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Hinge Moment for given Stick Force Formula

GoElevator Hinge Moment given Hinge Moment Coefficient 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 = 𝙁 \cdot 𝒍 s \cdot \frac{δ s}{δ e}

𝑯_𝒆 - Hinge Moment?𝙁 - Stick Force?𝒍_s - Stick Length?δ_s - Stick Deflection Angle?δ_e - Elevator Deflection Angle?

Hinge Moment for given Stick Force Example

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

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

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

25 = 23.2558 \cdot 0.215 \cdot \frac{0.5}{0.1}

25N*m = 23.2558N \cdot 0.215m \cdot \frac{0.5rad}{0.1rad}

25 = 23.2558 \cdot 0.215 \cdot \frac{0.5}{0.1}

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Hinge Moment for given Stick Force Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

𝑯 𝒆 = 23.2558N \cdot 0.215m \cdot \frac{0.5rad}{0.1rad}

Next Step Prepare to Evaluate

∴

𝑯 𝒆 = 23.2558 \cdot 0.215 \cdot \frac{0.5}{0.1}

Next Step Evaluate

∴

𝑯 𝒆 = 24.99999575N*m

LAST Step Rounding Answer

∴

𝑯 𝒆 = 25N*m

Hinge Moment for given Stick Force 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

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

Stick Length

Stick Length is the length of the control stick (to move the control surface) of an aircraft.

Symbol: 𝒍_s

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Stick Length

Stick Deflection Angle

Stick Deflection Angle is the angle made by the control stick (used to move control surface) of an aircraft with the vertical.

Symbol: δ_s

Measurement: AngleUnit: rad

Note: Value can be positive or negative.

Formulas to find Stick Deflection Angle

Elevator Deflection Angle

The Elevator Deflection Angle is the angle made by the elevator of an aircraft with the horizontal for an applied stick force.

Symbol: δ_e

Measurement: AngleUnit: rad

Note: Value can be positive or negative.

Formulas to find Elevator Deflection Angle

Other Formulas to find Hinge Moment

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 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 Hinge Moment for given Stick Force?

Hinge Moment for given Stick Force evaluator uses Hinge Moment = Stick Force*Stick Length*Stick Deflection Angle/Elevator Deflection Angle to evaluate the Hinge Moment, Hinge Moment for given Stick Force is a measure of the rotational force that occurs when a stick force is applied to a control stick, influenced by the length of the stick, the deflection angle of the stick, and the elevator deflection angle, and is essential in understanding the dynamics of an aircraft's control systems. Hinge Moment is denoted by 𝑯_𝒆 symbol.

How to evaluate Hinge Moment for given Stick Force using this online evaluator? To use this online evaluator for Hinge Moment for given Stick Force, enter Stick Force (𝙁), Stick Length (𝒍_s), Stick Deflection Angle (δ_s) & Elevator Deflection Angle (δ_e) and hit the calculate button.

FAQs on Hinge Moment for given Stick Force

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

The formula of Hinge Moment for given Stick Force is expressed as Hinge Moment = Stick Force*Stick Length*Stick Deflection Angle/Elevator Deflection Angle. Here is an example- 25.0045 = 23.25581*0.215*0.5/0.1.

How to calculate Hinge Moment for given Stick Force?

With Stick Force (𝙁), Stick Length (𝒍_s), Stick Deflection Angle (δ_s) & Elevator Deflection Angle (δ_e) we can find Hinge Moment for given Stick Force using the formula - Hinge Moment = Stick Force*Stick Length*Stick Deflection Angle/Elevator Deflection Angle.

What are the other ways to Calculate Hinge Moment?

Here are the different ways to Calculate Hinge Moment-

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

Can the Hinge Moment for given Stick Force be negative?

Yes, the Hinge Moment for given Stick Force, measured in Moment of Force can be negative.

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

Hinge Moment for given Stick Force 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 Hinge Moment for given Stick Force can be measured.

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: Value
: Unit

Hinge Moment for given Stick Force Formula

​GoElevator Hinge Moment given Hinge Moment Coefficient Formula

​GoHinge Moment for given Gearing Ratio Formula

Hinge Moment for given Stick Force Example

Hinge Moment for given Stick Force Solution

Hinge Moment for given Stick Force Formula Elements

Other Formulas to find Hinge Moment

Other formulas in Stick Forces and Hinge Moments category

How to Evaluate Hinge Moment for given Stick Force?

FAQs on Hinge Moment for given Stick Force

Variable Name

GoElevator Hinge Moment given Hinge Moment Coefficient Formula

GoHinge Moment for given Gearing Ratio Formula