Stick Deflection Angle for given Gearing Ratio Calculator

✖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 [δ_e]			+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%
✖Gearing Ratio is a measure of the mechanical advantage provided by the control system of an aircraft.ⓘ Gearing Ratio [𝑮]			+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 for given Gearing Ratio [δ_s]

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Stick Deflection Angle for given Gearing Ratio Solution

STEP 0: Pre-Calculation Summary

Formula Used

Stick Deflection Angle = Elevator Deflection Angle/(Stick Length*Gearing Ratio)
δ_s = δ_e/(𝒍_s*𝑮)
This formula uses 4 Variables

Variables Used

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.
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.
Stick Length - (Measured in Meter) - Stick Length is the length of the control stick (to move the control surface) of an aircraft.
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

Elevator Deflection Angle: 0.1 Radian --> 0.1 Radian No Conversion Required
Stick Length: 0.215 Meter --> 0.215 Meter 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

δ_s = δ_e/(𝒍_s*𝑮) --> 0.1/(0.215*0.930233)

Evaluating ... ...

δ_s = 0.499999762500113

STEP 3: Convert Result to Output's Unit

0.499999762500113 Radian --> No Conversion Required

FINAL ANSWER

0.499999762500113 ≈ 0.5 Radian <-- Stick Deflection Angle

(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 » Stick Deflection Angle for 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 Shikha Maurya

Indian Institute of Technology (IIT), Bombay

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< Stick Forces and Hinge Moments Calculators

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

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Elevator Hinge Moment given Hinge Moment Coefficient

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

Stick Deflection Angle for given Gearing Ratio Formula

LaTeX Go

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

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How to Calculate Stick Deflection Angle for given Gearing Ratio?

Stick Deflection Angle for given Gearing Ratio calculator uses Stick Deflection Angle = Elevator Deflection Angle/(Stick Length*Gearing Ratio) to calculate the Stick Deflection Angle, Stick Deflection Angle for given Gearing Ratio is a measure of the angle of deflection of the stick in a control system, calculated by dividing the elevator deflection angle by the product of the stick length and gearing ratio, allowing for precise control and adjustment in aerospace and mechanical systems. . Stick Deflection Angle is denoted by δ_s symbol.

How to calculate Stick Deflection Angle for given Gearing Ratio using this online calculator? To use this online calculator for Stick Deflection Angle for given Gearing Ratio, enter Elevator Deflection Angle (δ_e), Stick Length (𝒍_s) & Gearing Ratio (𝑮) and hit the calculate button. Here is how the Stick Deflection Angle for given Gearing Ratio calculation can be explained with given input values -> 0.500125 = 0.1/(0.215*0.930233).

FAQ

What is Stick Deflection Angle for given Gearing Ratio?

Stick Deflection Angle for given Gearing Ratio is a measure of the angle of deflection of the stick in a control system, calculated by dividing the elevator deflection angle by the product of the stick length and gearing ratio, allowing for precise control and adjustment in aerospace and mechanical systems. and is represented as δ_s = δ_e/(𝒍_s*𝑮) or Stick Deflection Angle = Elevator Deflection Angle/(Stick Length*Gearing Ratio). The Elevator Deflection Angle is the angle made by the elevator of an aircraft with the horizontal for an applied stick force, Stick Length is the length of the control stick (to move the control surface) of an aircraft & Gearing Ratio is a measure of the mechanical advantage provided by the control system of an aircraft.

How to calculate Stick Deflection Angle for given Gearing Ratio?

Stick Deflection Angle for given Gearing Ratio is a measure of the angle of deflection of the stick in a control system, calculated by dividing the elevator deflection angle by the product of the stick length and gearing ratio, allowing for precise control and adjustment in aerospace and mechanical systems. is calculated using Stick Deflection Angle = Elevator Deflection Angle/(Stick Length*Gearing Ratio). To calculate Stick Deflection Angle for given Gearing Ratio, you need Elevator Deflection Angle (δ_e), Stick Length (𝒍_s) & Gearing Ratio (𝑮). With our tool, you need to enter the respective value for Elevator Deflection Angle, Stick Length & 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 Stick Deflection Angle?

In this formula, Stick Deflection Angle uses Elevator Deflection Angle, Stick Length & Gearing Ratio. We can use 1 other way(s) to calculate the same, which is/are as follows -

Stick Deflection Angle = Hinge Moment*Elevator Deflection Angle/(Stick Force*Stick Length)

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