Rolling Moment Calculator

✖Rolling Moment Coefficient is the coefficient associated with the moment that tends to rotate an airplane about its roll axis.ⓘ Rolling Moment Coefficient [C_𝒍]			+10% -10%
✖Dynamic Pressure is simply a convenient name for the quantity which represents the decrease in the pressure due to the velocity of the fluid.ⓘ Dynamic Pressure [q]			+10% -10%
✖The Reference Area is arbitrarily an area that is characteristic of the object being considered. For an aircraft wing, the wing's planform area is called the reference wing area or simply wing area.ⓘ Reference Area [S]			+10% -10%
✖Characteristic Length (used in aerodynamics) is a reference length characteristic of the object under consideration.ⓘ Characteristic Length [𝓁]			+10% -10%

✖Rolling Moment is the moment acting on the airplane about its roll axis.ⓘ Rolling Moment [𝑳]

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Rolling Moment Solution

STEP 0: Pre-Calculation Summary

Formula Used

Rolling Moment = Rolling Moment Coefficient*Dynamic Pressure*Reference Area*Characteristic Length
𝑳 = C_𝒍*q*S*𝓁
This formula uses 5 Variables

Variables Used

Rolling Moment - (Measured in Newton Meter) - Rolling Moment is the moment acting on the airplane about its roll axis.
Rolling Moment Coefficient - Rolling Moment Coefficient is the coefficient associated with the moment that tends to rotate an airplane about its roll axis.
Dynamic Pressure - (Measured in Pascal) - Dynamic Pressure is simply a convenient name for the quantity which represents the decrease in the pressure due to the velocity of the fluid.
Reference Area - (Measured in Square Meter) - The Reference Area is arbitrarily an area that is characteristic of the object being considered. For an aircraft wing, the wing's planform area is called the reference wing area or simply wing area.
Characteristic Length - (Measured in Meter) - Characteristic Length (used in aerodynamics) is a reference length characteristic of the object under consideration.

STEP 1: Convert Input(s) to Base Unit

Rolling Moment Coefficient: 0.61 --> No Conversion Required
Dynamic Pressure: 10 Pascal --> 10 Pascal No Conversion Required
Reference Area: 5.08 Square Meter --> 5.08 Square Meter No Conversion Required
Characteristic Length: 0.6 Meter --> 0.6 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

𝑳 = C_𝒍*q*S*𝓁 --> 0.61*10*5.08*0.6

Evaluating ... ...

𝑳 = 18.5928

STEP 3: Convert Result to Output's Unit

18.5928 Newton Meter --> No Conversion Required

FINAL ANSWER

18.5928 Newton Meter <-- Rolling Moment

(Calculation completed in 00.004 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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< Aircraft Dynamics Nomenclature Calculators

Aerodynamic Normal Force

LaTeX Go Aerodynamic Normal Force = Normal Force Coefficient*Dynamic Pressure*Reference Area

Aerodynamic Axial Force

LaTeX Go Aerodynamic Axial Force = Axial Force Coefficient*Dynamic Pressure*Reference Area

Side force coefficient

LaTeX Go Side Force Coefficient = Aerodynamic Side Force/(Dynamic Pressure*Reference Area)

Aerodynamic Side Force

LaTeX Go Aerodynamic Side Force = Side Force Coefficient*Dynamic Pressure*Reference Area

Rolling Moment Formula

LaTeX Go

Rolling Moment = Rolling Moment Coefficient*Dynamic Pressure*Reference Area*Characteristic Length
𝑳 = C_𝒍*q*S*𝓁

What is the characteristic length for calculating rolling moment?

Characteristic length is taken as the wing span for the rolling moment of an aircraft. The wingspan of an aircraft is always measured in a straight line, from wingtip to wingtip, independently of wing shape or sweep.

How to Calculate Rolling Moment?

Rolling Moment calculator uses Rolling Moment = Rolling Moment Coefficient*Dynamic Pressure*Reference Area*Characteristic Length to calculate the Rolling Moment, The Rolling Moment is a measure of the turning force that causes an object to rotate around a pivot point, resulting from the interaction between the object and a fluid, such as air or water, and is a critical concept in aerodynamics, hydrodynamics, and engineering, it is used to analyze and predict the behavior of aircraft, ships, and other objects in motion. Rolling Moment is denoted by 𝑳 symbol.

How to calculate Rolling Moment using this online calculator? To use this online calculator for Rolling Moment, enter Rolling Moment Coefficient (C_𝒍), Dynamic Pressure (q), Reference Area (S) & Characteristic Length (𝓁) and hit the calculate button. Here is how the Rolling Moment calculation can be explained with given input values -> 18.5928 = 0.61*10*5.08*0.6.

FAQ

What is Rolling Moment?

The Rolling Moment is a measure of the turning force that causes an object to rotate around a pivot point, resulting from the interaction between the object and a fluid, such as air or water, and is a critical concept in aerodynamics, hydrodynamics, and engineering, it is used to analyze and predict the behavior of aircraft, ships, and other objects in motion and is represented as 𝑳 = C_𝒍*q*S*𝓁 or Rolling Moment = Rolling Moment Coefficient*Dynamic Pressure*Reference Area*Characteristic Length. Rolling Moment Coefficient is the coefficient associated with the moment that tends to rotate an airplane about its roll axis, Dynamic Pressure is simply a convenient name for the quantity which represents the decrease in the pressure due to the velocity of the fluid, The Reference Area is arbitrarily an area that is characteristic of the object being considered. For an aircraft wing, the wing's planform area is called the reference wing area or simply wing area & Characteristic Length (used in aerodynamics) is a reference length characteristic of the object under consideration.

How to calculate Rolling Moment?

The Rolling Moment is a measure of the turning force that causes an object to rotate around a pivot point, resulting from the interaction between the object and a fluid, such as air or water, and is a critical concept in aerodynamics, hydrodynamics, and engineering, it is used to analyze and predict the behavior of aircraft, ships, and other objects in motion is calculated using Rolling Moment = Rolling Moment Coefficient*Dynamic Pressure*Reference Area*Characteristic Length. To calculate Rolling Moment, you need Rolling Moment Coefficient (C_𝒍), Dynamic Pressure (q), Reference Area (S) & Characteristic Length (𝓁). With our tool, you need to enter the respective value for Rolling Moment Coefficient, Dynamic Pressure, Reference Area & Characteristic Length and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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