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Control stick length for given gearing ratio Formula

GoStick Length for given Stick Force Formula

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Stick Length is the length of the control stick (to move the control surface) of an aircraft. Check FAQs

𝒍 s = \frac{δ e}{𝑮 \cdot δ s}

𝒍_s - Stick Length?δ_e - Elevator Deflection Angle?𝑮 - Gearing Ratio?δ_s - Stick Deflection Angle?

Control stick length for given gearing ratio Example

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Here is how the Control stick length for given gearing ratio equation looks like with Values.

Here is how the Control stick length for given gearing ratio equation looks like with Units.

Here is how the Control stick length for given gearing ratio equation looks like.

0.215 = \frac{0.1}{0.9302 \cdot 0.5}

0.215m = \frac{0.1rad}{0.9302m⁻¹ \cdot 0.5rad}

0.215 = \frac{0.1}{0.9302 \cdot 0.5}

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Control stick length for given gearing ratio Solution

Follow our step by step solution on how to calculate Control stick length for given gearing ratio?

FIRST Step Consider the formula

𝒍 s = \frac{δ e}{𝑮 \cdot δ s}

Next Step Substitute values of Variables

∴

𝒍 s = \frac{0.1rad}{0.9302m⁻¹ \cdot 0.5rad}

Next Step Prepare to Evaluate

∴

𝒍 s = \frac{0.1}{0.9302 \cdot 0.5}

Next Step Evaluate

∴

𝒍 s = 0.214999897875049m

LAST Step Rounding Answer

∴

𝒍 s = 0.215m

Control stick length for given gearing ratio Formula Elements

Variables

Stick Length

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

Symbol: 𝒍_s

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Stick Length

Elevator Deflection Angle

The Elevator Deflection Angle is the angle made by the elevator of an aircraft with the horizontal for an applied stick force.

Symbol: δ_e

Measurement: AngleUnit: rad

Note: Value can be positive or negative.

Formulas to find Elevator Deflection Angle

Gearing Ratio

Gearing Ratio is a measure of the mechanical advantage provided by the control system of an aircraft.

Symbol: 𝑮

Measurement: Reciprocal LengthUnit: m⁻¹

Note: Value should be greater than 0.

Formulas to find Gearing Ratio

Stick Deflection Angle

Stick Deflection Angle is the angle made by the control stick (used to move control surface) of an aircraft with the vertical.

Symbol: δ_s

Measurement: AngleUnit: rad

Note: Value can be positive or negative.

Formulas to find Stick Deflection Angle

Other Formulas to find Stick Length

Go Stick Length for given Stick Force

𝒍 s = 𝑯 𝒆 \cdot \frac{δ e}{𝙁 \cdot δ s}

Other formulas in Stick Forces and Hinge Moments category

Go Elevator Hinge moment coefficient

Ch e = \frac{𝑯 𝒆}{0.5 \cdot ρ \cdot V^{2} \cdot S e \cdot c e}

Go Elevator Hinge Moment given Hinge Moment Coefficient

𝑯 𝒆 = Ch e \cdot 0.5 \cdot ρ \cdot V^{2} \cdot S e \cdot c e

Go Flight Velocity given Elevator Hinge Moment Coefficient

V = \sqrt{\frac{𝑯 𝒆}{Ch e \cdot 0.5 \cdot ρ \cdot S e \cdot c e}}

Go Elevator Area given Hinge Moment Coefficient

S e = \frac{𝑯 𝒆}{Ch e \cdot 0.5 \cdot ρ \cdot V^{2} \cdot c e}

How to Evaluate Control stick length for given gearing ratio?

Control stick length for given gearing ratio evaluator uses Stick Length = Elevator Deflection Angle/(Gearing Ratio*Stick Deflection Angle) to evaluate 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 evaluate Control stick length for given gearing ratio using this online evaluator? To use this online evaluator 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.

FAQs on Control stick length for given gearing ratio

What is the formula to find Control stick length for given gearing ratio?

The formula of Control stick length for given gearing ratio is expressed as Stick Length = Elevator Deflection Angle/(Gearing Ratio*Stick Deflection Angle). Here is an example- 0.215054 = 0.1/(0.930233*0.5).

How to calculate Control stick length for given gearing ratio?

With Elevator Deflection Angle (δ_e), Gearing Ratio (𝑮) & Stick Deflection Angle (δ_s) we can find Control stick length for given gearing ratio using the formula - Stick Length = Elevator Deflection Angle/(Gearing Ratio*Stick Deflection Angle).

What are the other ways to Calculate Stick Length?

Here are the different ways to Calculate Stick Length-

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

Can the Control stick length for given gearing ratio be negative?

No, the Control stick length for given gearing ratio, measured in Length cannot be negative.

Which unit is used to measure Control stick length for given gearing ratio?

Control stick length for given gearing ratio is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Control stick length for given gearing ratio can be measured.

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