Hinge Moment Coefficient given Stick Force Calculator

✖Stick Force is the force exerted on the control column by the pilot of an airplane in flight.ⓘ Stick Force [𝙁]			+10% -10%
✖Gearing Ratio is a measure of the mechanical advantage provided by the control system of an aircraft.ⓘ Gearing Ratio [𝑮]			+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 [S_e]			+10% -10%

✖Hinge Moment Coefficient is the coefficient associated with the hinge moment of the control surface of an aircraft.ⓘ Hinge Moment Coefficient given Stick Force [Ch_e]

⎘ Copy

👎

Formula

✖

Hinge Moment Coefficient given Stick Force

Formula

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

Example

0.770026 = \frac{23.25581 N}{0.930233 m⁻¹ \cdot 0.5 \cdot 1.225 kg/m³ \cdot {60 m/s}^{2} \cdot 0.6 m \cdot 0.02454 m²}

Calculator

LaTeX

Reset

👍

Download Stick Forces and Hinge Moments Formulas PDF PDF Image

Hinge Moment Coefficient given Stick Force Solution

STEP 0: Pre-Calculation Summary

Formula Used

Hinge Moment Coefficient = Stick Force/(Gearing Ratio*0.5*Density*Flight Velocity^2*Elevator Chord*Elevator Area)
Ch_e = 𝙁/(𝑮*0.5*ρ*V^2*c_e*S_e)
This formula uses 7 Variables

Variables Used

Hinge Moment Coefficient - Hinge Moment Coefficient is the coefficient associated with the hinge moment of the control surface of an aircraft.
Stick Force - (Measured in Newton) - Stick Force is the force exerted on the control column by the pilot of an airplane in flight.
Gearing Ratio - (Measured in 1 per Meter) - Gearing Ratio is a measure of the mechanical advantage provided by the control system 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.
Elevator Area - (Measured in Square Meter) - The Elevator Area is the area of the control surface responsible for providing pitching motion to an aircraft.

STEP 1: Convert Input(s) to Base Unit

Stick Force: 23.25581 Newton --> 23.25581 Newton No Conversion Required
Gearing Ratio: 0.930233 1 per Meter --> 0.930233 1 per Meter 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
Elevator Area: 0.02454 Square Meter --> 0.02454 Square Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

Ch_e = 𝙁/(𝑮*0.5*ρ*V^2*c_e*S_e) --> 23.25581/(0.930233*0.5*1.225*60^2*0.6*0.02454)

Evaluating ... ...

Ch_e = 0.770025887517246

STEP 3: Convert Result to Output's Unit

0.770025887517246 --> No Conversion Required

FINAL ANSWER

0.770025887517246 ≈ 0.770026 <-- Hinge Moment Coefficient

(Calculation completed in 00.020 seconds)

You are here -

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

Credits

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 Sanjay Krishna

Amrita School of Engineering (ASE), Vallikavu

Sanjay Krishna has verified this Calculator and 200+ more calculators!

< Stick Forces and Hinge Moments Calculators

Flight Velocity given Elevator Hinge Moment Coefficient

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

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

Hinge Moment Coefficient given Stick Force Formula

Hinge Moment Coefficient = Stick Force/(Gearing Ratio*0.5*Density*Flight Velocity^2*Elevator Chord*Elevator Area)
Ch_e = 𝙁/(𝑮*0.5*ρ*V^2*c_e*S_e)

Why do aircraft control surfaces need balancing?

When an aircraft is repainted, the balance of the control surfaces must be checked. Any control surface out of balance is unstable and does not remain in a streamlined position during normal flight.

How to Calculate Hinge Moment Coefficient given Stick Force?

Hinge Moment Coefficient given Stick Force calculator uses Hinge Moment Coefficient = Stick Force/(Gearing Ratio*0.5*Density*Flight Velocity^2*Elevator Chord*Elevator Area) to calculate the Hinge Moment Coefficient, Hinge Moment Coefficient given Stick Force Formula is a measure of the rotational force required to rotate an object around a fixed axis, calculated by dividing the stick force by the product of the gearing ratio, density, velocity, elevator chord, and elevator area, providing a critical value for aerodynamic stability and control in aircraft design. Hinge Moment Coefficient is denoted by Ch_e symbol.

How to calculate Hinge Moment Coefficient given Stick Force using this online calculator? To use this online calculator for Hinge Moment Coefficient given Stick Force, enter Stick Force (𝙁), Gearing Ratio (𝑮), Density (ρ), Flight Velocity (V), Elevator Chord (c_e) & Elevator Area (S_e) and hit the calculate button. Here is how the Hinge Moment Coefficient given Stick Force calculation can be explained with given input values -> 0.770026 = 23.25581/(0.930233*0.5*1.225*60^2*0.6*0.02454).

FAQ

What is Hinge Moment Coefficient given Stick Force?

Hinge Moment Coefficient given Stick Force Formula is a measure of the rotational force required to rotate an object around a fixed axis, calculated by dividing the stick force by the product of the gearing ratio, density, velocity, elevator chord, and elevator area, providing a critical value for aerodynamic stability and control in aircraft design and is represented as Ch_e = 𝙁/(𝑮*0.5*ρ*V^2*c_e*S_e) or Hinge Moment Coefficient = Stick Force/(Gearing Ratio*0.5*Density*Flight Velocity^2*Elevator Chord*Elevator Area). Stick Force is the force exerted on the control column by the pilot of an airplane in flight, Gearing Ratio is a measure of the mechanical advantage provided by the control system 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 & The Elevator Area is the area of the control surface responsible for providing pitching motion to an aircraft.

How to calculate Hinge Moment Coefficient given Stick Force?

Hinge Moment Coefficient given Stick Force Formula is a measure of the rotational force required to rotate an object around a fixed axis, calculated by dividing the stick force by the product of the gearing ratio, density, velocity, elevator chord, and elevator area, providing a critical value for aerodynamic stability and control in aircraft design is calculated using Hinge Moment Coefficient = Stick Force/(Gearing Ratio*0.5*Density*Flight Velocity^2*Elevator Chord*Elevator Area). To calculate Hinge Moment Coefficient given Stick Force, you need Stick Force (𝙁), Gearing Ratio (𝑮), Density (ρ), Flight Velocity (V), Elevator Chord (c_e) & Elevator Area (S_e). With our tool, you need to enter the respective value for Stick Force, Gearing Ratio, Density, Flight Velocity, Elevator Chord & Elevator Area 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 Hinge Moment Coefficient?

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

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

Home

FREE PDFs

🔍 Search