FormulaDen.com

Physics Chemistry Math Chemical Engineering Civil Electrical Electronics Electronics and Instrumentation Materials Science Mechanical Production Engineering Financial Health

Tail Area for given Tail Moment Coefficient Formula

GoHorizontal tail area for given tail volume ratio Formula

Fx Copy

LaTeX Copy

The Horizontal Tail Area is the surface area of the horizontal stabilizer on an aircraft, which provides pitch stability and control. Check FAQs

S t = - \frac{Cm t \cdot S \cdot c ma}{η \cdot 𝒍 t \cdot CT lift}

S_t - Horizontal Tail Area?Cm_t - Tail Pitching Moment Coefficient?S - Reference Area?c_ma - Mean Aerodynamic Chord?η - Tail Efficiency?𝒍_t - Horizontal Tail Moment Arm?CT_lift - Tail Lift Coefficient?

Tail Area for given Tail Moment Coefficient Example

With values

With units

Only example

Here is how the Tail Area for given Tail Moment Coefficient equation looks like with Values.

Here is how the Tail Area for given Tail Moment Coefficient equation looks like with Units.

Here is how the Tail Area for given Tail Moment Coefficient equation looks like.

1.7912 = - \frac{-0.39 \cdot 5.08 \cdot 0.2}{0.92 \cdot 0.8015 \cdot 0.3}

1.7912m² = - \frac{-0.39 \cdot 5.08m² \cdot 0.2m}{0.92 \cdot 0.8015m \cdot 0.3}

1.7912 = - \frac{-0.39 \cdot 5.08 \cdot 0.2}{0.92 \cdot 0.8015 \cdot 0.3}

Tip: Use pencil ( Pencil

) icon above to edit Input Values and Units.

Calculate

Recalculate

Solution

Copy

Reset

You are here -

Home » Category

Physics » Category

Aerospace » Category

Aircraft Mechanics » fx Tail Area for given Tail Moment Coefficient

Tail Area for given Tail Moment Coefficient Solution

Follow our step by step solution on how to calculate Tail Area for given Tail Moment Coefficient?

FIRST Step Consider the formula

S t = - \frac{Cm t \cdot S \cdot c ma}{η \cdot 𝒍 t \cdot CT lift}

Next Step Substitute values of Variables

∴

S t = - \frac{-0.39 \cdot 5.08m² \cdot 0.2m}{0.92 \cdot 0.8015m \cdot 0.3}

Next Step Prepare to Evaluate

∴

S t = - \frac{-0.39 \cdot 5.08 \cdot 0.2}{0.92 \cdot 0.8015 \cdot 0.3}

Next Step Evaluate

∴

S t = 1.79118212215808m²

LAST Step Rounding Answer

∴

S t = 1.7912m²

Tail Area for given Tail Moment Coefficient Formula Elements

Variables

Horizontal Tail Area

The Horizontal Tail Area is the surface area of the horizontal stabilizer on an aircraft, which provides pitch stability and control.

Symbol: S_t

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Horizontal Tail Area

Tail Pitching Moment Coefficient

Tail Pitching Moment Coefficient is the coefficient of pitching moment associated with the horizontal tail of an aircraft.

Symbol: Cm_t

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Tail Pitching Moment Coefficient

Reference Area

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.

Symbol: S

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Reference Area

Mean Aerodynamic Chord

The Mean Aerodynamic Chord is a two-dimensional representation of the whole wing.

Symbol: c_ma

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Mean Aerodynamic 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.

Symbol: η

Measurement: NAUnit: Unitless

Note: Value should be between 0.8 to 1.2.

Formulas to find Tail Efficiency

Horizontal Tail Moment Arm

The Horizontal Tail Moment Arm is the distance between the lift center of the horizontal tail and the center of gravity of the aircraft.

