Gearing Ratio for given Stick Force 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 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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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: 23.25581 Newton --> 23.25581 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 --> 23.25581/25

Evaluating ... ...

𝑮 = 0.9302324

STEP 3: Convert Result to Output's Unit

0.9302324 1 per Meter --> No Conversion Required

FINAL ANSWER

0.9302324 ≈ 0.930232 1 per Meter <-- Gearing Ratio

(Calculation completed in 00.020 seconds)

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

Credits

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 Shikha Maurya

Indian Institute of Technology (IIT), Bombay

Shikha Maurya has verified this Calculator and 200+ more calculators!

< Stick Forces and Hinge Moments Calculators

Flight Velocity given Elevator Hinge Moment Coefficient

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

Elevator Area given Hinge Moment Coefficient

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

Elevator Hinge moment coefficient

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

Elevator Hinge Moment given Hinge Moment Coefficient

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

Gearing Ratio for given Stick Force Formula

LaTeX Go

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, 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 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 -> 0.930232 = 23.25581/25.

FAQ

What is Gearing Ratio for given Stick Force?

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 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?

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 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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