Gearing Ratio given Hinge Moment Coefficient Calculator

✖Stick Force is the force exerted on the control column by the pilot of an airplane in flight.ⓘ Stick Force [𝙁]			+10% -10%
✖Hinge Moment Coefficient is the coefficient associated with the hinge moment of the control surface of an aircraft.ⓘ Hinge Moment Coefficient [Ch_e]			+10% -10%
✖Density of flow refers to the mass per unit volume of a fluid through which aircraft is moving.ⓘ Density [ρ]			+10% -10%
✖Flight Velocity refers to the speed at which an aircraft moves through the air.ⓘ Flight Velocity [V]			+10% -10%
✖The Elevator Area is the area of the control surface responsible for providing pitching motion to an aircraft.ⓘ Elevator Area [S_e]			+10% -10%
✖Elevator Chord is the chord length of an elevator measured from its hinge line to trailing edge.ⓘ Elevator Chord [c_e]			+10% -10%

✖Gearing Ratio is a measure of the mechanical advantage provided by the control system of an aircraft.ⓘ Gearing Ratio given Hinge Moment Coefficient [𝑮]

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Formula

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Gearing Ratio given Hinge Moment Coefficient

Formula

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

Example

0.929832 m⁻¹ = \frac{23.25581 N}{0.770358 \cdot 0.5 \cdot 1.225 kg/m³ \cdot {60 m/s}^{2} \cdot 0.02454 m² \cdot 0.6 m}

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Gearing Ratio given Hinge Moment Coefficient Solution

STEP 0: Pre-Calculation Summary

Formula Used

Gearing Ratio = Stick Force/(Hinge Moment Coefficient*0.5*Density*Flight Velocity^2*Elevator Area*Elevator Chord)
𝑮 = 𝙁/(Ch_e*0.5*ρ*V^2*S_e*c_e)
This formula uses 7 Variables

Variables Used

Gearing Ratio - (Measured in 1 per Meter) - Gearing Ratio is a measure of the mechanical advantage provided by the control system of an aircraft.
Stick Force - (Measured in Newton) - Stick Force is the force exerted on the control column by the pilot of an airplane in flight.
Hinge Moment Coefficient - Hinge Moment Coefficient is the coefficient associated with the hinge moment of the control surface of an aircraft.
Density - (Measured in Kilogram per Cubic Meter) - Density of flow refers to the mass per unit volume of a fluid through which aircraft is moving.
Flight Velocity - (Measured in Meter per Second) - Flight Velocity refers to the speed at which an aircraft moves through the air.
Elevator Area - (Measured in Square Meter) - The Elevator Area is the area of the control surface responsible for providing pitching motion to an aircraft.
Elevator Chord - (Measured in Meter) - Elevator Chord is the chord length of an elevator measured from its hinge line to trailing edge.

STEP 1: Convert Input(s) to Base Unit

Stick Force: 23.25581 Newton --> 23.25581 Newton No Conversion Required
Hinge Moment Coefficient: 0.770358 --> No Conversion Required
Density: 1.225 Kilogram per Cubic Meter --> 1.225 Kilogram per Cubic Meter No Conversion Required
Flight Velocity: 60 Meter per Second --> 60 Meter per Second No Conversion Required
Elevator Area: 0.02454 Square Meter --> 0.02454 Square Meter No Conversion Required
Elevator Chord: 0.6 Meter --> 0.6 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

𝑮 = 𝙁/(Ch_e*0.5*ρ*V^2*S_e*c_e) --> 23.25581/(0.770358*0.5*1.225*60^2*0.02454*0.6)

Evaluating ... ...

𝑮 = 0.929831963090966

STEP 3: Convert Result to Output's Unit

0.929831963090966 1 per Meter --> No Conversion Required

FINAL ANSWER

0.929831963090966 ≈ 0.929832 1 per Meter <-- Gearing Ratio

(Calculation completed in 00.004 seconds)

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Home » Physics » Aircraft Mechanics » Static Stability and Control » Longitudinal Control » Aerospace » Stick Forces and Hinge Moments » Gearing Ratio given Hinge Moment Coefficient

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Created by Vinay Mishra

Indian Institute for Aeronautical Engineering and Information Technology (IIAEIT), Pune

Vinay Mishra has created this Calculator and 300+ more calculators!

