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Elevator Hinge moment coefficient Formula

GoHinge Moment Coefficient given Stick Force Formula

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

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

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

Elevator Hinge moment coefficient Example

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Here is how the Elevator Hinge moment coefficient equation looks like with Values.

Here is how the Elevator Hinge moment coefficient equation looks like with Units.

Here is how the Elevator Hinge moment coefficient equation looks like.

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

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

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

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Elevator Hinge moment coefficient Solution

Follow our step by step solution on how to calculate Elevator Hinge moment coefficient?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

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

Next Step Prepare to Evaluate

∴

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

Next Step Evaluate

∴

Ch e = 0.770026384184028

LAST Step Rounding Answer

∴

Ch e = 0.77

Elevator Hinge moment coefficient Formula Elements

Variables

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

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

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 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

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 Hinge Moment Coefficient

Go Hinge Moment Coefficient given Stick Force

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

Other formulas in Stick Forces and Hinge Moments category

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 Area given Hinge Moment Coefficient

S e = \frac{𝑯 𝒆}{Ch e \cdot 0.5 \cdot ρ \cdot V^{2} \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 Hinge moment coefficient?

Elevator Hinge moment coefficient evaluator uses Hinge Moment Coefficient = Hinge Moment/(0.5*Density*Flight Velocity^2*Elevator Area*Elevator Chord) to evaluate the Hinge Moment Coefficient, Elevator Hinge Moment Coefficient is a dimensionless parameter that characterizes the rotational movement of an elevator about its hinge, determined by the hinge moment, air density, velocity, elevator area and chord length. Hinge Moment Coefficient is denoted by Ch_e symbol.

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

FAQs on Elevator Hinge moment coefficient

What is the formula to find Elevator Hinge moment coefficient?

The formula of Elevator Hinge moment coefficient is expressed as Hinge Moment Coefficient = Hinge Moment/(0.5*Density*Flight Velocity^2*Elevator Area*Elevator Chord). Here is an example- 0.770026 = 25/(0.5*1.225*60^2*0.02454*0.6).

How to calculate Elevator Hinge moment coefficient?

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

What are the other ways to Calculate Hinge Moment Coefficient?

Here are the different ways to Calculate Hinge Moment Coefficient-

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

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Elevator Hinge moment coefficient Formula

​GoHinge Moment Coefficient given Stick Force Formula

Elevator Hinge moment coefficient Example

Elevator Hinge moment coefficient Solution

Elevator Hinge moment coefficient Formula Elements

Other Formulas to find Hinge Moment Coefficient

Other formulas in Stick Forces and Hinge Moments category

How to Evaluate Elevator Hinge moment coefficient?

FAQs on Elevator Hinge moment coefficient

Variable Name

GoHinge Moment Coefficient given Stick Force Formula