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Free Stream Wind Speed given Drag Coefficient Calculator

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✖Drag Force is the resistance force exerted on an object moving through a fluid, such as air or water.ⓘ Drag Force [F_D]			+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%
✖Drag Coefficient is a dimensionless quantity used to quantify the drag force experienced by an object in a fluid environment.ⓘ Drag Coefficient [C_D]			+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 given Drag Coefficient [V_∞]

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Free Stream Wind Speed given Drag Coefficient Solution

STEP 0: Pre-Calculation Summary

Formula Used

Free Stream Wind Speed = sqrt(Drag Force/(0.5*Density of air VC*pi*Rotor Radius^2*Drag Coefficient))
V_∞ = sqrt(F_D/(0.5*ρ_vc*pi*R^2*C_D))
This formula uses 1 Constants, 1 Functions, 5 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Functions Used

sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)

Variables Used

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.
Drag Force - (Measured in Newton) - Drag Force is the resistance force exerted on an object moving through a fluid, such as 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.
Drag Coefficient - Drag Coefficient is a dimensionless quantity used to quantify the drag force experienced by an object in a fluid environment.

STEP 1: Convert Input(s) to Base Unit

Drag Force: 80 Newton --> 80 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
Drag Coefficient: 30 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

V_∞ = sqrt(F_D/(0.5*ρ_vc*pi*R^2*C_D)) --> sqrt(80/(0.5*1.225*pi*7^2*30))

Evaluating ... ...

V_∞ = 0.168173802241389

STEP 3: Convert Result to Output's Unit

0.168173802241389 Meter per Second --> No Conversion Required

FINAL ANSWER

0.168173802241389 ≈ 0.168174 Meter per Second <-- Free Stream Wind Speed

(Calculation completed in 00.020 seconds)

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< Other Renewable Energy Sources Calculators

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

Free Stream Wind Speed given Drag Coefficient Formula

LaTeX Go

Free Stream Wind Speed = sqrt(Drag Force/(0.5*Density of air VC*pi*Rotor Radius^2*Drag Coefficient))
V_∞ = sqrt(F_D/(0.5*ρ_vc*pi*R^2*C_D))

What is Free Stream Wind Speed?

Free Stream Wind Speed is the undisturbed wind speed in the open atmosphere, measured at a distance from any obstacles or objects. It represents the natural wind velocity before it interacts with structures, terrain, or turbine blades, and is a crucial parameter in evaluating wind energy potential and turbine performance.

How to Calculate Free Stream Wind Speed given Drag Coefficient?

Free Stream Wind Speed given Drag Coefficient calculator uses Free Stream Wind Speed = sqrt(Drag Force/(0.5*Density of air VC*pi*Rotor Radius^2*Drag Coefficient)) to calculate the Free Stream Wind Speed, The Free Stream Wind Speed given Drag Coefficient 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. Free Stream Wind Speed is denoted by V_∞ symbol.

How to calculate Free Stream Wind Speed given Drag Coefficient using this online calculator? To use this online calculator for Free Stream Wind Speed given Drag Coefficient, enter Drag Force (F_D), Density of air VC (ρ_vc), Rotor Radius (R) & Drag Coefficient (C_D) and hit the calculate button. Here is how the Free Stream Wind Speed given Drag Coefficient calculation can be explained with given input values -> 0.168414 = sqrt(80/(0.5*1.225*pi*7^2*30)).

FAQ

What is Free Stream Wind Speed given Drag Coefficient?

The Free Stream Wind Speed given Drag Coefficient 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 and is represented as V_∞ = sqrt(F_D/(0.5*ρ_vc*pi*R^2*C_D)) or Free Stream Wind Speed = sqrt(Drag Force/(0.5*Density of air VC*pi*Rotor Radius^2*Drag Coefficient)). Drag Force is the resistance force exerted on an object moving through a fluid, such as 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 & Drag Coefficient is a dimensionless quantity used to quantify the drag force experienced by an object in a fluid environment.

How to calculate Free Stream Wind Speed given Drag Coefficient?

The Free Stream Wind Speed given Drag Coefficient 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 is calculated using Free Stream Wind Speed = sqrt(Drag Force/(0.5*Density of air VC*pi*Rotor Radius^2*Drag Coefficient)). To calculate Free Stream Wind Speed given Drag Coefficient, you need Drag Force (F_D), Density of air VC (ρ_vc), Rotor Radius (R) & Drag Coefficient (C_D). With our tool, you need to enter the respective value for Drag Force, Density of air VC, Rotor Radius & Drag Coefficient 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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