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Tail area for given tail efficiency Formula

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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 = S \cdot \frac{C L - CW lift}{CT lift \cdot η}

S_t - Horizontal Tail Area?S - Reference Area?C_L - Lift Coefficient?CW_lift - Wing Lift Coefficient?CT_lift - Tail Lift Coefficient?η - Tail Efficiency?

Tail area for given tail efficiency Example

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Here is how the Tail area for given tail efficiency equation looks like with Values.

Here is how the Tail area for given tail efficiency equation looks like with Units.

Here is how the Tail area for given tail efficiency equation looks like.

1.8038 = 5.08 \cdot \frac{1.108 - 1.01}{0.3 \cdot 0.92}

1.8038m² = 5.08m² \cdot \frac{1.108 - 1.01}{0.3 \cdot 0.92}

1.8038 = 5.08 \cdot \frac{1.108 - 1.01}{0.3 \cdot 0.92}

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Tail area for given tail efficiency Solution

Follow our step by step solution on how to calculate Tail area for given tail efficiency?

FIRST Step Consider the formula

S t = S \cdot \frac{C L - CW lift}{CT lift \cdot η}

Next Step Substitute values of Variables

∴

S t = 5.08m² \cdot \frac{1.108 - 1.01}{0.3 \cdot 0.92}

Next Step Prepare to Evaluate

∴

S t = 5.08 \cdot \frac{1.108 - 1.01}{0.3 \cdot 0.92}

Next Step Evaluate

∴

S t = 1.80376811594203m²

LAST Step Rounding Answer

∴

S t = 1.8038m²

Tail area for given tail efficiency 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

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

Lift Coefficient

The Lift Coefficient is a dimensionless coefficient that relates the lift generated by a lifting body to the fluid density around the body, the fluid velocity and an associated reference area.

Symbol: C_L

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Lift Coefficient

Wing Lift Coefficient

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

Symbol: CW_lift

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Wing Lift Coefficient

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

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

Other formulas in Wing Tail Contribution category

Go Angle of Attack at Tail

α t = α w - 𝒊 w - ε + 𝒊 t

Go Angle of Attack of Wing

α w = α t + 𝒊 w + ε - 𝒊 t

Go Angle of incidence of wing

𝒊 w = α w - α t - ε + 𝒊 t

Go Downwash angle

ε = α w - 𝒊 w - α t + 𝒊 t

How to Evaluate Tail area for given tail efficiency?

Tail area for given tail efficiency evaluator uses Horizontal Tail Area = Reference Area*(Lift Coefficient-Wing Lift Coefficient)/(Tail Lift Coefficient*Tail Efficiency) to evaluate the Horizontal Tail Area, Tail Area for given Tail Efficiency is a measure of the horizontal tail area required to maintain stability, calculated by dividing the product of the reference area and the difference between the lift coefficient and the wing's lift coefficient by the product of the tail's lift coefficient and tail efficiency. Horizontal Tail Area is denoted by S_t symbol.

How to evaluate Tail area for given tail efficiency using this online evaluator? To use this online evaluator for Tail area for given tail efficiency, enter Reference Area (S), Lift Coefficient (C_L), Wing Lift Coefficient (CW_lift), Tail Lift Coefficient (CT_lift) & Tail Efficiency (η) and hit the calculate button.

FAQs on Tail area for given tail efficiency

What is the formula to find Tail area for given tail efficiency?

The formula of Tail area for given tail efficiency is expressed as Horizontal Tail Area = Reference Area*(Lift Coefficient-Wing Lift Coefficient)/(Tail Lift Coefficient*Tail Efficiency). Here is an example- 1.803768 = 5.08*(1.108-1.01)/(0.3*0.92).

How to calculate Tail area for given tail efficiency?

With Reference Area (S), Lift Coefficient (C_L), Wing Lift Coefficient (CW_lift), Tail Lift Coefficient (CT_lift) & Tail Efficiency (η) we can find Tail area for given tail efficiency using the formula - Horizontal Tail Area = Reference Area*(Lift Coefficient-Wing Lift Coefficient)/(Tail Lift Coefficient*Tail Efficiency).

Can the Tail area for given tail efficiency be negative?

No, the Tail area for given tail efficiency, measured in Area cannot be negative.

Which unit is used to measure Tail area for given tail efficiency?

Tail area for given tail efficiency 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 efficiency can be measured.

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Tail area for given tail efficiency Formula

Tail area for given tail efficiency Example

Tail area for given tail efficiency Solution

Tail area for given tail efficiency Formula Elements

Other formulas in Wing Tail Contribution category

How to Evaluate Tail area for given tail efficiency?

FAQs on Tail area for given tail efficiency

Variable Name