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Lift Force given Lift Coefficient of Blade Formula

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

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

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

Lift Force given Lift Coefficient of Blade Example

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Here is how the Lift Force given Lift Coefficient of Blade equation looks like with Values.

Here is how the Lift Force given Lift Coefficient of Blade equation looks like with Units.

Here is how the Lift Force given Lift Coefficient of Blade equation looks like.

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

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

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

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Lift Force given Lift Coefficient of Blade Solution

Follow our step by step solution on how to calculate Lift Force given Lift Coefficient of Blade?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

L = 0.6 \cdot 0.5 \cdot 1.225kg/m³ \cdot π \cdot {7m}^{2} \cdot {0.1682m/s}^{2}

Next Step Substitute values of Constants

∴

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

Next Step Prepare to Evaluate

∴

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

Next Step Evaluate

∴

L = 1.59998473504026N

LAST Step Rounding Answer

∴

L = 1.6N

Lift Force given Lift Coefficient of Blade Formula Elements

Variables

Constants

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

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

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 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 Force given Lift Coefficient of Blade?

Lift Force given Lift Coefficient of Blade evaluator uses Lift Force = Lift Coefficient of Blade of Wind Rotor*0.5*Density of air VC*pi*Rotor Radius^2*Free Stream Wind Speed^2 to evaluate the Lift Force, The Lift Force given Lift Coefficient of Blade is the sum of all the forces on a body that force it to move perpendicular to the direction of flow and arises due to the unequal pressure on the two surfaces of the blade. Lift Force is denoted by L symbol.

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

FAQs on Lift Force given Lift Coefficient of Blade

What is the formula to find Lift Force given Lift Coefficient of Blade?

The formula of Lift Force given Lift Coefficient of Blade is expressed as Lift Force = Lift Coefficient of Blade of Wind Rotor*0.5*Density of air VC*pi*Rotor Radius^2*Free Stream Wind Speed^2. Here is an example- 1.595417 = 0.6*0.5*1.225*pi*7^2*0.168173^2.

How to calculate Lift Force given Lift Coefficient of Blade?

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

Can the Lift Force given Lift Coefficient of Blade be negative?

No, the Lift Force given Lift Coefficient of Blade, measured in Force cannot be negative.

Which unit is used to measure Lift Force given Lift Coefficient of Blade?

Lift Force given Lift Coefficient of Blade is usually measured using the Newton[N] for Force. Exanewton[N], Meganewton[N], Kilonewton[N] are the few other units in which Lift Force given Lift Coefficient of Blade can be measured.

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Lift Force given Lift Coefficient of Blade Formula

Lift Force given Lift Coefficient of Blade Example

Lift Force given Lift Coefficient of Blade Solution

Lift Force given Lift Coefficient of Blade Formula Elements

Other formulas in Other Renewable Energy Sources category

How to Evaluate Lift Force given Lift Coefficient of Blade?

FAQs on Lift Force given Lift Coefficient of Blade

Variable Name