Elevator Deflection Angle given Gearing Ratio Calculator

✖Gearing Ratio is a measure of the mechanical advantage provided by the control system of an aircraft.ⓘ Gearing Ratio [𝑮]			+10% -10%
✖Stick Length is the length of the control stick (to move the control surface) of an aircraft.ⓘ Stick Length [𝒍_s]			+10% -10%
✖Stick Deflection Angle is the angle made by the control stick (used to move control surface) of an aircraft with the vertical.ⓘ Stick Deflection Angle [δ_s]			+10% -10%

✖The Elevator Deflection Angle is the angle made by the elevator of an aircraft with the horizontal for an applied stick force.ⓘ Elevator Deflection Angle given Gearing Ratio [δ_e]

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Elevator Deflection Angle given Gearing Ratio Solution

STEP 0: Pre-Calculation Summary

Formula Used

Elevator Deflection Angle = Gearing Ratio*Stick Length*Stick Deflection Angle
δ_e = 𝑮*𝒍_s*δ_s
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: 0.930233 1 per Meter --> 0.930233 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

δ_e = 𝑮*𝒍_s*δ_s --> 0.930233*0.215*0.5

Evaluating ... ...

δ_e = 0.1000000475

STEP 3: Convert Result to Output's Unit

0.1000000475 Radian --> No Conversion Required

FINAL ANSWER

0.1000000475 ≈ 0.1 Radian <-- Elevator Deflection Angle

(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 » Elevator Deflection Angle given Gearing Ratio

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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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< 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

Elevator Deflection Angle given Gearing Ratio Formula

LaTeX Go

Elevator Deflection Angle = Gearing Ratio*Stick Length*Stick Deflection Angle
δ_e = 𝑮*𝒍_s*δ_s

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, Elevator Deflection Angle given Gearing Ratio is a measure of the angular displacement of an elevator surface in response to a control stick input, calculated by multiplying the gearing ratio, stick length, and stick deflection angle, providing a critical indicator of aircraft control surface performance. Elevator Deflection Angle is denoted by δ_e 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 (𝒍_s) & Stick Deflection Angle (δ_s) and hit the calculate button. Here is how the Elevator Deflection Angle given Gearing Ratio calculation can be explained with given input values -> 0.099975 = 0.930233*0.215*0.5.

FAQ

What is Elevator Deflection Angle given Gearing Ratio?

Elevator Deflection Angle given Gearing Ratio is a measure of the angular displacement of an elevator surface in response to a control stick input, calculated by multiplying the gearing ratio, stick length, and stick deflection angle, providing a critical indicator of aircraft control surface performance and is represented as δ_e = 𝑮*𝒍_s*δ_s 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?

Elevator Deflection Angle given Gearing Ratio is a measure of the angular displacement of an elevator surface in response to a control stick input, calculated by multiplying the gearing ratio, stick length, and stick deflection angle, providing a critical indicator of aircraft control surface performance 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 (𝒍_s) & Stick Deflection Angle (δ_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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