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Elevator Deflection Angle given Gearing Ratio Formula

GoElevator Deflection Angle for given Stick Force Formula

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

δ e = 𝑮 \cdot 𝒍 s \cdot δ s

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

Elevator Deflection Angle given Gearing Ratio Example

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

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

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

0.1 = 0.9302 \cdot 0.215 \cdot 0.5

0.1rad = 0.9302m⁻¹ \cdot 0.215m \cdot 0.5rad

0.1 = 0.9302 \cdot 0.215 \cdot 0.5

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Elevator Deflection Angle given Gearing Ratio Solution

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

FIRST Step Consider the formula

δ e = 𝑮 \cdot 𝒍 s \cdot δ s

Next Step Substitute values of Variables

∴

δ e = 0.9302m⁻¹ \cdot 0.215m \cdot 0.5rad

Next Step Prepare to Evaluate

∴

δ e = 0.9302 \cdot 0.215 \cdot 0.5

Next Step Evaluate

∴

δ e = 0.1000000475rad

LAST Step Rounding Answer

∴

δ e = 0.1rad

Elevator Deflection Angle given Gearing Ratio Formula Elements

Variables

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 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

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 Elevator Deflection Angle

Go Elevator Deflection Angle for given Stick Force

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

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 Elevator Deflection Angle given Gearing Ratio?

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

FAQs on Elevator Deflection Angle given Gearing Ratio

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

The formula of Elevator Deflection Angle given Gearing Ratio is expressed as Elevator Deflection Angle = Gearing Ratio*Stick Length*Stick Deflection Angle. Here is an example- 0.099975 = 0.930233*0.215*0.5.

How to calculate Elevator Deflection Angle given Gearing Ratio?

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

What are the other ways to Calculate Elevator Deflection Angle?

Here are the different ways to Calculate Elevator Deflection Angle-

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

Can the Elevator Deflection Angle given Gearing Ratio be negative?

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

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

Elevator Deflection Angle 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 Elevator Deflection Angle given Gearing Ratio can be measured.

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