Elevator Deflection Angle given Gearing Ratio Solution

STEP 0: Pre-Calculation Summary
Formula Used
Elevator Deflection Angle = Gearing Ratio*Stick Length*Stick Deflection Angle
δe = 𝑮*𝒍s*δs
This formula uses 4 Variables
Variables Used
Elevator Deflection Angle - (Measured in Radian) - The elevator deflection angle is the angle made by the elevator of an aircraft with the horizontal for an applied stick force.
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 Length - (Measured in Meter) - Stick length is the length of the control stick (to move the control surface) of an aircraft.
Stick Deflection Angle - (Measured in Radian) - Stick deflection angle is the angle made by the control stick (used to move control surface) of an aircraft with the vertical.
STEP 1: Convert Input(s) to Base Unit
Gearing Ratio: 0.93 1 per Meter --> 0.93 1 per Meter No Conversion Required
Stick Length: 0.215 Meter --> 0.215 Meter No Conversion Required
Stick Deflection Angle: 0.5 Radian --> 0.5 Radian No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
δe = 𝑮*𝒍ss --> 0.93*0.215*0.5
Evaluating ... ...
δe = 0.099975
STEP 3: Convert Result to Output's Unit
0.099975 Radian --> No Conversion Required
FINAL ANSWER
0.099975 Radian <-- Elevator Deflection Angle
(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 Sanjay Krishna
Amrita School of Engineering (ASE), Vallikavu
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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

Elevator Deflection Angle given Gearing Ratio Formula

Elevator Deflection Angle = Gearing Ratio*Stick Length*Stick Deflection Angle
δe = 𝑮*𝒍s*δs

What does hinge moment coefficient depend upon?

Hinge moment coefficient is a function of several factors such as tail angle of attack, tail setting angle, etc. Due to downwash, the angle of attack at the tail will be more.

How to Calculate Elevator Deflection Angle given Gearing Ratio?

Elevator Deflection Angle given Gearing Ratio calculator uses Elevator Deflection Angle = Gearing Ratio*Stick Length*Stick Deflection Angle to calculate the Elevator Deflection Angle, The Elevator deflection angle given gearing ratio is the product of control stick length, gearing ratio and control stick deflection. Elevator Deflection Angle is denoted by δe symbol.

How to calculate Elevator Deflection Angle given Gearing Ratio using this online calculator? To use this online calculator for Elevator Deflection Angle given Gearing Ratio, enter Gearing Ratio (𝑮), Stick Length (𝒍s) & Stick Deflection Angle s) and hit the calculate button. Here is how the Elevator Deflection Angle given Gearing Ratio calculation can be explained with given input values -> 0.186 = 0.93*0.215*0.5.

FAQ

What is Elevator Deflection Angle given Gearing Ratio?
The Elevator deflection angle given gearing ratio is the product of control stick length, gearing ratio and control stick deflection and is represented as δe = 𝑮*𝒍ss or Elevator Deflection Angle = Gearing Ratio*Stick Length*Stick Deflection Angle. Gearing ratio is a measure of the mechanical advantage provided by the control system of an aircraft, Stick length is the length of the control stick (to move the control surface) of an aircraft & Stick deflection angle is the angle made by the control stick (used to move control surface) of an aircraft with the vertical.
How to calculate Elevator Deflection Angle given Gearing Ratio?
The Elevator deflection angle given gearing ratio is the product of control stick length, gearing ratio and control stick deflection is calculated using Elevator Deflection Angle = Gearing Ratio*Stick Length*Stick Deflection Angle. To calculate Elevator Deflection Angle given Gearing Ratio, you need Gearing Ratio (𝑮), Stick Length (𝒍s) & Stick Deflection Angle s). With our tool, you need to enter the respective value for Gearing Ratio, Stick Length & Stick Deflection Angle 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 Elevator Deflection Angle?
In this formula, Elevator Deflection Angle uses Gearing Ratio, Stick Length & Stick Deflection Angle. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • Elevator Deflection Angle = Stick Force*Stick Length*Stick Deflection Angle/Hinge Moment
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