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Flight Velocity given Elevator Hinge Moment Coefficient Formula

GoFlight Velocity for given Stick Force Formula

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Flight Velocity refers to the speed at which an aircraft moves through the air. Check FAQs

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

V - Flight Velocity?𝑯_𝒆 - Hinge Moment?Ch_e - Hinge Moment Coefficient?ρ - Density?S_e - Elevator Area?c_e - Elevator Chord?

Flight Velocity given Elevator Hinge Moment Coefficient Example

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Here is how the Flight Velocity given Elevator Hinge Moment Coefficient equation looks like with Values.

Here is how the Flight Velocity given Elevator Hinge Moment Coefficient equation looks like with Units.

Here is how the Flight Velocity given Elevator Hinge Moment Coefficient equation looks like.

59.9871 = \sqrt{\frac{25}{0.7704 \cdot 0.5 \cdot 1.225 \cdot 0.0245 \cdot 0.6}}

59.9871m/s = \sqrt{\frac{25N*m}{0.7704 \cdot 0.5 \cdot 1.225kg/m³ \cdot 0.0245m² \cdot 0.6m}}

59.9871 = \sqrt{\frac{25}{0.7704 \cdot 0.5 \cdot 1.225 \cdot 0.0245 \cdot 0.6}}

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Flight Velocity given Elevator Hinge Moment Coefficient Solution

Follow our step by step solution on how to calculate Flight Velocity given Elevator Hinge Moment Coefficient?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

V = \sqrt{\frac{25N*m}{0.7704 \cdot 0.5 \cdot 1.225kg/m³ \cdot 0.0245m² \cdot 0.6m}}

Next Step Prepare to Evaluate

∴

V = \sqrt{\frac{25}{0.7704 \cdot 0.5 \cdot 1.225 \cdot 0.0245 \cdot 0.6}}

Next Step Evaluate

∴

V = 59.9870845174075m/s

LAST Step Rounding Answer

∴

V = 59.9871m/s

Flight Velocity given Elevator Hinge Moment Coefficient Formula Elements

Variables

Functions

Flight Velocity

Flight Velocity refers to the speed at which an aircraft moves through the air.

Symbol: V

Measurement: SpeedUnit: m/s

Note: Value should be greater than 0.

Formulas to find Flight Velocity

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

Hinge Moment Coefficient

Hinge Moment Coefficient is the coefficient associated with the hinge moment of the control surface of an aircraft.

Symbol: Ch_e

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Hinge Moment Coefficient

Density

Density of flow refers to the mass per unit volume of a fluid through which aircraft is moving.

Symbol: ρ

Measurement: DensityUnit: kg/m³

Note: Value should be greater than 0.

Formulas to find Density

Elevator Area

The Elevator Area is the area of the control surface responsible for providing pitching motion to an aircraft.

Symbol: S_e

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Elevator Area

Elevator Chord

Elevator Chord is the chord length of an elevator measured from its hinge line to trailing edge.

Symbol: c_e

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Elevator Chord

sqrt

A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number.

Syntax: sqrt(Number)

Other Formulas to find Flight Velocity

Go Flight Velocity for given Stick Force

V = \sqrt{\frac{𝙁}{𝑮 \cdot Ch e \cdot 0.5 \cdot ρ \cdot S e \cdot c 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 Elevator Area given Hinge Moment Coefficient

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

Go Elevator Chord Length given Hinge Moment Coefficient

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

How to Evaluate Flight Velocity given Elevator Hinge Moment Coefficient?

Flight Velocity given Elevator Hinge Moment Coefficient evaluator uses Flight Velocity = sqrt(Hinge Moment/(Hinge Moment Coefficient*0.5*Density*Elevator Area*Elevator Chord)) to evaluate the Flight Velocity, Flight Velocity given Elevator Hinge Moment Coefficient is a measure of the longitudinal velocity of an aircraft's flight, calculated by considering the elevator's hinge moment coefficient, density, area, and chord length, providing a crucial indicator of the aircraft's stability and control during flight. Flight Velocity is denoted by V symbol.

How to evaluate Flight Velocity given Elevator Hinge Moment Coefficient using this online evaluator? To use this online evaluator for Flight Velocity given Elevator Hinge Moment Coefficient, enter Hinge Moment (𝑯_𝒆), Hinge Moment Coefficient (Ch_e), Density (ρ), Elevator Area (S_e) & Elevator Chord (c_e) and hit the calculate button.

FAQs on Flight Velocity given Elevator Hinge Moment Coefficient

What is the formula to find Flight Velocity given Elevator Hinge Moment Coefficient?

The formula of Flight Velocity given Elevator Hinge Moment Coefficient is expressed as Flight Velocity = sqrt(Hinge Moment/(Hinge Moment Coefficient*0.5*Density*Elevator Area*Elevator Chord)). Here is an example- 60.00103 = sqrt(25/(0.770358*0.5*1.225*0.02454*0.6)).

How to calculate Flight Velocity given Elevator Hinge Moment Coefficient?

With Hinge Moment (𝑯_𝒆), Hinge Moment Coefficient (Ch_e), Density (ρ), Elevator Area (S_e) & Elevator Chord (c_e) we can find Flight Velocity given Elevator Hinge Moment Coefficient using the formula - Flight Velocity = sqrt(Hinge Moment/(Hinge Moment Coefficient*0.5*Density*Elevator Area*Elevator Chord)). This formula also uses Square Root (sqrt) function(s).

What are the other ways to Calculate Flight Velocity?

Here are the different ways to Calculate Flight Velocity-

Flight Velocity=sqrt(Stick Force/(Gearing Ratio*Hinge Moment Coefficient*0.5*Density*Elevator Area*Elevator Chord))

Can the Flight Velocity given Elevator Hinge Moment Coefficient be negative?

No, the Flight Velocity given Elevator Hinge Moment Coefficient, measured in Speed cannot be negative.

Which unit is used to measure Flight Velocity given Elevator Hinge Moment Coefficient?

Flight Velocity given Elevator Hinge Moment Coefficient is usually measured using the Meter per Second[m/s] for Speed. Meter per Minute[m/s], Meter per Hour[m/s], Kilometer per Hour[m/s] are the few other units in which Flight Velocity given Elevator Hinge Moment Coefficient can be measured.

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Flight Velocity given Elevator Hinge Moment Coefficient Formula

​GoFlight Velocity for given Stick Force Formula

Flight Velocity given Elevator Hinge Moment Coefficient Example

Flight Velocity given Elevator Hinge Moment Coefficient Solution

Flight Velocity given Elevator Hinge Moment Coefficient Formula Elements

Other Formulas to find Flight Velocity

Other formulas in Stick Forces and Hinge Moments category

How to Evaluate Flight Velocity given Elevator Hinge Moment Coefficient?

FAQs on Flight Velocity given Elevator Hinge Moment Coefficient

Variable Name

GoFlight Velocity for given Stick Force Formula