Elevator Area given 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%
✖Flight Velocity refers to the speed at which an aircraft moves through the air.ⓘ Flight Velocity [V]			+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%

✖The Elevator Area is the area of the control surface responsible for providing pitching motion to an aircraft.ⓘ Elevator Area given Hinge Moment Coefficient [S_e]

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Elevator Area given Hinge Moment Coefficient Solution

STEP 0: Pre-Calculation Summary

Formula Used

Elevator Area = Hinge Moment/(Hinge Moment Coefficient*0.5*Density*Flight Velocity^2*Elevator Chord)
S_e = 𝑯_𝒆/(Ch_e*0.5*ρ*V^2*c_e)
This formula uses 6 Variables

Variables Used

Elevator Area - (Measured in Square Meter) - The Elevator Area is the area of the control surface responsible for providing pitching motion to an aircraft.
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.
Flight Velocity - (Measured in Meter per Second) - Flight Velocity refers to the speed at which an aircraft moves through the air.
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
Flight Velocity: 60 Meter per Second --> 60 Meter per Second No Conversion Required
Elevator Chord: 0.6 Meter --> 0.6 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

S_e = 𝑯_𝒆/(Ch_e*0.5*ρ*V^2*c_e) --> 25/(0.770358*0.5*1.225*60^2*0.6)

Evaluating ... ...

S_e = 0.0245294362723254

STEP 3: Convert Result to Output's Unit

0.0245294362723254 Square Meter --> No Conversion Required

FINAL ANSWER

0.0245294362723254 ≈ 0.024529 Square Meter <-- Elevator Area

(Calculation completed in 00.017 seconds)

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Created by Vinay Mishra

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

Vinay Mishra has created this Calculator and 300+ more calculators!

Verified by Maiarutselvan V

PSG College of Technology (PSGCT), Coimbatore

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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

Elevator Area given Hinge Moment Coefficient Formula

LaTeX Go

Elevator Area = Hinge Moment/(Hinge Moment Coefficient*0.5*Density*Flight Velocity^2*Elevator Chord)
S_e = 𝑯_𝒆/(Ch_e*0.5*ρ*V^2*c_e)

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How to Calculate Elevator Area given Hinge Moment Coefficient?

Elevator Area given Hinge Moment Coefficient calculator uses Elevator Area = Hinge Moment/(Hinge Moment Coefficient*0.5*Density*Flight Velocity^2*Elevator Chord) to calculate the Elevator Area, Elevator Area given Hinge Moment Coefficient is a measure that calculates the elevator area, which is essential in aerodynamics, by utilizing the hinge moment coefficient, density, velocity, and elevator chord length, to determine the effective surface area of an elevator, influencing the aircraft's stability and control during flight. Elevator Area is denoted by S_e symbol.

How to calculate Elevator Area given Hinge Moment Coefficient using this online calculator? To use this online calculator for Elevator Area given Hinge Moment Coefficient, enter Hinge Moment (𝑯_𝒆), Hinge Moment Coefficient (Ch_e), Density (ρ), Flight Velocity (V) & Elevator Chord (c_e) and hit the calculate button. Here is how the Elevator Area given Hinge Moment Coefficient calculation can be explained with given input values -> 0.024541 = 25/(0.770358*0.5*1.225*60^2*0.6).

FAQ

What is Elevator Area given Hinge Moment Coefficient?

Elevator Area given Hinge Moment Coefficient is a measure that calculates the elevator area, which is essential in aerodynamics, by utilizing the hinge moment coefficient, density, velocity, and elevator chord length, to determine the effective surface area of an elevator, influencing the aircraft's stability and control during flight and is represented as S_e = 𝑯_𝒆/(Ch_e*0.5*ρ*V^2*c_e) or Elevator Area = Hinge Moment/(Hinge Moment Coefficient*0.5*Density*Flight Velocity^2*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, Flight Velocity refers to the speed at which an aircraft moves through the air & Elevator Chord is the chord length of an elevator measured from its hinge line to trailing edge.

How to calculate Elevator Area given Hinge Moment Coefficient?

Elevator Area given Hinge Moment Coefficient is a measure that calculates the elevator area, which is essential in aerodynamics, by utilizing the hinge moment coefficient, density, velocity, and elevator chord length, to determine the effective surface area of an elevator, influencing the aircraft's stability and control during flight is calculated using Elevator Area = Hinge Moment/(Hinge Moment Coefficient*0.5*Density*Flight Velocity^2*Elevator Chord). To calculate Elevator Area given Hinge Moment Coefficient, you need Hinge Moment (𝑯_𝒆), Hinge Moment Coefficient (Ch_e), Density (ρ), Flight Velocity (V) & Elevator Chord (c_e). With our tool, you need to enter the respective value for Hinge Moment, Hinge Moment Coefficient, Density, Flight Velocity & 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 Elevator Area?

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

Elevator Area = Stick Force/(Gearing Ratio*Hinge Moment Coefficient*0.5*Density*Flight Velocity^2*Elevator Chord)

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