Flight Velocity given Elevator Hinge Moment Coefficient Calculator

✖Hinge Moment is the moment acting on a control surface that the pilot must overcome by exerting a force on the control stick.ⓘ Hinge Moment [𝑯_𝒆]			+10% -10%
✖Hinge Moment Coefficient is the coefficient associated with the hinge moment of the control surface of an aircraft.ⓘ Hinge Moment Coefficient [Ch_e]			+10% -10%
✖Density of flow refers to the mass per unit volume of a fluid through which aircraft is moving.ⓘ Density [ρ]			+10% -10%
✖The Elevator Area is the area of the control surface responsible for providing pitching motion to an aircraft.ⓘ Elevator Area [S_e]			+10% -10%
✖Elevator Chord is the chord length of an elevator measured from its hinge line to trailing edge.ⓘ Elevator Chord [c_e]			+10% -10%

✖Flight Velocity refers to the speed at which an aircraft moves through the air.ⓘ Flight Velocity given Elevator Hinge Moment Coefficient [V]

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Flight Velocity given Elevator Hinge Moment Coefficient Solution

STEP 0: Pre-Calculation Summary

Formula Used

Flight Velocity = sqrt(Hinge Moment/(Hinge Moment Coefficient*0.5*Density*Elevator Area*Elevator Chord))
V = sqrt(𝑯_𝒆/(Ch_e*0.5*ρ*S_e*c_e))
This formula uses 1 Functions, 6 Variables

Functions Used

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., sqrt(Number)

Variables Used

Flight Velocity - (Measured in Meter per Second) - Flight Velocity refers to the speed at which an aircraft moves through the air.
Hinge Moment - (Measured in Newton Meter) - Hinge Moment is the moment acting on a control surface that the pilot must overcome by exerting a force on the control stick.
Hinge Moment Coefficient - Hinge Moment Coefficient is the coefficient associated with the hinge moment of the control surface of an aircraft.
Density - (Measured in Kilogram per Cubic Meter) - Density of flow refers to the mass per unit volume of a fluid through which aircraft is moving.
Elevator Area - (Measured in Square Meter) - The Elevator Area is the area of the control surface responsible for providing pitching motion to an aircraft.
Elevator Chord - (Measured in Meter) - Elevator Chord is the chord length of an elevator measured from its hinge line to trailing edge.

STEP 1: Convert Input(s) to Base Unit

Hinge Moment: 25 Newton Meter --> 25 Newton Meter No Conversion Required
Hinge Moment Coefficient: 0.770358 --> No Conversion Required
Density: 1.225 Kilogram per Cubic Meter --> 1.225 Kilogram per Cubic Meter No Conversion Required
Elevator Area: 0.02454 Square Meter --> 0.02454 Square Meter No Conversion Required
Elevator Chord: 0.6 Meter --> 0.6 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

V = sqrt(𝑯_𝒆/(Ch_e*0.5*ρ*S_e*c_e)) --> sqrt(25/(0.770358*0.5*1.225*0.02454*0.6))

Evaluating ... ...

V = 59.9870845174075

STEP 3: Convert Result to Output's Unit

59.9870845174075 Meter per Second --> No Conversion Required

FINAL ANSWER

59.9870845174075 ≈ 59.98708 Meter per Second <-- Flight Velocity

(Calculation completed in 00.017 seconds)

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Home » Physics » Aircraft Mechanics » Static Stability and Control » Longitudinal Control » Aerospace » Stick Forces and Hinge Moments » Flight Velocity given Elevator Hinge Moment Coefficient

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Created by Vinay Mishra

Indian Institute for Aeronautical Engineering and Information Technology (IIAEIT), Pune

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Verified by Sanjay Krishna

Amrita School of Engineering (ASE), Vallikavu

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< Stick Forces and Hinge Moments Calculators

Flight Velocity given Elevator Hinge Moment Coefficient

LaTeX Go Flight Velocity = sqrt(Hinge Moment/(Hinge Moment Coefficient*0.5*Density*Elevator Area*Elevator Chord))

Elevator Area given Hinge Moment Coefficient

LaTeX Go Elevator Area = Hinge Moment/(Hinge Moment Coefficient*0.5*Density*Flight Velocity^2*Elevator Chord)

Elevator Hinge moment coefficient

LaTeX Go Hinge Moment Coefficient = Hinge Moment/(0.5*Density*Flight Velocity^2*Elevator Area*Elevator Chord)

Elevator Hinge Moment given Hinge Moment Coefficient

LaTeX Go Hinge Moment = Hinge Moment Coefficient*0.5*Density*Flight Velocity^2*Elevator Area*Elevator Chord

Flight Velocity given Elevator Hinge Moment Coefficient Formula

LaTeX Go

Flight Velocity = sqrt(Hinge Moment/(Hinge Moment Coefficient*0.5*Density*Elevator Area*Elevator Chord))
V = sqrt(𝑯_𝒆/(Ch_e*0.5*ρ*S_e*c_e))

What is flutter?

Flutter is a hazardous condition; if it is not stopped, it can cause structural failure and potentially lead to a fatal accident.

How to Calculate Flight Velocity given Elevator Hinge Moment Coefficient?

Flight Velocity given Elevator Hinge Moment Coefficient calculator uses Flight Velocity = sqrt(Hinge Moment/(Hinge Moment Coefficient*0.5*Density*Elevator Area*Elevator Chord)) to calculate 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 calculate Flight Velocity given Elevator Hinge Moment Coefficient using this online calculator? To use this online calculator 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. Here is how the Flight Velocity given Elevator Hinge Moment Coefficient calculation can be explained with given input values -> 60.00103 = sqrt(25/(0.770358*0.5*1.225*0.02454*0.6)).

FAQ

What is Flight Velocity given Elevator Hinge Moment Coefficient?

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 and is represented as V = sqrt(𝑯_𝒆/(Ch_e*0.5*ρ*S_e*c_e)) or Flight Velocity = sqrt(Hinge Moment/(Hinge Moment Coefficient*0.5*Density*Elevator Area*Elevator Chord)). Hinge Moment is the moment acting on a control surface that the pilot must overcome by exerting a force on the control stick, Hinge Moment Coefficient is the coefficient associated with the hinge moment of the control surface of an aircraft, Density of flow refers to the mass per unit volume of a fluid through which aircraft is moving, The Elevator Area is the area of the control surface responsible for providing pitching motion to an aircraft & Elevator Chord is the chord length of an elevator measured from its hinge line to trailing edge.

How to calculate Flight Velocity given Elevator Hinge Moment Coefficient?

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 is calculated using Flight Velocity = sqrt(Hinge Moment/(Hinge Moment Coefficient*0.5*Density*Elevator Area*Elevator Chord)). To calculate Flight Velocity given Elevator Hinge Moment Coefficient, you need Hinge Moment (𝑯_𝒆), Hinge Moment Coefficient (Ch_e), Density (ρ), Elevator Area (S_e) & Elevator Chord (c_e). With our tool, you need to enter the respective value for Hinge Moment, Hinge Moment Coefficient, Density, Elevator Area & Elevator Chord and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Flight Velocity?

In this formula, Flight Velocity uses Hinge Moment, Hinge Moment Coefficient, Density, Elevator Area & Elevator Chord. We can use 1 other way(s) to calculate the same, which is/are as follows -

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

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