Mean Aerodynamic Chord)
  • Tail Pitching Moment Coefficient = -(Tail Efficiency*Horizontal Tail Area*Horizontal Tail Moment Arm*Tail Lift Coefficient)/(Reference Area*Mean Aerodynamic Chord)
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