FormulaDen.com

Physics Chemistry Math Chemical Engineering Civil Electrical Electronics Electronics and Instrumentation Materials Science Mechanical Production Engineering Financial Health

Gearing Ratio given Hinge Moment Coefficient Formula

GoGearing Ratio for given Stick Force Formula

GoGearing Ratio Formula

Fx Copy

LaTeX Copy

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

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

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

Gearing Ratio given Hinge Moment Coefficient Example

With values

With units

Only example

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

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

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

0.9298 = \frac{23.2558}{0.7704 \cdot 0.5 \cdot 1.225 \cdot 60^{2} \cdot 0.0245 \cdot 0.6}

0.9298m⁻¹ = \frac{23.2558N}{0.7704 \cdot 0.5 \cdot 1.225kg/m³ \cdot {60m/s}^{2} \cdot 0.0245m² \cdot 0.6m}

0.9298 = \frac{23.2558}{0.7704 \cdot 0.5 \cdot 1.225 \cdot 60^{2} \cdot 0.0245 \cdot 0.6}

Tip: Use pencil ( Pencil

) icon above to edit Input Values and Units.

Calculate

Recalculate

Solution

Copy

Reset

You are here -

Home » Category

Physics » Category

Aerospace » Category

Aircraft Mechanics » fx Gearing Ratio given Hinge Moment Coefficient

Gearing Ratio given Hinge Moment Coefficient Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

𝑮 = \frac{23.2558N}{0.7704 \cdot 0.5 \cdot 1.225kg/m³ \cdot {60m/s}^{2} \cdot 0.0245m² \cdot 0.6m}

Next Step Prepare to Evaluate

∴

𝑮 = \frac{23.2558}{0.7704 \cdot 0.5 \cdot 1.225 \cdot 60^{2} \cdot 0.0245 \cdot 0.6}

Next Step Evaluate

∴

𝑮 = 0.929831963090966m⁻¹

LAST Step Rounding Answer

∴

𝑮 = 0.9298m⁻¹

Gearing Ratio given Hinge Moment Coefficient 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 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 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

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

Other Formulas to find Gearing Ratio

Go Gearing Ratio for given Stick Force

𝑮 = \frac{𝙁}{𝑯 𝒆}

Go Gearing Ratio

𝑮 = \frac{δ e}{𝒍 s \cdot δ s}

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 Gearing Ratio given Hinge Moment Coefficient?

Gearing Ratio given Hinge Moment Coefficient evaluator uses Gearing Ratio = Stick Force/(Hinge Moment Coefficient*0.5*Density*Flight Velocity^2*Elevator Area*Elevator Chord) to evaluate the Gearing Ratio, Gearing Ratio given Hinge Moment Coefficient is a dimensionless quantity that relates the stick force required to control the longitudinal axis of an aircraft to the hinge moment coefficient, air density, velocity, and geometric characteristics of the elevator, providing a critical parameter for aircraft designers and pilots to ensure stable and controlled flight operations. Gearing Ratio is denoted by 𝑮 symbol.

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

FAQs on Gearing Ratio given Hinge Moment Coefficient

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

The formula of Gearing Ratio given Hinge Moment Coefficient is expressed as Gearing Ratio = Stick Force/(Hinge Moment Coefficient*0.5*Density*Flight Velocity^2*Elevator Area*Elevator Chord). Here is an example- 0.930264 = 23.25581/(0.770358*0.5*1.225*60^2*0.02454*0.6).

How to calculate Gearing Ratio given Hinge Moment Coefficient?

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

What are the other ways to Calculate Gearing Ratio?

Here are the different ways to Calculate Gearing Ratio-

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

Can the Gearing Ratio given Hinge Moment Coefficient be negative?

No, the Gearing Ratio given Hinge Moment Coefficient, measured in Reciprocal Length cannot be negative.

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

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

Let Others Know

✖

Facebook

Twitter

Copied!

: Value
: Unit

Gearing Ratio given Hinge Moment Coefficient Formula

​GoGearing Ratio for given Stick Force Formula

​GoGearing Ratio Formula

Gearing Ratio given Hinge Moment Coefficient Example

Gearing Ratio given Hinge Moment Coefficient Solution

Gearing Ratio given Hinge Moment Coefficient Formula Elements

Other Formulas to find Gearing Ratio

Other formulas in Stick Forces and Hinge Moments category

How to Evaluate Gearing Ratio given Hinge Moment Coefficient?

FAQs on Gearing Ratio given Hinge Moment Coefficient

Variable Name

GoGearing Ratio for given Stick Force Formula

GoGearing Ratio Formula