Horizontal tail volume ratio for given pitching moment coefficient Solution

STEP 0: Pre-Calculation Summary
Formula Used
Horizontal Tail Volume Ratio = -Tail Pitching Moment Coefficient/(Tail Efficiency*Tail Lift Coefficient)
VH = -Cmt/(η*CTlift)
This formula uses 4 Variables
Variables Used
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 Pitching Moment Coefficient - Tail Pitching Moment Coefficient is the coefficient of pitching moment associated with the horizontal tail of an aircraft.
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
Tail Pitching Moment Coefficient: -0.39 --> 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
VH = -Cmt/(η*CTlift) --> -(-0.39)/(0.92*0.3)
Evaluating ... ...
VH = 1.41304347826087
STEP 3: Convert Result to Output's Unit
1.41304347826087 --> No Conversion Required
FINAL ANSWER
1.41304347826087 1.413043 <-- Horizontal Tail Volume Ratio
(Calculation completed in 00.020 seconds)

Credits

Created by Vinay Mishra
Indian Institute for Aeronautical Engineering and Information Technology (IIAEIT), Pune
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Amrita School of Engineering (ASE), Vallikavu
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19 Tail Contribution Calculators

Tail Pitching moment coefficient for given tail efficiency
Go Tail Pitching Moment Coefficient = -(Tail Efficiency*Horizontal tail area*Horizontal tail moment arm*Tail Lift Coefficient)/(Reference Area*Mean aerodynamic chord)
Tail Efficiency for given pitching moment coefficient
Go Tail Efficiency = -(Tail Pitching Moment Coefficient*Reference Area*Mean aerodynamic chord)/(Horizontal tail moment arm*Horizontal tail area*Tail Lift Coefficient)
Tail moment arm for given tail moment coefficient
Go Horizontal tail moment arm = -(Tail Pitching Moment Coefficient*Reference Area*Mean aerodynamic chord)/(Tail Efficiency*Horizontal tail area*Tail Lift Coefficient)
Tail area for given tail moment coefficient
Go Horizontal tail area = -(Tail Pitching Moment Coefficient*Reference Area*Mean aerodynamic chord)/(Tail Efficiency*Horizontal tail moment arm*Tail Lift Coefficient)
Mean aerodynamic chord for given tail pitching moment coefficient
Go Mean aerodynamic chord = Pitching Moment due to Tail/(0.5*Freestream Density*Flight Velocity^2*Reference Area*Tail Pitching Moment Coefficient)
Tail Pitching moment coefficient
Go Tail Pitching Moment Coefficient = Pitching Moment due to Tail/(0.5*Freestream Density*Flight Velocity^2*Reference Area*Mean aerodynamic chord)
Tail Pitching moment for given moment coefficient
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
Go Pitching Moment due to Tail = -(Horizontal tail moment arm*Tail Lift Coefficient*Freestream Density*Tail Velocity^2*Horizontal tail area)/2
Wing Mean aerodynamic chord for given horizontal tail volume ratio
Go Mean aerodynamic chord = Horizontal tail moment arm*Horizontal tail area/(Reference Area*Horizontal Tail Volume Ratio)
Wing Reference area for given horizontal tail volume ratio
Go Reference Area = Horizontal tail moment arm*Horizontal tail area/(Horizontal Tail Volume Ratio*Mean aerodynamic chord)
Horizontal tail volume ratio
Go Horizontal Tail Volume Ratio = Horizontal tail moment arm*Horizontal tail area/(Reference Area*Mean aerodynamic chord)
Tail moment arm for given horizontal tail volume ratio
Go Horizontal tail moment arm = Horizontal Tail Volume Ratio*Reference Area*Mean aerodynamic chord/Horizontal tail area
Horizontal tail area for given tail volume ratio
Go Horizontal tail area = Horizontal Tail Volume Ratio*Reference Area*Mean aerodynamic chord/Horizontal tail moment arm
Horizontal tail volume ratio for given pitching moment coefficient
Go Horizontal Tail Volume Ratio = -Tail Pitching Moment Coefficient/(Tail Efficiency*Tail Lift Coefficient)
Tail lift coefficient for given tail volume ratio
Go Tail Lift Coefficient = -Tail Pitching Moment Coefficient/(Horizontal Tail Volume Ratio*Tail Efficiency)
Tail Efficiency for given tail volume ratio
Go Tail Efficiency = -Tail Pitching Moment Coefficient/(Horizontal Tail Volume Ratio*Tail Lift Coefficient)
Tail Pitching moment coefficient for given tail volume ratio
Go Tail Pitching Moment Coefficient = -Horizontal Tail Volume Ratio*Tail Efficiency*Tail Lift Coefficient
Tail lift for given tail pitching moment
Go Lift due to tail = -Pitching Moment due to Tail/Horizontal tail moment arm
Pitching moment due to tail
Go Pitching Moment due to Tail = -Horizontal tail moment arm*Lift due to tail

Horizontal tail volume ratio for given pitching moment coefficient Formula

Horizontal Tail Volume Ratio = -Tail Pitching Moment Coefficient/(Tail Efficiency*Tail Lift Coefficient)
VH = -Cmt/(η*CTlift)

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How to Calculate Horizontal tail volume ratio for given pitching moment coefficient?

Horizontal tail volume ratio for given pitching moment coefficient calculator uses Horizontal Tail Volume Ratio = -Tail Pitching Moment Coefficient/(Tail Efficiency*Tail Lift Coefficient) to calculate the Horizontal Tail Volume Ratio, The Horizontal tail volume ratio for given pitching moment coefficient is a function of tail efficiency and tail lift coefficient. Horizontal Tail Volume Ratio is denoted by VH symbol.

How to calculate Horizontal tail volume ratio for given pitching moment coefficient using this online calculator? To use this online calculator for Horizontal tail volume ratio for given pitching moment coefficient, enter Tail Pitching Moment Coefficient (Cmt), Tail Efficiency (η) & Tail Lift Coefficient (CTlift) and hit the calculate button. Here is how the Horizontal tail volume ratio for given pitching moment coefficient calculation can be explained with given input values -> 1.428571 = -(-0.39)/(0.92*0.3).

FAQ

What is Horizontal tail volume ratio for given pitching moment coefficient?
The Horizontal tail volume ratio for given pitching moment coefficient is a function of tail efficiency and tail lift coefficient and is represented as VH = -Cmt/(η*CTlift) or Horizontal Tail Volume Ratio = -Tail Pitching Moment Coefficient/(Tail Efficiency*Tail Lift Coefficient). Tail Pitching Moment Coefficient is the coefficient of pitching moment associated with the horizontal tail of an aircraft, 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 Horizontal tail volume ratio for given pitching moment coefficient?
The Horizontal tail volume ratio for given pitching moment coefficient is a function of tail efficiency and tail lift coefficient is calculated using Horizontal Tail Volume Ratio = -Tail Pitching Moment Coefficient/(Tail Efficiency*Tail Lift Coefficient). To calculate Horizontal tail volume ratio for given pitching moment coefficient, you need Tail Pitching Moment Coefficient (Cmt), Tail Efficiency (η) & Tail Lift Coefficient (CTlift). With our tool, you need to enter the respective value for Tail Pitching Moment Coefficient, 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 Horizontal Tail Volume Ratio?
In this formula, Horizontal Tail Volume Ratio uses Tail Pitching Moment Coefficient, Tail Efficiency & Tail Lift Coefficient. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • Horizontal Tail Volume Ratio = Horizontal tail moment arm*Horizontal tail area/(Reference Area*Mean aerodynamic chord)
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