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Stick Deflection Angle for given Gearing Ratio Formula

GoStick Deflection Angle for given Stick Force Formula

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

δ s = \frac{δ e}{𝒍 s \cdot 𝑮}

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

Stick Deflection Angle for given Gearing Ratio Example

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Here is how the Stick Deflection Angle for given Gearing Ratio equation looks like with Values.

Here is how the Stick Deflection Angle for given Gearing Ratio equation looks like with Units.

Here is how the Stick Deflection Angle for given Gearing Ratio equation looks like.

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

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

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

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Stick Deflection Angle for given Gearing Ratio Solution

Follow our step by step solution on how to calculate Stick Deflection Angle for given Gearing Ratio?

FIRST Step Consider the formula

δ s = \frac{δ e}{𝒍 s \cdot 𝑮}

Next Step Substitute values of Variables

∴

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

Next Step Prepare to Evaluate

∴

δ s = \frac{0.1}{0.215 \cdot 0.9302}

Next Step Evaluate

∴

δ s = 0.499999762500113rad

LAST Step Rounding Answer

∴

δ s = 0.5rad

Stick Deflection Angle for given Gearing Ratio Formula Elements

Variables

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

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

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

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

Other Formulas to find Stick Deflection Angle

Go Stick Deflection Angle for given Stick Force

δ s = 𝑯 𝒆 \cdot \frac{δ e}{𝙁 \cdot 𝒍 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 Stick Deflection Angle for given Gearing Ratio?

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

FAQs on Stick Deflection Angle for given Gearing Ratio

What is the formula to find Stick Deflection Angle for given Gearing Ratio?

The formula of Stick Deflection Angle for given Gearing Ratio is expressed as Stick Deflection Angle = Elevator Deflection Angle/(Stick Length*Gearing Ratio). Here is an example- 0.500125 = 0.1/(0.215*0.930233).

How to calculate Stick Deflection Angle for given Gearing Ratio?

With Elevator Deflection Angle (δ_e), Stick Length (𝒍_s) & Gearing Ratio (𝑮) we can find Stick Deflection Angle for given Gearing Ratio using the formula - Stick Deflection Angle = Elevator Deflection Angle/(Stick Length*Gearing Ratio).

What are the other ways to Calculate Stick Deflection Angle?

Here are the different ways to Calculate Stick Deflection Angle-

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

Can the Stick Deflection Angle for given Gearing Ratio be negative?

Yes, the Stick Deflection Angle for given Gearing Ratio, measured in Angle can be negative.

Which unit is used to measure Stick Deflection Angle for given Gearing Ratio?

Stick Deflection Angle for given Gearing Ratio is usually measured using the Radian[rad] for Angle. Degree[rad], Minute[rad], Second[rad] are the few other units in which Stick Deflection Angle for given Gearing Ratio can be measured.

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