Control stick length 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%
✖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 [δ_s]			+10% -10%

✖Stick Length is the length of the control stick (to move the control surface) of an aircraft.ⓘ Control stick length for given gearing ratio [𝒍_s]

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Control stick length for given gearing ratio Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

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

Elevator Deflection Angle: 0.1 Radian --> 0.1 Radian No Conversion Required
Gearing Ratio: 0.930233 1 per Meter --> 0.930233 1 per 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

𝒍_s = δ_e/(𝑮*δ_s) --> 0.1/(0.930233*0.5)

Evaluating ... ...

𝒍_s = 0.214999897875049

STEP 3: Convert Result to Output's Unit

0.214999897875049 Meter --> No Conversion Required

FINAL ANSWER

0.214999897875049 ≈ 0.215 Meter <-- Stick Length

(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 » Control stick length 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 Sanjay Krishna

Amrita School of Engineering (ASE), Vallikavu

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Control stick length for given gearing ratio Formula

LaTeX Go

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

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How to Calculate Control stick length for given gearing ratio?

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

How to calculate Control stick length for given gearing ratio using this online calculator? To use this online calculator for Control stick length for given gearing ratio, enter Elevator Deflection Angle (δ_e), Gearing Ratio (𝑮) & Stick Deflection Angle (δ_s) and hit the calculate button. Here is how the Control stick length for given gearing ratio calculation can be explained with given input values -> 0.215054 = 0.1/(0.930233*0.5).

FAQ

What is Control stick length for given gearing ratio?

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

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

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

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

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