Symbol: 𝒍_t

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Horizontal Tail Moment Arm

Tail Lift Coefficient

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

Symbol: CT_lift

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Tail Lift Coefficient

Other Formulas to find Horizontal Tail Area

Go Horizontal tail area for given tail volume ratio

S t = V H \cdot S \cdot \frac{c ma}{𝒍 t}

Other formulas in Tail Contribution category

Go Tail Pitching Moment for given Lift Coefficient

M t = - \frac{𝒍 t \cdot CT lift \cdot ρ ∞ \cdot {V tail}^{2} \cdot S t}{2}

Go Tail Lift for given Tail Pitching Moment

L t = - (\frac{M t}{𝒍 t})

How to Evaluate Tail Area for given Tail Moment Coefficient?

Tail Area for given Tail Moment Coefficient evaluator uses Horizontal Tail Area = -(Tail Pitching Moment Coefficient*Reference Area*Mean Aerodynamic Chord)/(Tail Efficiency*Horizontal Tail Moment Arm*Tail Lift Coefficient) to evaluate the Horizontal Tail Area, Tail Area for given Tail Moment Coefficient is a measure of the horizontal tail area required to achieve a desired tail moment coefficient, taking into account the reference area, mean aerodynamic chord, tail efficiency, and lift coefficient of the tail, it is a critical calculation in aircraft design, ensuring stability and control during flight. Horizontal Tail Area is denoted by S_t symbol.

How to evaluate Tail Area for given Tail Moment Coefficient using this online evaluator? To use this online evaluator for Tail Area for given Tail Moment Coefficient, enter Tail Pitching Moment Coefficient (Cm_t), Reference Area (S), Mean Aerodynamic Chord (c_ma), Tail Efficiency (η), Horizontal Tail Moment Arm (𝒍_t) & Tail Lift Coefficient (CT_lift) and hit the calculate button.

FAQs on Tail Area for given Tail Moment Coefficient

What is the formula to find Tail Area for given Tail Moment Coefficient?

The formula of Tail Area for given Tail Moment Coefficient is expressed as Horizontal Tail Area = -(Tail Pitching Moment Coefficient*Reference Area*Mean Aerodynamic Chord)/(Tail Efficiency*Horizontal Tail Moment Arm*Tail Lift Coefficient). Here is an example- 1.791182 = -((-0.39)*5.08*0.2)/(0.92*0.801511*0.3).

How to calculate Tail Area for given Tail Moment Coefficient?

With Tail Pitching Moment Coefficient (Cm_t), Reference Area (S), Mean Aerodynamic Chord (c_ma), Tail Efficiency (η), Horizontal Tail Moment Arm (𝒍_t) & Tail Lift Coefficient (CT_lift) we can find Tail Area for given Tail Moment Coefficient using the formula - Horizontal Tail Area = -(Tail Pitching Moment Coefficient*Reference Area*Mean Aerodynamic Chord)/(Tail Efficiency*Horizontal Tail Moment Arm*Tail Lift Coefficient).

What are the other ways to Calculate Horizontal Tail Area?

Here are the different ways to Calculate Horizontal Tail Area-

Horizontal Tail Area=Horizontal Tail Volume Ratio*Reference Area*Mean Aerodynamic Chord/Horizontal Tail Moment Arm

Can the Tail Area for given Tail Moment Coefficient be negative?

No, the Tail Area for given Tail Moment Coefficient, measured in Area cannot be negative.

Which unit is used to measure Tail Area for given Tail Moment Coefficient?

Tail Area for given Tail Moment Coefficient is usually measured using the Square Meter[m²] for Area. Square Kilometer[m²], Square Centimeter[m²], Square Millimeter[m²] are the few other units in which Tail Area for given Tail Moment Coefficient can be measured.

Let Others Know

✖

Facebook

Twitter

Copied!

: Value
: Unit

Tail Area for given Tail Moment Coefficient Formula

​GoHorizontal tail area for given tail volume ratio Formula

Tail Area for given Tail Moment Coefficient Example

Tail Area for given Tail Moment Coefficient Solution

Tail Area for given Tail Moment Coefficient Formula Elements

Other Formulas to find Horizontal Tail Area

Other formulas in Tail Contribution category

How to Evaluate Tail Area for given Tail Moment Coefficient?

FAQs on Tail Area for given Tail Moment Coefficient

Variable Name

GoHorizontal tail area for given tail volume ratio Formula