Verified by Maiarutselvan V

PSG College of Technology (PSGCT), Coimbatore

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< Stick Forces and Hinge Moments Calculators

Flight Velocity given Elevator Hinge Moment Coefficient

Go Flight Velocity = sqrt(Hinge Moment/(Hinge Moment Coefficient*0.5*Density*Elevator Area*Elevator Chord))

Elevator Area given Hinge Moment Coefficient

Go Elevator Area = Hinge Moment/(Hinge Moment Coefficient*0.5*Density*Flight Velocity^2*Elevator Chord)

Elevator Hinge moment coefficient

Go Hinge Moment Coefficient = Hinge Moment/(0.5*Density*Flight Velocity^2*Elevator Area*Elevator Chord)

Elevator Hinge Moment given Hinge Moment Coefficient

Go Hinge Moment = Hinge Moment Coefficient*0.5*Density*Flight Velocity^2*Elevator Area*Elevator Chord

Gearing Ratio given Hinge Moment Coefficient Formula

Gearing Ratio = Stick Force/(Hinge Moment Coefficient*0.5*Density*Flight Velocity^2*Elevator Area*Elevator Chord)
𝑮 = 𝙁/(Ch_e*0.5*ρ*V^2*S_e*c_e)

What is aircraft buffeting?

Buffeting is a vibration of the aircraft that may appear during maneuvers at cruising speed. Depending on the angle of attack, the flow may contain separations, which constitute an aerodynamic excitation.

How to Calculate Gearing Ratio given Hinge Moment Coefficient?

Gearing Ratio given Hinge Moment Coefficient calculator uses Gearing Ratio = Stick Force/(Hinge Moment Coefficient*0.5*Density*Flight Velocity^2*Elevator Area*Elevator Chord) to calculate 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 calculate Gearing Ratio given Hinge Moment Coefficient using this online calculator? To use this online calculator 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. Here is how the Gearing Ratio given Hinge Moment Coefficient calculation can be explained with given input values -> 0.930264 = 23.25581/(0.770358*0.5*1.225*60^2*0.02454*0.6).

FAQ

What is Gearing Ratio given Hinge Moment Coefficient?

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 and is represented as 𝑮 = 𝙁/(Ch_e*0.5*ρ*V^2*S_e*c_e) or Gearing Ratio = Stick Force/(Hinge Moment Coefficient*0.5*Density*Flight Velocity^2*Elevator Area*Elevator Chord). Stick Force is the force exerted on the control column by the pilot of an airplane in flight, Hinge Moment Coefficient is the coefficient associated with the hinge moment of the control surface of an aircraft, Density of flow refers to the mass per unit volume of a fluid through which aircraft is moving, Flight Velocity refers to the speed at which an aircraft moves through the air, The Elevator Area is the area of the control surface responsible for providing pitching motion to an aircraft & Elevator Chord is the chord length of an elevator measured from its hinge line to trailing edge.

How to calculate Gearing Ratio given Hinge Moment Coefficient?

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 is calculated using Gearing Ratio = Stick Force/(Hinge Moment Coefficient*0.5*Density*Flight Velocity^2*Elevator Area*Elevator Chord). To calculate Gearing Ratio given Hinge Moment Coefficient, you need Stick Force (𝙁), Hinge Moment Coefficient (Ch_e), Density (ρ), Flight Velocity (V), Elevator Area (S_e) & Elevator Chord (c_e). With our tool, you need to enter the respective value for Stick Force, Hinge Moment Coefficient, Density, Flight Velocity, Elevator Area & Elevator Chord and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Gearing Ratio?

In this formula, Gearing Ratio uses Stick Force, Hinge Moment Coefficient, Density, Flight Velocity, Elevator Area & Elevator Chord. We can use 2 other way(s) to calculate the same, which is/are as follows -

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

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