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Elevator Hinge Moment given Hinge Moment Coefficient Formula

GoHinge Moment for given Stick Force Formula

GoHinge Moment for given Gearing Ratio Formula

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

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

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

Elevator Hinge Moment given Hinge Moment Coefficient Example

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

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

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

25.0108 = 0.7704 \cdot 0.5 \cdot 1.225 \cdot 60^{2} \cdot 0.0245 \cdot 0.6

25.0108N*m = 0.7704 \cdot 0.5 \cdot 1.225kg/m³ \cdot {60m/s}^{2} \cdot 0.0245m² \cdot 0.6m

25.0108 = 0.7704 \cdot 0.5 \cdot 1.225 \cdot 60^{2} \cdot 0.0245 \cdot 0.6

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Elevator Hinge Moment given Hinge Moment Coefficient Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

𝑯 𝒆 = 0.7704 \cdot 0.5 \cdot 1.225kg/m³ \cdot {60m/s}^{2} \cdot 0.0245m² \cdot 0.6m

Next Step Prepare to Evaluate

∴

𝑯 𝒆 = 0.7704 \cdot 0.5 \cdot 1.225 \cdot 60^{2} \cdot 0.0245 \cdot 0.6

Next Step Evaluate

∴

𝑯 𝒆 = 25.01076637836N*m

LAST Step Rounding Answer

∴

𝑯 𝒆 = 25.0108N*m

Elevator Hinge Moment given Hinge Moment Coefficient Formula Elements

Variables

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 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

Go Hinge Moment for given Stick Force

𝑯 𝒆 = 𝙁 \cdot 𝒍 s \cdot \frac{δ s}{δ e}

Go Hinge Moment for given Gearing Ratio

𝑯 𝒆 = \frac{𝙁}{𝑮}

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 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 given Hinge Moment Coefficient?

Elevator Hinge Moment given Hinge Moment Coefficient evaluator uses Hinge Moment = Hinge Moment Coefficient*0.5*Density*Flight Velocity^2*Elevator Area*Elevator Chord to evaluate the Hinge Moment, Elevator Hinge Moment given Hinge Moment Coefficient is a calculation that determines the rotational force around a pivot point in an aircraft's elevator, taking into account the hinge moment coefficient, air density, velocity, elevator area, and chord length, to ensure stable flight control. Hinge Moment is denoted by 𝑯_𝒆 symbol.

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

FAQs on Elevator Hinge Moment given Hinge Moment Coefficient

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

The formula of Elevator Hinge Moment given Hinge Moment Coefficient is expressed as Hinge Moment = Hinge Moment Coefficient*0.5*Density*Flight Velocity^2*Elevator Area*Elevator Chord. Here is an example- 24.99914 = 0.770358*0.5*1.225*60^2*0.02454*0.6.

How to calculate Elevator Hinge Moment given Hinge Moment Coefficient?

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

What are the other ways to Calculate Hinge Moment?

Here are the different ways to Calculate Hinge Moment-

Hinge Moment=Stick Force*Stick Length*Stick Deflection Angle/Elevator Deflection Angle
Hinge Moment=Stick Force/Gearing Ratio

Can the Elevator Hinge Moment given Hinge Moment Coefficient be negative?

Yes, the Elevator Hinge Moment given Hinge Moment Coefficient, measured in Moment of Force can be negative.

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

Elevator Hinge Moment given Hinge Moment Coefficient is usually measured using the Newton Meter[N*m] for Moment of Force. Kilonewton Meter[N*m], Millinewton Meter[N*m], Micronewton Meter[N*m] are the few other units in which Elevator Hinge Moment given Hinge Moment Coefficient can be measured.

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: Value
: Unit

Elevator Hinge Moment given Hinge Moment Coefficient Formula

​GoHinge Moment for given Stick Force Formula

​GoHinge Moment for given Gearing Ratio Formula

Elevator Hinge Moment given Hinge Moment Coefficient Example

Elevator Hinge Moment given Hinge Moment Coefficient Solution

Elevator Hinge Moment given Hinge Moment Coefficient Formula Elements

Other Formulas to find Hinge Moment

Other formulas in Stick Forces and Hinge Moments category

How to Evaluate Elevator Hinge Moment given Hinge Moment Coefficient?

FAQs on Elevator Hinge Moment given Hinge Moment Coefficient

Variable Name

GoHinge Moment for given Stick Force Formula

GoHinge Moment for given Gearing Ratio Formula