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Drag Coefficient of Blade of Wind Rotor Formula

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Drag Coefficient is a dimensionless quantity used to quantify the drag force experienced by an object in a fluid environment. Check FAQs

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

C_D - Drag Coefficient?F_D - Drag Force?ρ_vc - Density of air VC?R - Rotor Radius?V_∞ - Free Stream Wind Speed?π - Archimedes' constant?

Drag Coefficient of Blade of Wind Rotor Example

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

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

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

30.0003 = \frac{80}{0.5 \cdot 1.225 \cdot 3.1416 \cdot 7^{2} \cdot {0.1682}^{2}}

30.0003 = \frac{80N}{0.5 \cdot 1.225kg/m³ \cdot 3.1416 \cdot {7m}^{2} \cdot {0.1682m/s}^{2}}

30.0003 = \frac{80}{0.5 \cdot 1.225 \cdot 3.1416 \cdot 7^{2} \cdot {0.1682}^{2}}

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Drag Coefficient of Blade of Wind Rotor Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

C D = \frac{80N}{0.5 \cdot 1.225kg/m³ \cdot π \cdot {7m}^{2} \cdot {0.1682m/s}^{2}}

Next Step Substitute values of Constants

∴

C D = \frac{80N}{0.5 \cdot 1.225kg/m³ \cdot 3.1416 \cdot {7m}^{2} \cdot {0.1682m/s}^{2}}

Next Step Prepare to Evaluate

∴

C D = \frac{80}{0.5 \cdot 1.225 \cdot 3.1416 \cdot 7^{2} \cdot {0.1682}^{2}}

Next Step Evaluate

∴

C D = 30.0002862207259

LAST Step Rounding Answer

∴

C D = 30.0003

Drag Coefficient of Blade of Wind Rotor Formula Elements

Variables

Constants

Drag Coefficient

Drag Coefficient is a dimensionless quantity used to quantify the drag force experienced by an object in a fluid environment.

Symbol: C_D

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Drag Coefficient

Drag Force

Drag Force is the resistance force exerted on an object moving through a fluid, such as air or water.

Symbol: F_D

Measurement: ForceUnit: N

Note: Value can be positive or negative.

Formulas to find Drag 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 Coefficient of Blade of Wind Rotor

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

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}

How to Evaluate Drag Coefficient of Blade of Wind Rotor?

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

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

FAQs on Drag Coefficient of Blade of Wind Rotor

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

The formula of Drag Coefficient of Blade of Wind Rotor is expressed as Drag Coefficient = Drag Force/(0.5*Density of air VC*pi*Rotor Radius^2*Free Stream Wind Speed^2). Here is an example- 30.08619 = 80/(0.5*1.225*pi*7^2*0.168173^2).

How to calculate Drag Coefficient of Blade of Wind Rotor?

With Drag Force (F_D), Density of air VC (ρ_vc), Rotor Radius (R) & Free Stream Wind Speed (V_∞) we can find Drag Coefficient of Blade of Wind Rotor using the formula - Drag Coefficient = Drag 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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Drag Coefficient of Blade of Wind Rotor Formula

Drag Coefficient of Blade of Wind Rotor Example

Drag Coefficient of Blade of Wind Rotor Solution

Drag Coefficient of Blade of Wind Rotor Formula Elements

Other formulas in Other Renewable Energy Sources category

How to Evaluate Drag Coefficient of Blade of Wind Rotor?

FAQs on Drag Coefficient of Blade of Wind Rotor

Variable Name