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Rolling moment coefficient Formula

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

C 𝒍 = \frac{𝑳}{q \cdot S \cdot 𝓁}

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

Rolling moment coefficient Example

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Here is how the Rolling moment coefficient equation looks like with Values.

Here is how the Rolling moment coefficient equation looks like with Units.

Here is how the Rolling moment coefficient equation looks like.

0.61 = \frac{18.5928}{10 \cdot 5.08 \cdot 0.6}

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

0.61 = \frac{18.5928}{10 \cdot 5.08 \cdot 0.6}

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Rolling moment coefficient Solution

Follow our step by step solution on how to calculate Rolling moment coefficient?

FIRST Step Consider the formula

C 𝒍 = \frac{𝑳}{q \cdot S \cdot 𝓁}

Next Step Substitute values of Variables

∴

C 𝒍 = \frac{18.5928N*m}{10Pa \cdot 5.08m² \cdot 0.6m}

Next Step Prepare to Evaluate

∴

C 𝒍 = \frac{18.5928}{10 \cdot 5.08 \cdot 0.6}

LAST Step Evaluate

∴

C 𝒍 = 0.61

Rolling moment coefficient Formula Elements

Variables

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

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

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 coefficient?

Rolling moment coefficient evaluator uses Rolling Moment Coefficient = Rolling Moment/(Dynamic Pressure*Reference Area*Characteristic Length) to evaluate the Rolling Moment Coefficient, The Rolling moment coefficient is a measure of the rotational force that causes an object to rotate around a longitudinal axis, typically used to describe the aerodynamic characteristics of an airfoil or wing, it represents the relationship between the force of the rotating air and the physical properties of the wing, providing valuable insights for aircraft design and stability analysis. Rolling Moment Coefficient is denoted by C_𝒍 symbol.

How to evaluate Rolling moment coefficient using this online evaluator? To use this online evaluator for Rolling moment coefficient, enter Rolling Moment (𝑳), Dynamic Pressure (q), Reference Area (S) & Characteristic Length (𝓁) and hit the calculate button.

FAQs on Rolling moment coefficient

What is the formula to find Rolling moment coefficient?

The formula of Rolling moment coefficient is expressed as Rolling Moment Coefficient = Rolling Moment/(Dynamic Pressure*Reference Area*Characteristic Length). Here is an example- 0.606955 = 18.5928/(10*5.08*0.6).

How to calculate Rolling moment coefficient?

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

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Rolling moment coefficient Formula

Rolling moment coefficient Example

Rolling moment coefficient Solution

Rolling moment coefficient Formula Elements

Other formulas in Aircraft Dynamics Nomenclature category

How to Evaluate Rolling moment coefficient?

FAQs on Rolling moment coefficient

Variable Name