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Lift Coefficient of Blade of Wind Rotor Calculator

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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.ⓘ Lift Force [L]			+10% -10%
✖Density of air VC is the mass of air per unit volume, typically measured in kilograms per cubic meter.ⓘ Density of air VC [ρ_vc]			+10% -10%
✖Rotor Radius is the distance from the axis of rotation to the tip of the blade in a rotor.ⓘ Rotor Radius [R]			+10% -10%
✖Free Stream Wind Speed is the speed of wind that occurs naturally in the atmosphere, unaffected by any obstacles or wind turbines.ⓘ Free Stream Wind Speed [V_∞]			+10% -10%

✖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.ⓘ Lift Coefficient of Blade of Wind Rotor [C_L]

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Lift Coefficient of Blade of Wind Rotor Solution

STEP 0: Pre-Calculation Summary

Formula Used

Lift Coefficient of Blade of Wind Rotor = Lift Force/(0.5*Density of air VC*pi*Rotor Radius^2*Free Stream Wind Speed^2)
C_L = L/(0.5*ρ_vc*pi*R^2*V_∞^2)
This formula uses 1 Constants, 5 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

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.
Lift Force - (Measured in Newton) - Lift Force is the upward force exerted on an object, such as a wind turbine blade, as it moves through the air or water.
Density of air VC - (Measured in Kilogram per Cubic Meter) - Density of air VC is the mass of air per unit volume, typically measured in kilograms per cubic meter.
Rotor Radius - (Measured in Meter) - Rotor Radius is the distance from the axis of rotation to the tip of the blade in a rotor.
Free Stream Wind Speed - (Measured in Meter per Second) - Free Stream Wind Speed is the speed of wind that occurs naturally in the atmosphere, unaffected by any obstacles or wind turbines.

STEP 1: Convert Input(s) to Base Unit

Lift Force: 1.600004 Newton --> 1.600004 Newton No Conversion Required
Density of air VC: 1.225 Kilogram per Cubic Meter --> 1.225 Kilogram per Cubic Meter No Conversion Required
Rotor Radius: 7 Meter --> 7 Meter No Conversion Required
Free Stream Wind Speed: 0.168173 Meter per Second --> 0.168173 Meter per Second No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

C_L = L/(0.5*ρ_vc*pi*R^2*V_∞^2) --> 1.600004/(0.5*1.225*pi*7^2*0.168173^2)

Evaluating ... ...

C_L = 0.600007224428828

STEP 3: Convert Result to Output's Unit

0.600007224428828 --> No Conversion Required

FINAL ANSWER

0.600007224428828 ≈ 0.600007 <-- Lift Coefficient of Blade of Wind Rotor

(Calculation completed in 00.020 seconds)

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Power Extracted by Rotor given Power Coefficient of Wind Machine

LaTeX Go Power Extracted by Rotor = Power Coefficient of Wind Machine*(0.5*Density of Air*pi*(Rotor Radius^2)*Free Stream Wind Speed^3)

Power Coefficient of Wind Machine

LaTeX Go Power Coefficient of Wind Machine = Power Extracted by Rotor/(0.5*Density of Air*pi*Rotor Radius^2*Free Stream Wind Speed^3)

Lift Coefficient of Blade of Wind Rotor

LaTeX Go Lift Coefficient of Blade of Wind Rotor = Lift Force/(0.5*Density of air VC*pi*Rotor Radius^2*Free Stream Wind Speed^2)

Lift Force given Lift Coefficient of Blade

LaTeX Go Lift Force = Lift Coefficient of Blade of Wind Rotor*0.5*Density of air VC*pi*Rotor Radius^2*Free Stream Wind Speed^2

Lift Coefficient of Blade of Wind Rotor Formula

LaTeX Go

Lift Coefficient of Blade of Wind Rotor = Lift Force/(0.5*Density of air VC*pi*Rotor Radius^2*Free Stream Wind Speed^2)
C_L = L/(0.5*ρ_vc*pi*R^2*V_∞^2)

What is Lift Coefficient?

The Lift Coefficient (Cl) is a dimensionless factor that describes the lift force generated by an object, like an airfoil or wing, as it moves through a fluid, relative to its surface area and the fluid’s dynamic pressure. It depends on the shape, angle of attack, and surface smoothness of the object, and is essential in analyzing the efficiency of wings and blades in generating lift for applications in aviation and wind energy.

How to Calculate Lift Coefficient of Blade of Wind Rotor?

Lift Coefficient of Blade of Wind Rotor calculator 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 calculate 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 calculate Lift Coefficient of Blade of Wind Rotor using this online calculator? To use this online calculator 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. Here is how the Lift Coefficient of Blade of Wind Rotor calculation can be explained with given input values -> 0.601725 = 1.600004/(0.5*1.225*pi*7^2*0.168173^2).

FAQ

What is 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 and is represented as C_L = L/(0.5*ρ_vc*pi*R^2*V_∞^2) or Lift Coefficient of Blade of Wind Rotor = Lift Force/(0.5*Density of air VC*pi*Rotor Radius^2*Free Stream Wind Speed^2). Lift Force is the upward force exerted on an object, such as a wind turbine blade, as it moves through the air or water, Density of air VC is the mass of air per unit volume, typically measured in kilograms per cubic meter, Rotor Radius is the distance from the axis of rotation to the tip of the blade in a rotor & Free Stream Wind Speed is the speed of wind that occurs naturally in the atmosphere, unaffected by any obstacles or wind turbines.

How to calculate 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 is calculated using 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 calculate Lift Coefficient of Blade of Wind Rotor, you need Lift Force (L), Density of air VC (ρ_vc), Rotor Radius (R) & Free Stream Wind Speed (V_∞). With our tool, you need to enter the respective value for Lift Force, Density of air VC, Rotor Radius & Free Stream Wind Speed and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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