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(๐‘ฏ๐’†/(Che*0.5*ฯ*Se*ce))
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: 0.77 --> 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(๐‘ฏ๐’†/(Che*0.5*ฯ*Se*ce)) --> sqrt(25/(0.77*0.5*1.225*0.02454*0.6))
Evaluating ... ...
V = 60.0010279464162
STEP 3: Convert Result to Output's Unit
60.0010279464162 Meter per Second --> No Conversion Required
FINAL ANSWER
60.0010279464162 โ‰ˆ 60.00103 Meter per Second <-- Flight Velocity
(Calculation completed in 00.004 seconds)

Credits

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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23 Stick Forces and Hinge Moments Calculators

Flight velocity for given stick force
Go Flight Velocity = sqrt(Stick Force/(Gearing Ratio*Hinge Moment Coefficient*0.5*Density*Elevator Area*Elevator Chord))
Gearing Ratio given Hinge Moment Coefficient
Go Gearing Ratio = Stick Force/(Hinge Moment Coefficient*0.5*Density*Flight Velocity^2*Elevator Area*Elevator Chord)
Hinge Moment Coefficient given Stick Force
Go Hinge Moment Coefficient = Stick Force/(Gearing Ratio*0.5*Density*Flight Velocity^2*Elevator Chord*Elevator Area)
Elevator Chord Length given Stick Force
Go Elevator Chord = Stick Force/(Gearing Ratio*Hinge Moment Coefficient*0.5*Density*Flight Velocity^2*Elevator Area)
Elevator Area given Stick Force
Go Elevator Area = Stick Force/(Gearing Ratio*Hinge Moment Coefficient*0.5*Density*Flight Velocity^2*Elevator Chord)
Elevator Stick Force Given Hinge Moment Coefficient
Go Stick Force = Gearing Ratio*Hinge Moment Coefficient*0.5*Density*Flight Velocity^2*Elevator Chord*Elevator Area
Flight Velocity given Elevator Hinge Moment Coefficient
Go Flight Velocity = sqrt(Hinge Moment/(Hinge Moment Coefficient*0.5*Density*Elevator Area*Elevator Chord))
Elevator Chord Length given Hinge Moment Coefficient
Go Elevator Chord = Hinge Moment/(Hinge Moment Coefficient*0.5*Density*Flight Velocity^2*Elevator Area)
Elevator Area given Hinge Moment Coefficient
Go Elevator Area = Hinge Moment/(Hinge Moment Coefficient*0.5*Density*Flight Velocity^2*Elevator Chord)
Elevator Hinge moment coefficient
Go Hinge Moment Coefficient = Hinge Moment/(0.5*Density*Flight Velocity^2*Elevator Area*Elevator Chord)
Elevator Hinge Moment given Hinge Moment Coefficient
Go Hinge Moment = Hinge Moment Coefficient*0.5*Density*Flight Velocity^2*Elevator Area*Elevator Chord
Stick deflection angle for given stick force
Go Stick Deflection Angle = Hinge Moment*Elevator Deflection Angle/(Stick Force*Stick Length)
Stick length for given stick force
Go Stick Length = Hinge Moment*Elevator Deflection Angle/(Stick Force*Stick Deflection Angle)
Elevator Stick Force
Go Stick Force = Elevator Deflection Angle*Hinge Moment/(Stick Length*Stick Deflection Angle)
Elevator deflection angle for given stick force
Go Elevator Deflection Angle = Stick Force*Stick Length*Stick Deflection Angle/Hinge Moment
Hinge moment for given stick force
Go Hinge Moment = Stick Force*Stick Length*Stick Deflection Angle/Elevator Deflection Angle
Stick deflection angle for given gearing ratio
Go Stick Deflection Angle = Elevator Deflection Angle/(Stick Length*Gearing Ratio)
Control stick length for given gearing ratio
Go Stick Length = Elevator Deflection Angle/(Gearing Ratio*Stick Deflection Angle)
Gearing ratio
Go Gearing Ratio = Elevator Deflection Angle/(Stick Length*Stick Deflection Angle)
Elevator Deflection Angle given Gearing Ratio
Go Elevator Deflection Angle = Gearing Ratio*Stick Length*Stick Deflection Angle
Elevator Stick Force given Gearing Ratio
Go Stick Force = Gearing Ratio*Hinge Moment
Hinge moment for given gearing ratio
Go Hinge Moment = Stick Force/Gearing Ratio
Gearing ratio for given stick force
Go Gearing Ratio = Stick Force/Hinge Moment

Flight Velocity given Elevator Hinge Moment Coefficient Formula

Flight Velocity = sqrt(Hinge Moment/(Hinge Moment Coefficient*0.5*Density*Elevator Area*Elevator Chord))
V = sqrt(๐‘ฏ๐’†/(Che*0.5*ฯ*Se*ce))

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, The Flight velocity given elevator hinge moment coefficient is a function of elevator hinge moment, the altitude of flight, elevator area, and chord. 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 (๐‘ฏ๐’†), Hinge Moment Coefficient (Che), Density (ฯ), Elevator Area (Se) & Elevator Chord (ce) and hit the calculate button. Here is how the Flight Velocity given Elevator Hinge Moment Coefficient calculation can be explained with given input values -> 60.2966 = sqrt(25/(0.77*0.5*1.225*0.02454*0.6)).

FAQ

What is Flight Velocity given Elevator Hinge Moment Coefficient?
The Flight velocity given elevator hinge moment coefficient is a function of elevator hinge moment, the altitude of flight, elevator area, and chord and is represented as V = sqrt(๐‘ฏ๐’†/(Che*0.5*ฯ*Se*ce)) 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?
The Flight velocity given elevator hinge moment coefficient is a function of elevator hinge moment, the altitude of flight, elevator area, and chord 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 (๐‘ฏ๐’†), Hinge Moment Coefficient (Che), Density (ฯ), Elevator Area (Se) & Elevator Chord (ce). 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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