Gearing ratio for given stick force Calculator

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Static Stability and Control

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Stick Forces and Hinge Moments

✖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 is the moment acting on a control surface that the pilot must overcome by exerting a force on the control stick.ⓘ Hinge Moment [𝑯_𝒆]			+10% -10%

✖Gearing ratio is a measure of the mechanical advantage provided by the control system of an aircraft.ⓘ Gearing ratio for given stick force [𝑮]

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Formula

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Gearing ratio for given stick force

Formula

`"𝑮" = "𝙁"/"𝑯"_{"𝒆"}`

Example

`"0.93m⁻¹"="23.25N"/"25N*m"`

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Gearing ratio for given stick force Solution

STEP 0: Pre-Calculation Summary

Formula Used

Gearing Ratio = Stick Force/Hinge Moment
𝑮 = 𝙁/𝑯_𝒆
This formula uses 3 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 - (Measured in Newton Meter) - Hinge moment is the moment acting on a control surface that the pilot must overcome by exerting a force on the control stick.

STEP 1: Convert Input(s) to Base Unit

Stick Force: 23.25 Newton --> 23.25 Newton No Conversion Required
Hinge Moment: 25 Newton Meter --> 25 Newton Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

𝑮 = 𝙁/𝑯_𝒆 --> 23.25/25

Evaluating ... ...

𝑮 = 0.93

STEP 3: Convert Result to Output's Unit

0.93 1 per Meter --> No Conversion Required

FINAL ANSWER

0.93 1 per Meter <-- Gearing Ratio

(Calculation completed in 00.004 seconds)

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Created by Vinay Mishra

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

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Verified by Shikha Maurya

Indian Institute of Technology (IIT), Bombay

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< 23 Stick Forces and Hinge Moments Calculators

Flight velocity for given stick force

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

Gearing Ratio given Hinge Moment Coefficient

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

Hinge Moment Coefficient given Stick Force

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

Elevator Chord Length given Stick Force

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

Elevator Area given Stick Force

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

Elevator Stick Force Given Hinge Moment Coefficient

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

Flight Velocity given Elevator Hinge Moment Coefficient

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

Elevator Chord Length given Hinge Moment Coefficient

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

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

Stick deflection angle for given stick force

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

Stick length for given stick force

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

Elevator Stick Force

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

Elevator deflection angle for given stick force

Go Elevator Deflection Angle = Stick Force*Stick Length*Stick Deflection Angle/Hinge Moment

Hinge moment for given stick force

Go Hinge Moment = Stick Force*Stick Length*Stick Deflection Angle/Elevator Deflection Angle

Stick deflection angle for given gearing ratio

Go Stick Deflection Angle = Elevator Deflection Angle/(Stick Length*Gearing Ratio)

Control stick length for given gearing ratio

Go Stick Length = Elevator Deflection Angle/(Gearing Ratio*Stick Deflection Angle)

Gearing ratio

Go Gearing Ratio = Elevator Deflection Angle/(Stick Length*Stick Deflection Angle)

Elevator Deflection Angle given Gearing Ratio

Go Elevator Deflection Angle = Gearing Ratio*Stick Length*Stick Deflection Angle

Elevator Stick Force given Gearing Ratio

Go Stick Force = Gearing Ratio*Hinge Moment

Hinge moment for given gearing ratio

Go Hinge Moment = Stick Force/Gearing Ratio

Gearing ratio for given stick force

Go Gearing Ratio = Stick Force/Hinge Moment

Gearing ratio for given stick force Formula

Gearing Ratio = Stick Force/Hinge Moment
𝑮 = 𝙁/𝑯_𝒆

What is neutral point in aircraft?

The neutral point is defined, in the pitch plane, as that point on the longitudinal axis of the configuration where the pitching moment does not vary with angle of attack.

How to Calculate Gearing ratio for given stick force?

Gearing ratio for given stick force calculator uses Gearing Ratio = Stick Force/Hinge Moment to calculate the Gearing Ratio, The Gearing ratio for given stick force is the ratio of stick force and hinge moment of the control surface. Gearing Ratio is denoted by 𝑮 symbol.

How to calculate Gearing ratio for given stick force using this online calculator? To use this online calculator for Gearing ratio for given stick force, enter Stick Force (𝙁) & Hinge Moment (𝑯_𝒆) and hit the calculate button. Here is how the Gearing ratio for given stick force calculation can be explained with given input values -> 0.92 = 23.25/25.

FAQ

What is Gearing ratio for given stick force?

The Gearing ratio for given stick force is the ratio of stick force and hinge moment of the control surface and is represented as 𝑮 = 𝙁/𝑯_𝒆 or Gearing Ratio = Stick Force/Hinge Moment. Stick Force is the force exerted on the control column by the pilot of an airplane in flight & Hinge moment is the moment acting on a control surface that the pilot must overcome by exerting a force on the control stick.

How to calculate Gearing ratio for given stick force?

The Gearing ratio for given stick force is the ratio of stick force and hinge moment of the control surface is calculated using Gearing Ratio = Stick Force/Hinge Moment. To calculate Gearing ratio for given stick force, you need Stick Force (𝙁) & Hinge Moment (𝑯_𝒆). With our tool, you need to enter the respective value for Stick Force & Hinge Moment 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. We can use 2 other way(s) to calculate the same, which is/are as follows -

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)

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