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Hinge Moment for given Gearing Ratio Formula

GoElevator Hinge Moment given Hinge Moment Coefficient Formula

GoHinge Moment for given Stick Force 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 = \frac{𝙁}{𝑮}

𝑯_𝒆 - Hinge Moment?𝙁 - Stick Force?𝑮 - Gearing Ratio?

Hinge Moment for given Gearing Ratio Example

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Here is how the Hinge Moment for given Gearing Ratio equation looks like with Values.

Here is how the Hinge Moment for given Gearing Ratio equation looks like with Units.

Here is how the Hinge Moment for given Gearing Ratio equation looks like.

25 = \frac{23.2558}{0.9302}

25N*m = \frac{23.2558N}{0.9302m⁻¹}

25 = \frac{23.2558}{0.9302}

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Hinge Moment for given Gearing Ratio Solution

Follow our step by step solution on how to calculate Hinge Moment for given Gearing Ratio?

FIRST Step Consider the formula

𝑯 𝒆 = \frac{𝙁}{𝑮}

Next Step Substitute values of Variables

∴

𝑯 𝒆 = \frac{23.2558N}{0.9302m⁻¹}

Next Step Prepare to Evaluate

∴

𝑯 𝒆 = \frac{23.2558}{0.9302}

Next Step Evaluate

∴

𝑯 𝒆 = 24.9999838750077N*m

LAST Step Rounding Answer

∴

𝑯 𝒆 = 25N*m

Hinge Moment for given Gearing Ratio 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

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

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 Stick Force

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

Hinge Moment for given Gearing Ratio evaluator uses Hinge Moment = Stick Force/Gearing Ratio to evaluate the Hinge Moment, Hinge Moment for Given Gearing Ratio is a measure of the rotational force required to overcome resistance in a mechanical system, calculated by dividing the stick force by the gearing ratio. Hinge Moment is denoted by 𝑯_𝒆 symbol.

How to evaluate Hinge Moment for given Gearing Ratio using this online evaluator? To use this online evaluator for Hinge Moment for given Gearing Ratio, enter Stick Force (𝙁) & Gearing Ratio (𝑮) and hit the calculate button.

FAQs on Hinge Moment for given Gearing Ratio

What is the formula to find Hinge Moment for given Gearing Ratio?

The formula of Hinge Moment for given Gearing Ratio is expressed as Hinge Moment = Stick Force/Gearing Ratio. Here is an example- 25.00625 = 23.25581/0.930233.

How to calculate Hinge Moment for given Gearing Ratio?

With Stick Force (𝙁) & Gearing Ratio (𝑮) we can find Hinge Moment for given Gearing Ratio using the formula - Hinge Moment = Stick Force/Gearing Ratio.

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*Stick Length*Stick Deflection Angle/Elevator Deflection Angle

Can the Hinge Moment for given Gearing Ratio be negative?

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

Which unit is used to measure Hinge Moment for given Gearing Ratio?

Hinge Moment for given Gearing Ratio 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 Gearing Ratio can be measured.

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