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Gearing Ratio for given Stick Force Formula

GoGearing Ratio Formula

GoGearing Ratio given Hinge Moment Coefficient Formula

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

𝑮 = \frac{𝙁}{𝑯 𝒆}

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

Gearing Ratio for given Stick Force Example

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Here is how the Gearing Ratio for given Stick Force equation looks like with Values.

Here is how the Gearing Ratio for given Stick Force equation looks like with Units.

Here is how the Gearing Ratio for given Stick Force equation looks like.

0.9302 = \frac{23.2558}{25}

0.9302m⁻¹ = \frac{23.2558N}{25N*m}

0.9302 = \frac{23.2558}{25}

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Gearing Ratio for given Stick Force Solution

Follow our step by step solution on how to calculate Gearing Ratio for given Stick Force?

FIRST Step Consider the formula

𝑮 = \frac{𝙁}{𝑯 𝒆}

Next Step Substitute values of Variables

∴

𝑮 = \frac{23.2558N}{25N*m}

Next Step Prepare to Evaluate

∴

𝑮 = \frac{23.2558}{25}

Next Step Evaluate

∴

𝑮 = 0.9302324m⁻¹

LAST Step Rounding Answer

∴

𝑮 = 0.9302m⁻¹

Gearing Ratio for given Stick Force Formula Elements

Variables

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

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

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

Other Formulas to find Gearing Ratio

Go Gearing Ratio

𝑮 = \frac{δ e}{𝒍 s \cdot δ s}

Go Gearing Ratio given Hinge Moment Coefficient

𝑮 = \frac{𝙁}{Ch e \cdot 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 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

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}

How to Evaluate Gearing Ratio for given Stick Force?

Gearing Ratio for given Stick Force evaluator uses Gearing Ratio = Stick Force/Hinge Moment to evaluate the Gearing Ratio, Gearing Ratio for given Stick Force is a measure that represents the relationship between the stick force and the hinge moment, providing insights into the mechanical advantage of a system. Gearing Ratio is denoted by 𝑮 symbol.

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

FAQs on Gearing Ratio for given Stick Force

What is the formula to find Gearing Ratio for given Stick Force?

The formula of Gearing Ratio for given Stick Force is expressed as Gearing Ratio = Stick Force/Hinge Moment. Here is an example- 0.930232 = 23.25581/25.

How to calculate Gearing Ratio for given Stick Force?

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

What are the other ways to Calculate Gearing Ratio?

Here are the different ways to Calculate Gearing Ratio-

Gearing Ratio=Elevator Deflection Angle/(Stick Length*Stick Deflection Angle)
Gearing Ratio=Stick Force/(Hinge Moment Coefficient*0.5*Density*Flight Velocity^2*Elevator Area*Elevator Chord)

Can the Gearing Ratio for given Stick Force be negative?

No, the Gearing Ratio for given Stick Force, measured in Reciprocal Length cannot be negative.

Which unit is used to measure Gearing Ratio for given Stick Force?

Gearing Ratio for given Stick Force is usually measured using the 1 per Meter[m⁻¹] for Reciprocal Length. 1 per Kilometer[m⁻¹], 1 per Mile[m⁻¹], 1 per Yard[m⁻¹] are the few other units in which Gearing Ratio for given Stick Force can be measured.

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