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Lift Force given Lift Coefficient of Blade Calculator

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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.ⓘ Lift Coefficient of Blade of Wind Rotor [C_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 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 given Lift Coefficient of Blade [L]

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Lift Force given Lift Coefficient of Blade Solution

STEP 0: Pre-Calculation Summary

Formula Used

Lift Force = Lift Coefficient of Blade of Wind Rotor*0.5*Density of air VC*pi*Rotor Radius^2*Free Stream Wind Speed^2
L = C_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 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.
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.
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 Coefficient of Blade of Wind Rotor: 0.6 --> 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

L = C_L*0.5*ρ_vc*pi*R^2*V_∞^2 --> 0.6*0.5*1.225*pi*7^2*0.168173^2

Evaluating ... ...

L = 1.59998473504026

STEP 3: Convert Result to Output's Unit

1.59998473504026 Newton --> No Conversion Required

FINAL ANSWER

1.59998473504026 ≈ 1.599985 Newton <-- Lift Force

(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 Force given Lift Coefficient of Blade Formula

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
L = C_L*0.5*ρ_vc*pi*R^2*V_∞^2

What is Lift Force?

Lift Force is the upward force that acts perpendicular to the direction of fluid flow around an object, like an airplane wing or turbine blade. It is generated by differences in pressure across the object due to its shape and angle relative to the flow. Lift force enables aircraft to overcome gravity and stay airborne and helps wind turbine blades to rotate by harnessing wind energy efficiently.

How to Calculate Lift Force given Lift Coefficient of Blade?

Lift Force given Lift Coefficient of Blade calculator 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 calculate 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 calculate Lift Force given Lift Coefficient of Blade using this online calculator? To use this online calculator 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. Here is how the Lift Force given Lift Coefficient of Blade calculation can be explained with given input values -> 1.595417 = 0.6*0.5*1.225*pi*7^2*0.168173^2.

FAQ

What is Lift Force given Lift Coefficient of Blade?

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 and is represented as L = C_L*0.5*ρ_vc*pi*R^2*V_∞^2 or 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 is a dimensionless quantity that characterizes the lift forces on a wind turbine blade in a wind rotor system, 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 Force given Lift Coefficient of Blade?

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 is calculated using 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 calculate Lift Force given Lift Coefficient of Blade, you need Lift Coefficient of Blade of Wind Rotor (C_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 Coefficient of Blade of Wind Rotor, 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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