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Stick Length for given Stick Force Formula

GoControl stick length for given gearing ratio 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 = 𝑯 𝒆 \cdot \frac{δ e}{𝙁 \cdot δ s}

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

Stick Length for given Stick Force Example

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Here is how the Stick Length for given Stick Force equation looks like with Values.

Here is how the Stick Length for given Stick Force equation looks like with Units.

Here is how the Stick Length for given Stick Force equation looks like.

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

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

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

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Stick Length for given Stick Force Solution

Follow our step by step solution on how to calculate Stick Length for given Stick Force?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

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

Next Step Prepare to Evaluate

∴

𝒍 s = 25 \cdot \frac{0.1}{23.2558 \cdot 0.5}

Next Step Evaluate

∴

𝒍 s = 0.215000036550006m

LAST Step Rounding Answer

∴

𝒍 s = 0.215m

Stick Length for given Stick Force 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

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

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 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 Control stick length for given gearing ratio

𝒍 s = \frac{δ e}{𝑮 \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 Stick Length for given Stick Force?

Stick Length for given Stick Force evaluator uses Stick Length = Hinge Moment*Elevator Deflection Angle/(Stick Force*Stick Deflection Angle) to evaluate the Stick Length, Stick Length for given Stick Force is a measure that determines the length of a stick required to achieve a specific control response, taking into account the hinge moment, elevator deflection angle, and stick force, it is a critical calculation in aircraft design and control systems, ensuring the optimal stick length for efficient and safe operation. Stick Length is denoted by 𝒍_s symbol.

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

FAQs on Stick Length for given Stick Force

What is the formula to find Stick Length for given Stick Force?

The formula of Stick Length for given Stick Force is expressed as Stick Length = Hinge Moment*Elevator Deflection Angle/(Stick Force*Stick Deflection Angle). Here is an example- 0.214961 = 25*0.1/(23.25581*0.5).

How to calculate Stick Length for given Stick Force?

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

What are the other ways to Calculate Stick Length?

Here are the different ways to Calculate Stick Length-

Stick Length=Elevator Deflection Angle/(Gearing Ratio*Stick Deflection Angle)

Can the Stick Length for given Stick Force be negative?

No, the Stick Length for given Stick Force, measured in Length cannot be negative.

Which unit is used to measure Stick Length for given Stick Force?

Stick Length for given Stick Force is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Stick Length for given Stick Force can be measured.

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Stick Length for given Stick Force Formula

​GoControl stick length for given gearing ratio Formula

Stick Length for given Stick Force Example

Stick Length for given Stick Force Solution

Stick Length for given Stick Force Formula Elements

Other Formulas to find Stick Length

Other formulas in Stick Forces and Hinge Moments category

How to Evaluate Stick Length for given Stick Force?

FAQs on Stick Length for given Stick Force

Variable Name

GoControl stick length for given gearing ratio Formula