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Elevator Deflection Angle for given Stick Force Formula

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

δ_e - Elevator Deflection Angle?𝙁 - Stick Force?𝒍_s - Stick Length?δ_s - Stick Deflection Angle?𝑯_𝒆 - Hinge Moment?

Elevator Deflection Angle for given Stick Force Example

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Here is how the Elevator Deflection Angle for given Stick Force equation looks like with Values.

Here is how the Elevator Deflection Angle for given Stick Force equation looks like with Units.

Here is how the Elevator Deflection Angle for given Stick Force equation looks like.

0.1 = 23.2558 \cdot 0.215 \cdot \frac{0.5}{25}

0.1rad = 23.2558N \cdot 0.215m \cdot \frac{0.5rad}{25N*m}

0.1 = 23.2558 \cdot 0.215 \cdot \frac{0.5}{25}

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Elevator Deflection Angle for given Stick Force Solution

Follow our step by step solution on how to calculate Elevator Deflection Angle for given Stick Force?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

δ e = 23.2558N \cdot 0.215m \cdot \frac{0.5rad}{25N*m}

Next Step Prepare to Evaluate

∴

δ e = 23.2558 \cdot 0.215 \cdot \frac{0.5}{25}

Next Step Evaluate

∴

δ e = 0.099999983rad

LAST Step Rounding Answer

∴

δ e = 0.1rad

Elevator Deflection Angle for given Stick Force 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

Stick Force

Stick Force is the force exerted on the control column by the pilot of an airplane in flight.

Symbol: 𝙁

Measurement: ForceUnit: N

Note: Value should be greater than 0.

Formulas to find Stick Force

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

Hinge Moment

Hinge Moment is the moment acting on a control surface that the pilot must overcome by exerting a force on the control stick.

Symbol: 𝑯_𝒆

Measurement: Moment of ForceUnit: N*m

Note: Value can be positive or negative.

Formulas to find Hinge Moment

Other Formulas to find Elevator Deflection Angle

Go Elevator Deflection Angle given Gearing Ratio

δ e = 𝑮 \cdot 𝒍 s \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 Elevator Deflection Angle for given Stick Force?

Elevator Deflection Angle for given Stick Force evaluator uses Elevator Deflection Angle = Stick Force*Stick Length*Stick Deflection Angle/Hinge Moment to evaluate the Elevator Deflection Angle, Elevator Deflection Angle for given Stick Force is the measure of the angle of deflection of an elevator in response to a specific stick force, calculated by considering the stick force, stick length, stick deflection angle, and hinge moment, providing a crucial indicator of an aircraft's stability and control during flight. . Elevator Deflection Angle is denoted by δ_e symbol.

How to evaluate Elevator Deflection Angle for given Stick Force using this online evaluator? To use this online evaluator for Elevator Deflection Angle for given Stick Force, enter Stick Force (𝙁), Stick Length (𝒍_s), Stick Deflection Angle (δ_s) & Hinge Moment (𝑯_𝒆) and hit the calculate button.

FAQs on Elevator Deflection Angle for given Stick Force

What is the formula to find Elevator Deflection Angle for given Stick Force?

The formula of Elevator Deflection Angle for given Stick Force is expressed as Elevator Deflection Angle = Stick Force*Stick Length*Stick Deflection Angle/Hinge Moment. Here is an example- 0.100018 = 23.25581*0.215*0.5/25.

How to calculate Elevator Deflection Angle for given Stick Force?

With Stick Force (𝙁), Stick Length (𝒍_s), Stick Deflection Angle (δ_s) & Hinge Moment (𝑯_𝒆) we can find Elevator Deflection Angle for given Stick Force using the formula - Elevator Deflection Angle = Stick Force*Stick Length*Stick Deflection Angle/Hinge Moment.

What are the other ways to Calculate Elevator Deflection Angle?

Here are the different ways to Calculate Elevator Deflection Angle-

Elevator Deflection Angle=Gearing Ratio*Stick Length*Stick Deflection Angle

Can the Elevator Deflection Angle for given Stick Force be negative?

Yes, the Elevator Deflection Angle for given Stick Force, measured in Angle can be negative.

Which unit is used to measure Elevator Deflection Angle for given Stick Force?

Elevator Deflection Angle for given Stick Force 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 for given Stick Force can be measured.

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: Unit

Elevator Deflection Angle for given Stick Force Formula

​GoElevator Deflection Angle given Gearing Ratio Formula

Elevator Deflection Angle for given Stick Force Example

Elevator Deflection Angle for given Stick Force Solution

Elevator Deflection Angle for given Stick Force Formula Elements

Other Formulas to find Elevator Deflection Angle

Other formulas in Stick Forces and Hinge Moments category

How to Evaluate Elevator Deflection Angle for given Stick Force?

FAQs on Elevator Deflection Angle for given Stick Force

Variable Name

GoElevator Deflection Angle given Gearing Ratio Formula