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Elevator Area given Hinge Moment Coefficient Formula

GoElevator Area given Stick Force Formula

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The Elevator Area is the area of the control surface responsible for providing pitching motion to an aircraft. Check FAQs

S e = \frac{𝑯 𝒆}{Ch e \cdot 0.5 \cdot ρ \cdot V^{2} \cdot c e}

S_e - Elevator Area?𝑯_𝒆 - Hinge Moment?Ch_e - Hinge Moment Coefficient?ρ - Density?V - Flight Velocity?c_e - Elevator Chord?

Elevator Area given Hinge Moment Coefficient Example

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Here is how the Elevator Area given Hinge Moment Coefficient equation looks like with Values.

Here is how the Elevator Area given Hinge Moment Coefficient equation looks like with Units.

Here is how the Elevator Area given Hinge Moment Coefficient equation looks like.

0.0245 = \frac{25}{0.7704 \cdot 0.5 \cdot 1.225 \cdot 60^{2} \cdot 0.6}

0.0245m² = \frac{25N*m}{0.7704 \cdot 0.5 \cdot 1.225kg/m³ \cdot {60m/s}^{2} \cdot 0.6m}

0.0245 = \frac{25}{0.7704 \cdot 0.5 \cdot 1.225 \cdot 60^{2} \cdot 0.6}

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Elevator Area given Hinge Moment Coefficient Solution

Follow our step by step solution on how to calculate Elevator Area given Hinge Moment Coefficient?

FIRST Step Consider the formula

S e = \frac{𝑯 𝒆}{Ch e \cdot 0.5 \cdot ρ \cdot V^{2} \cdot c e}

Next Step Substitute values of Variables

∴

S e = \frac{25N*m}{0.7704 \cdot 0.5 \cdot 1.225kg/m³ \cdot {60m/s}^{2} \cdot 0.6m}

Next Step Prepare to Evaluate

∴

S e = \frac{25}{0.7704 \cdot 0.5 \cdot 1.225 \cdot 60^{2} \cdot 0.6}

Next Step Evaluate

∴

S e = 0.0245294362723254m²

LAST Step Rounding Answer

∴

S e = 0.0245m²

Elevator Area given Hinge Moment Coefficient Formula Elements

Variables

Elevator Area

The Elevator Area is the area of the control surface responsible for providing pitching motion to an aircraft.

Symbol: S_e

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Elevator Area

Hinge Moment

Hinge Moment is the moment acting on a control surface that the pilot must overcome by exerting a force on the control stick.

Symbol: 𝑯_𝒆

Measurement: Moment of ForceUnit: N*m

Note: Value can be positive or negative.

Formulas to find Hinge Moment

Hinge Moment Coefficient

Hinge Moment Coefficient is the coefficient associated with the hinge moment of the control surface of an aircraft.

Symbol: Ch_e

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Hinge Moment Coefficient

Density

Density of flow refers to the mass per unit volume of a fluid through which aircraft is moving.

Symbol: ρ

Measurement: DensityUnit: kg/m³

Note: Value should be greater than 0.

Formulas to find Density

Flight Velocity

Flight Velocity refers to the speed at which an aircraft moves through the air.

Symbol: V

Measurement: SpeedUnit: m/s

Note: Value should be greater than 0.

Formulas to find Flight Velocity

Elevator Chord

Elevator Chord is the chord length of an elevator measured from its hinge line to trailing edge.

Symbol: c_e

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Elevator Chord

Other Formulas to find Elevator Area

Go Elevator Area given Stick Force

S e = \frac{𝙁}{𝑮 \cdot Ch e \cdot 0.5 \cdot ρ \cdot V^{2} \cdot c e}

Other formulas in Stick Forces and Hinge Moments category

Go Elevator Hinge moment coefficient

Ch e = \frac{𝑯 𝒆}{0.5 \cdot ρ \cdot V^{2} \cdot S e \cdot c e}

Go Elevator Hinge Moment given Hinge Moment Coefficient

𝑯 𝒆 = Ch e \cdot 0.5 \cdot ρ \cdot V^{2} \cdot S e \cdot c e

Go Flight Velocity given Elevator Hinge Moment Coefficient

V = \sqrt{\frac{𝑯 𝒆}{Ch e \cdot 0.5 \cdot ρ \cdot S e \cdot c e}}

Go Elevator Chord Length given Hinge Moment Coefficient

c e = \frac{𝑯 𝒆}{Ch e \cdot 0.5 \cdot ρ \cdot V^{2} \cdot S e}

How to Evaluate Elevator Area given Hinge Moment Coefficient?

Elevator Area given Hinge Moment Coefficient evaluator uses Elevator Area = Hinge Moment/(Hinge Moment Coefficient*0.5*Density*Flight Velocity^2*Elevator Chord) to evaluate the Elevator Area, Elevator Area given Hinge Moment Coefficient is a measure that calculates the elevator area, which is essential in aerodynamics, by utilizing the hinge moment coefficient, density, velocity, and elevator chord length, to determine the effective surface area of an elevator, influencing the aircraft's stability and control during flight. Elevator Area is denoted by S_e symbol.

How to evaluate Elevator Area given Hinge Moment Coefficient using this online evaluator? To use this online evaluator for Elevator Area given Hinge Moment Coefficient, enter Hinge Moment (𝑯_𝒆), Hinge Moment Coefficient (Ch_e), Density (ρ), Flight Velocity (V) & Elevator Chord (c_e) and hit the calculate button.

FAQs on Elevator Area given Hinge Moment Coefficient

What is the formula to find Elevator Area given Hinge Moment Coefficient?

The formula of Elevator Area given Hinge Moment Coefficient is expressed as Elevator Area = Hinge Moment/(Hinge Moment Coefficient*0.5*Density*Flight Velocity^2*Elevator Chord). Here is an example- 0.024541 = 25/(0.770358*0.5*1.225*60^2*0.6).

How to calculate Elevator Area given Hinge Moment Coefficient?

With Hinge Moment (𝑯_𝒆), Hinge Moment Coefficient (Ch_e), Density (ρ), Flight Velocity (V) & Elevator Chord (c_e) we can find Elevator Area given Hinge Moment Coefficient using the formula - Elevator Area = Hinge Moment/(Hinge Moment Coefficient*0.5*Density*Flight Velocity^2*Elevator Chord).

What are the other ways to Calculate Elevator Area?

Here are the different ways to Calculate Elevator Area-

Elevator Area=Stick Force/(Gearing Ratio*Hinge Moment Coefficient*0.5*Density*Flight Velocity^2*Elevator Chord)

Can the Elevator Area given Hinge Moment Coefficient be negative?

No, the Elevator Area given Hinge Moment Coefficient, measured in Area cannot be negative.

Which unit is used to measure Elevator Area given Hinge Moment Coefficient?

Elevator Area given Hinge 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 Elevator Area given Hinge Moment Coefficient can be measured.

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Elevator Area given Hinge Moment Coefficient Formula

​GoElevator Area given Stick Force Formula

Elevator Area given Hinge Moment Coefficient Example

Elevator Area given Hinge Moment Coefficient Solution

Elevator Area given Hinge Moment Coefficient Formula Elements

Other Formulas to find Elevator Area

Other formulas in Stick Forces and Hinge Moments category

How to Evaluate Elevator Area given Hinge Moment Coefficient?

FAQs on Elevator Area given Hinge Moment Coefficient

Variable Name

GoElevator Area given Stick Force Formula