Hinge Moment for given Gearing Ratio Calculator

✖Stick Force is the force exerted on the control column by the pilot of an airplane in flight.ⓘ Stick Force [𝙁]			+10% -10%
✖Gearing Ratio is a measure of the mechanical advantage provided by the control system of an aircraft.ⓘ Gearing Ratio [𝑮]			+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 for given Gearing Ratio [𝑯_𝒆]

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Hinge Moment for given Gearing Ratio Solution

STEP 0: Pre-Calculation Summary

Formula Used

Hinge Moment = Stick Force/Gearing Ratio
𝑯_𝒆 = 𝙁/𝑮
This formula uses 3 Variables

Variables Used

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.
Stick Force - (Measured in Newton) - Stick Force is the force exerted on the control column by the pilot of an airplane in flight.
Gearing Ratio - (Measured in 1 per Meter) - Gearing Ratio is a measure of the mechanical advantage provided by the control system of an aircraft.

STEP 1: Convert Input(s) to Base Unit

Stick Force: 23.25581 Newton --> 23.25581 Newton No Conversion Required
Gearing Ratio: 0.930233 1 per Meter --> 0.930233 1 per Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

𝑯_𝒆 = 𝙁/𝑮 --> 23.25581/0.930233

Evaluating ... ...

𝑯_𝒆 = 24.9999838750077

STEP 3: Convert Result to Output's Unit

24.9999838750077 Newton Meter --> No Conversion Required

FINAL ANSWER

24.9999838750077 ≈ 24.99998 Newton Meter <-- Hinge Moment

(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 » Hinge Moment for given Gearing Ratio

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 Maiarutselvan V

PSG College of Technology (PSGCT), Coimbatore

Maiarutselvan V has verified this Calculator and 300+ 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

Hinge Moment for given Gearing Ratio Formula

LaTeX Go

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

What is the use of neutral point?

The use of the neutral point is limited to static stability considerations. If the neutral point is aft of the e.g., the configuration is statically stable.

How to Calculate Hinge Moment for given Gearing Ratio?

Hinge Moment for given Gearing Ratio calculator uses Hinge Moment = Stick Force/Gearing Ratio to calculate the Hinge Moment, Hinge Moment for Given Gearing Ratio is a measure of the rotational force required to overcome resistance in a mechanical system, calculated by dividing the stick force by the gearing ratio. Hinge Moment is denoted by 𝑯_𝒆 symbol.

How to calculate Hinge Moment for given Gearing Ratio using this online calculator? To use this online calculator for Hinge Moment for given Gearing Ratio, enter Stick Force (𝙁) & Gearing Ratio (𝑮) and hit the calculate button. Here is how the Hinge Moment for given Gearing Ratio calculation can be explained with given input values -> 25.00625 = 23.25581/0.930233.

FAQ

What is Hinge Moment for given Gearing Ratio?

Hinge Moment for Given Gearing Ratio is a measure of the rotational force required to overcome resistance in a mechanical system, calculated by dividing the stick force by the gearing ratio and is represented as 𝑯_𝒆 = 𝙁/𝑮 or Hinge Moment = Stick Force/Gearing Ratio. Stick Force is the force exerted on the control column by the pilot of an airplane in flight & Gearing Ratio is a measure of the mechanical advantage provided by the control system of an aircraft.

How to calculate Hinge Moment for given Gearing Ratio?

Hinge Moment for Given Gearing Ratio is a measure of the rotational force required to overcome resistance in a mechanical system, calculated by dividing the stick force by the gearing ratio is calculated using Hinge Moment = Stick Force/Gearing Ratio. To calculate Hinge Moment for given Gearing Ratio, you need Stick Force (𝙁) & Gearing Ratio (𝑮). With our tool, you need to enter the respective value for Stick Force & Gearing Ratio 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 Hinge Moment?

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

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

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