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Elevator Stick Force given Hinge Moment Coefficient Formula

GoElevator Stick Force Formula

GoElevator Stick Force given Gearing Ratio Formula

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

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

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

Elevator Stick Force given Hinge Moment Coefficient Example

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

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

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

23.2658 = 0.9302 \cdot 0.7704 \cdot 0.5 \cdot 1.225 \cdot 60^{2} \cdot 0.6 \cdot 0.0245

23.2658N = 0.9302m⁻¹ \cdot 0.7704 \cdot 0.5 \cdot 1.225kg/m³ \cdot {60m/s}^{2} \cdot 0.6m \cdot 0.0245m²

23.2658 = 0.9302 \cdot 0.7704 \cdot 0.5 \cdot 1.225 \cdot 60^{2} \cdot 0.6 \cdot 0.0245

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Elevator Stick Force given Hinge Moment Coefficient Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

𝙁 = 0.9302m⁻¹ \cdot 0.7704 \cdot 0.5 \cdot 1.225kg/m³ \cdot {60m/s}^{2} \cdot 0.6m \cdot 0.0245m²

Next Step Prepare to Evaluate

∴

𝙁 = 0.9302 \cdot 0.7704 \cdot 0.5 \cdot 1.225 \cdot 60^{2} \cdot 0.6 \cdot 0.0245

Next Step Evaluate

∴

𝙁 = 23.265840240441N

LAST Step Rounding Answer

∴

𝙁 = 23.2658N

Elevator Stick Force given Hinge Moment Coefficient Formula Elements

Variables

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

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

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

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

Other Formulas to find Stick Force

Go Elevator Stick Force

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

Go Elevator Stick Force given Gearing Ratio

𝙁 = 𝑮 \cdot 𝑯 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

How to Evaluate Elevator Stick Force given Hinge Moment Coefficient?

Elevator Stick Force given Hinge Moment Coefficient evaluator uses Stick Force = Gearing Ratio*Hinge Moment Coefficient*0.5*Density*Flight Velocity^2*Elevator Chord*Elevator Area to evaluate the Stick Force, Elevator Stick Force given Hinge Moment Coefficient is a calculation that determines the stick force required to control an elevator's longitudinal motion, taking into account the gearing ratio, hinge moment coefficient, density, velocity, chord, and area of the elevator, this formula is essential in aircraft design to ensure proper control and stability of the elevator, a critical flight control surface. Stick Force is denoted by 𝙁 symbol.

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

FAQs on Elevator Stick Force given Hinge Moment Coefficient

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

The formula of Elevator Stick Force given Hinge Moment Coefficient is expressed as Stick Force = Gearing Ratio*Hinge Moment Coefficient*0.5*Density*Flight Velocity^2*Elevator Chord*Elevator Area. Here is an example- 23.25503 = 0.930233*0.770358*0.5*1.225*60^2*0.6*0.02454.

How to calculate Elevator Stick Force given Hinge Moment Coefficient?

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

What are the other ways to Calculate Stick Force?

Here are the different ways to Calculate Stick Force-

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

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

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

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

Elevator Stick Force given Hinge Moment Coefficient is usually measured using the Newton[N] for Force. Exanewton[N], Meganewton[N], Kilonewton[N] are the few other units in which Elevator Stick Force given Hinge Moment Coefficient can be measured.

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: Unit

Elevator Stick Force given Hinge Moment Coefficient Formula

​GoElevator Stick Force Formula

​GoElevator Stick Force given Gearing Ratio Formula

Elevator Stick Force given Hinge Moment Coefficient Example

Elevator Stick Force given Hinge Moment Coefficient Solution

Elevator Stick Force given Hinge Moment Coefficient Formula Elements

Other Formulas to find Stick Force

Other formulas in Stick Forces and Hinge Moments category

How to Evaluate Elevator Stick Force given Hinge Moment Coefficient?

FAQs on Elevator Stick Force given Hinge Moment Coefficient

Variable Name

GoElevator Stick Force Formula

GoElevator Stick Force given Gearing Ratio Formula