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Hinge Moment Coefficient given Stick Force Formula

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GoElevator Hinge moment coefficient 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{𝙁}{𝑮 \cdot 0.5 \cdot ρ \cdot V^{2} \cdot c e \cdot S e}

Ch_e - Hinge Moment Coefficient?𝙁 - Stick Force?𝑮 - Gearing Ratio?ρ - Density?V - Flight Velocity?c_e - Elevator Chord?S_e - Elevator Area?

Hinge Moment Coefficient given Stick Force Example

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

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

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

0.77 = \frac{23.2558}{0.9302 \cdot 0.5 \cdot 1.225 \cdot 60^{2} \cdot 0.6 \cdot 0.0245}

0.77 = \frac{23.2558N}{0.9302m⁻¹ \cdot 0.5 \cdot 1.225kg/m³ \cdot {60m/s}^{2} \cdot 0.6m \cdot 0.0245m²}

0.77 = \frac{23.2558}{0.9302 \cdot 0.5 \cdot 1.225 \cdot 60^{2} \cdot 0.6 \cdot 0.0245}

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Hinge Moment Coefficient given Stick Force Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

Ch e = \frac{23.2558N}{0.9302m⁻¹ \cdot 0.5 \cdot 1.225kg/m³ \cdot {60m/s}^{2} \cdot 0.6m \cdot 0.0245m²}

Next Step Prepare to Evaluate

∴

Ch e = \frac{23.2558}{0.9302 \cdot 0.5 \cdot 1.225 \cdot 60^{2} \cdot 0.6 \cdot 0.0245}

Next Step Evaluate

∴

Ch e = 0.770025887517246

LAST Step Rounding Answer

∴

Ch e = 0.77

Hinge Moment Coefficient given Stick Force 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

Open Variable

Stick Force

Stick Force is the force exerted on the control column by the pilot of an airplane in flight.

Symbol: 𝙁

Measurement: ForceUnit: N

Note: Value should be greater than 0.

Formulas to find Stick Force

Open Variable

Gearing Ratio

Gearing Ratio is a measure of the mechanical advantage provided by the control system of an aircraft.

Symbol: 𝑮

Measurement: Reciprocal LengthUnit: m⁻¹

Note: Value should be greater than 0.

Formulas to find Gearing Ratio

Open Variable

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

Open Variable

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

Open Variable

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

Open Variable

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

Open Variable

Other Formulas to find Hinge Moment Coefficient

Go Elevator Hinge moment coefficient

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

See More

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How to Evaluate Hinge Moment Coefficient given Stick Force?

Hinge Moment Coefficient given Stick Force evaluator uses Hinge Moment Coefficient = Stick Force/(Gearing Ratio*0.5*Density*Flight Velocity^2*Elevator Chord*Elevator Area) to evaluate the Hinge Moment Coefficient, Hinge Moment Coefficient given Stick Force Formula is a measure of the rotational force required to rotate an object around a fixed axis, calculated by dividing the stick force by the product of the gearing ratio, density, velocity, elevator chord, and elevator area, providing a critical value for aerodynamic stability and control in aircraft design. Hinge Moment Coefficient is denoted by Ch_e symbol.

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

FAQs on Hinge Moment Coefficient given Stick Force

What is the formula to find Hinge Moment Coefficient given Stick Force?

The formula of Hinge Moment Coefficient given Stick Force is expressed as Hinge Moment Coefficient = Stick Force/(Gearing Ratio*0.5*Density*Flight Velocity^2*Elevator Chord*Elevator Area). Here is an example- 0.770026 = 23.25581/(0.930233*0.5*1.225*60^2*0.6*0.02454).

How to calculate Hinge Moment Coefficient given Stick Force?

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

What are the other ways to Calculate Hinge Moment Coefficient?

Here are the different ways to Calculate Hinge Moment Coefficient-

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

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