Hinge moment for given gearing ratio Solution

STEP 0: Pre-Calculation Summary
Formula Used
Hinge Moment = Stick Force/Gearing Ratio
๐‘ฏ๐’† = ๐™/๐‘ฎ
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: 23.25 Newton --> 23.25 Newton No Conversion Required
Gearing Ratio: 0.93 1 per Meter --> 0.93 1 per Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
๐‘ฏ๐’† = ๐™/๐‘ฎ --> 23.25/0.93
Evaluating ... ...
๐‘ฏ๐’† = 25
STEP 3: Convert Result to Output's Unit
25 Newton Meter --> No Conversion Required
FINAL ANSWER
25 Newton Meter <-- Hinge Moment
(Calculation completed in 00.004 seconds)

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!

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

Hinge moment for given gearing ratio Formula

Hinge Moment = Stick Force/Gearing Ratio
๐‘ฏ๐’† = ๐™/๐‘ฎ

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, The Hinge moment for given gearing ratio is the ratio of applied stick force to gearing ratio of the control system. Hinge Moment is denoted by ๐‘ฏ๐’† 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 (๐™) & Gearing Ratio (๐‘ฎ) and hit the calculate button. Here is how the Hinge moment for given gearing ratio calculation can be explained with given input values -> 24.73118 = 23.25/0.93.

FAQ

What is Hinge moment for given gearing ratio?
The Hinge moment for given gearing ratio is the ratio of applied stick force to gearing ratio of the control system and is represented as ๐‘ฏ๐’† = ๐™/๐‘ฎ 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?
The Hinge moment for given gearing ratio is the ratio of applied stick force to gearing ratio of the control system is calculated using Hinge Moment = Stick Force/Gearing Ratio. To calculate Hinge moment for given gearing ratio, you need Stick Force (๐™) & Gearing Ratio (๐‘ฎ). 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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