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Lift Coefficient of Blade of Wind Rotor Formula

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Lift Coefficient of Blade of Wind Rotor is a dimensionless quantity that characterizes the lift forces on a wind turbine blade in a wind rotor system. Check FAQs

C L = \frac{L}{0.5 \cdot ρ vc \cdot π \cdot R^{2} \cdot {V ∞}^{2}}

C_L - Lift Coefficient of Blade of Wind Rotor?L - Lift Force?ρ_vc - Density of air VC?R - Rotor Radius?V_∞ - Free Stream Wind Speed?π - Archimedes' constant?

Lift Coefficient of Blade of Wind Rotor Example

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Here is how the Lift Coefficient of Blade of Wind Rotor equation looks like with Values.

Here is how the Lift Coefficient of Blade of Wind Rotor equation looks like with Units.

Here is how the Lift Coefficient of Blade of Wind Rotor equation looks like.

0.6 = \frac{1.6}{0.5 \cdot 1.225 \cdot 3.1416 \cdot 7^{2} \cdot {0.1682}^{2}}

0.6 = \frac{1.6N}{0.5 \cdot 1.225kg/m³ \cdot 3.1416 \cdot {7m}^{2} \cdot {0.1682m/s}^{2}}

0.6 = \frac{1.6}{0.5 \cdot 1.225 \cdot 3.1416 \cdot 7^{2} \cdot {0.1682}^{2}}

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Lift Coefficient of Blade of Wind Rotor Solution

Follow our step by step solution on how to calculate Lift Coefficient of Blade of Wind Rotor?

FIRST Step Consider the formula

C L = \frac{L}{0.5 \cdot ρ vc \cdot π \cdot R^{2} \cdot {V ∞}^{2}}

Next Step Substitute values of Variables

∴

C L = \frac{1.6N}{0.5 \cdot 1.225kg/m³ \cdot π \cdot {7m}^{2} \cdot {0.1682m/s}^{2}}

Next Step Substitute values of Constants

∴

C L = \frac{1.6N}{0.5 \cdot 1.225kg/m³ \cdot 3.1416 \cdot {7m}^{2} \cdot {0.1682m/s}^{2}}

Next Step Prepare to Evaluate

∴

C L = \frac{1.6}{0.5 \cdot 1.225 \cdot 3.1416 \cdot 7^{2} \cdot {0.1682}^{2}}

Next Step Evaluate

∴

C L = 0.600007224428828

LAST Step Rounding Answer

∴

C L = 0.6

Lift Coefficient of Blade of Wind Rotor Formula Elements

Variables

Constants

Lift Coefficient of Blade of Wind Rotor

Lift Coefficient of Blade of Wind Rotor is a dimensionless quantity that characterizes the lift forces on a wind turbine blade in a wind rotor system.

Symbol: C_L

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Lift Coefficient of Blade of Wind Rotor

Lift Force

Lift Force is the upward force exerted on an object, such as a wind turbine blade, as it moves through the air or water.

Symbol: L

Measurement: ForceUnit: N

Note: Value should be greater than 0.

Formulas to find Lift Force

Density of air VC

Density of air VC is the mass of air per unit volume, typically measured in kilograms per cubic meter.

Symbol: ρ_vc

Measurement: DensityUnit: kg/m³

Note: Value should be greater than 0.

Formulas to find Density of air VC

Rotor Radius

Rotor Radius is the distance from the axis of rotation to the tip of the blade in a rotor.

Symbol: R

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Rotor Radius

Free Stream Wind Speed

Free Stream Wind Speed is the speed of wind that occurs naturally in the atmosphere, unaffected by any obstacles or wind turbines.

Symbol: V_∞

Measurement: SpeedUnit: m/s

Note: Value should be greater than 0.

Formulas to find Free Stream Wind Speed

Archimedes' constant

Archimedes' constant is a mathematical constant that represents the ratio of the circumference of a circle to its diameter.

Symbol: π

Value: 3.14159265358979323846264338327950288

Other formulas in Other Renewable Energy Sources category

Go Power Coefficient of Wind Machine

C p = \frac{P e}{0.5 \cdot ρ \cdot π \cdot R^{2} \cdot {V ∞}^{3}}

Go Power Extracted by Rotor given Power Coefficient of Wind Machine

P e = C p \cdot (0.5 \cdot ρ \cdot π \cdot (R^{2}) \cdot {V ∞}^{3})

Go Lift Force given Lift Coefficient of Blade

L = C L \cdot 0.5 \cdot ρ vc \cdot π \cdot R^{2} \cdot {V ∞}^{2}

Go Drag Coefficient of Blade of Wind Rotor

C D = \frac{F D}{0.5 \cdot ρ vc \cdot π \cdot R^{2} \cdot {V ∞}^{2}}

How to Evaluate Lift Coefficient of Blade of Wind Rotor?

Lift Coefficient of Blade of Wind Rotor evaluator uses Lift Coefficient of Blade of Wind Rotor = Lift Force/(0.5*Density of air VC*pi*Rotor Radius^2*Free Stream Wind Speed^2) to evaluate the Lift Coefficient of Blade of Wind Rotor, The Lift Coefficient of Blade of Wind Rotor is defined as the ratio of the lift force on the blade to the force of the free stream wind. Lift Coefficient of Blade of Wind Rotor is denoted by C_L symbol.

How to evaluate Lift Coefficient of Blade of Wind Rotor using this online evaluator? To use this online evaluator for Lift Coefficient of Blade of Wind Rotor, enter Lift Force (L), Density of air VC (ρ_vc), Rotor Radius (R) & Free Stream Wind Speed (V_∞) and hit the calculate button.

FAQs on Lift Coefficient of Blade of Wind Rotor

What is the formula to find Lift Coefficient of Blade of Wind Rotor?

The formula of Lift Coefficient of Blade of Wind Rotor is expressed as Lift Coefficient of Blade of Wind Rotor = Lift Force/(0.5*Density of air VC*pi*Rotor Radius^2*Free Stream Wind Speed^2). Here is an example- 0.601725 = 1.600004/(0.5*1.225*pi*7^2*0.168173^2).

How to calculate Lift Coefficient of Blade of Wind Rotor?

With Lift Force (L), Density of air VC (ρ_vc), Rotor Radius (R) & Free Stream Wind Speed (V_∞) we can find Lift Coefficient of Blade of Wind Rotor using the formula - Lift Coefficient of Blade of Wind Rotor = Lift Force/(0.5*Density of air VC*pi*Rotor Radius^2*Free Stream Wind Speed^2). This formula also uses Archimedes' constant .

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Lift Coefficient of Blade of Wind Rotor Formula

Lift Coefficient of Blade of Wind Rotor Example

Lift Coefficient of Blade of Wind Rotor Solution

Lift Coefficient of Blade of Wind Rotor Formula Elements

Other formulas in Other Renewable Energy Sources category

How to Evaluate Lift Coefficient of Blade of Wind Rotor?

FAQs on Lift Coefficient of Blade of Wind Rotor

Variable Name