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Rolling Moment Formula

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Rolling Moment is the moment acting on the airplane about its roll axis. Check FAQs

𝑳 = C 𝒍 \cdot q \cdot S \cdot 𝓁

𝑳 - Rolling Moment?C_𝒍 - Rolling Moment Coefficient?q - Dynamic Pressure?S - Reference Area?𝓁 - Characteristic Length?

Rolling Moment Example

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With units

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Here is how the Rolling Moment equation looks like with Values.

Here is how the Rolling Moment equation looks like with Units.

Here is how the Rolling Moment equation looks like.

18.5928 = 0.61 \cdot 10 \cdot 5.08 \cdot 0.6

18.5928N*m = 0.61 \cdot 10Pa \cdot 5.08m² \cdot 0.6m

18.5928 = 0.61 \cdot 10 \cdot 5.08 \cdot 0.6

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Rolling Moment Solution

Follow our step by step solution on how to calculate Rolling Moment?

FIRST Step Consider the formula

𝑳 = C 𝒍 \cdot q \cdot S \cdot 𝓁

Next Step Substitute values of Variables

∴

𝑳 = 0.61 \cdot 10Pa \cdot 5.08m² \cdot 0.6m

Next Step Prepare to Evaluate

∴

𝑳 = 0.61 \cdot 10 \cdot 5.08 \cdot 0.6

LAST Step Evaluate

∴

𝑳 = 18.5928N*m

Rolling Moment Formula Elements

Variables

Rolling Moment

Rolling Moment is the moment acting on the airplane about its roll axis.

Symbol: 𝑳

Measurement: Moment of ForceUnit: N*m

Note: Value can be positive or negative.

Formulas to find Rolling Moment

Rolling Moment Coefficient

Rolling Moment Coefficient is the coefficient associated with the moment that tends to rotate an airplane about its roll axis.

Symbol: C_𝒍

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Rolling Moment Coefficient

Dynamic Pressure

Dynamic Pressure is simply a convenient name for the quantity which represents the decrease in the pressure due to the velocity of the fluid.

Symbol: q

Measurement: PressureUnit: Pa

Note: Value should be greater than 0.

Formulas to find Dynamic Pressure

Reference Area

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.

Symbol: S

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Reference Area

Characteristic Length

Characteristic Length (used in aerodynamics) is a reference length characteristic of the object under consideration.

Symbol: 𝓁

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Characteristic Length

Other formulas in Aircraft Dynamics Nomenclature category

Go Aerodynamic Axial Force

X = C x \cdot q \cdot S

Go Aerodynamic Side Force

Y = C y \cdot q \cdot S

Go Aerodynamic Normal Force

Z = C z \cdot q \cdot S

Go Side force coefficient

C y = \frac{Y}{q \cdot S}

How to Evaluate Rolling Moment?

Rolling Moment evaluator uses Rolling Moment = Rolling Moment Coefficient*Dynamic Pressure*Reference Area*Characteristic Length to evaluate 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 evaluate Rolling Moment using this online evaluator? To use this online evaluator for Rolling Moment, enter Rolling Moment Coefficient (C_𝒍), Dynamic Pressure (q), Reference Area (S) & Characteristic Length (𝓁) and hit the calculate button.

FAQs on Rolling Moment

What is the formula to find Rolling Moment?

The formula of Rolling Moment is expressed as Rolling Moment = Rolling Moment Coefficient*Dynamic Pressure*Reference Area*Characteristic Length. Here is an example- 18.5928 = 0.61*10*5.08*0.6.

How to calculate Rolling Moment?

With Rolling Moment Coefficient (C_𝒍), Dynamic Pressure (q), Reference Area (S) & Characteristic Length (𝓁) we can find Rolling Moment using the formula - Rolling Moment = Rolling Moment Coefficient*Dynamic Pressure*Reference Area*Characteristic Length.

Can the Rolling Moment be negative?

Yes, the Rolling Moment, measured in Moment of Force can be negative.

Which unit is used to measure Rolling Moment?

Rolling Moment is usually measured using the Newton Meter[N*m] for Moment of Force. Kilonewton Meter[N*m], Millinewton Meter[N*m], Micronewton Meter[N*m] are the few other units in which Rolling Moment can be measured.

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Rolling Moment Formula

Rolling Moment Example

Rolling Moment Solution

Rolling Moment Formula Elements

Other formulas in Aircraft Dynamics Nomenclature category

How to Evaluate Rolling Moment?

FAQs on Rolling Moment

Variable Name