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 = CL*0.5*ρvc*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) - The lift force, lifting force or simply lift is the sum of all the forces on a body that force it to move perpendicular to the direction of flow.
Lift Coefficient of Blade of Wind Rotor - Lift Coefficient of Blade of Wind Rotor is the ratio of the lift force on the blade to the force of the free stream wind.
Density of air VC - (Measured in Kilogram per Cubic Meter) - Density of air VC is air density at normal condition.
Rotor Radius - (Measured in Meter) - Rotor Radius is the radius of rotation of the rotor.
Free Stream Wind Speed - (Measured in Meter per Second) - Free Stream Wind Speed is the velocity of the free stream which is the air far upstream of an aerodynamic body i.e. before the body has a chance to deflect, slow down or compress the air.
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: 10 Meter per Second --> 10 Meter per Second No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
L = CL*0.5*ρvc*pi*R^2*V^2 --> 0.6*0.5*1.225*pi*7^2*10^2
Evaluating ... ...
L = 5657.22297095182
STEP 3: Convert Result to Output's Unit
5657.22297095182 Newton --> No Conversion Required
FINAL ANSWER
5657.22297095182 5657.223 Newton <-- Lift Force
(Calculation completed in 00.004 seconds)

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Free Stream Wind Speed given Drag Coefficient
Go Free Stream Wind Speed = sqrt(Drag Force/(0.5*Density of air VC*pi*Rotor Radius^2*Drag Coefficient))
Power Extracted by Rotor given Power Coefficient of Wind Machine
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
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
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
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
Drag Coefficient of Blade of Wind Rotor
Go Drag Coefficient = Drag Force/(0.5*Density of air VC*pi*Rotor Radius^2*Free Stream Wind Speed^2)
Solidity of Wind Machine
Go Solidity of Wind Machine = (Number of Blades in Wind turbine*Mean Chord of Blades)/(pi*Rotor Radius)
Number of Blades of Wind Turbine given Solidity of Wind Turbine
Go Number of Blades in Wind turbine = (Solidity of Wind Machine*pi*Rotor Radius)/Mean Chord of Blades
Mean Chord of Blades given Solidity of Wind Machine
Go Mean Chord of Blades = (Solidity of Wind Machine*pi*Rotor Radius)/Number of Blades in Wind turbine
Angular Velocity of Rotor given Tip Speed Ratio
Go Angular Velocity of Rotor = (Tip Speed Ratio*Free Stream Wind Speed)/Rotor Radius
Rotor Radius given Tip Speed Ratio
Go Rotor Radius = (Tip Speed Ratio*Free Stream Wind Speed)/Angular Velocity of Rotor
Tip Speed Ratio
Go Tip Speed Ratio = (Angular Velocity of Rotor*Rotor Radius)/Free Stream Wind Speed

Lift Force given Lift Coefficient of Blade 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
L = CL*0.5*ρvc*pi*R^2*V^2

What is lift type wind turbine?

Lift-based wind turbines typically have lifting surfaces moving perpendicular to the flow. Here, the relative wind does not decrease; rather, it increases with rotor speed. Thus, the maximum power limits of these machines are much higher than those of drag-based machines.

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 (CL), Density of air VC 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 -> 5657.223 = 0.6*0.5*1.225*pi*7^2*10^2.

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 = CL*0.5*ρvc*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 the ratio of the lift force on the blade to the force of the free stream wind, Density of air VC is air density at normal condition, Rotor Radius is the radius of rotation of the rotor & Free Stream Wind Speed is the velocity of the free stream which is the air far upstream of an aerodynamic body i.e. before the body has a chance to deflect, slow down or compress the air.
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 (CL), Density of air VC 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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