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Free Stream Wind Speed given Drag Coefficient Formula

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Free Stream Wind Speed is the speed of wind that occurs naturally in the atmosphere, unaffected by any obstacles or wind turbines. Check FAQs

V ∞ = \sqrt{\frac{F D}{0.5 \cdot ρ vc \cdot π \cdot R^{2} \cdot C D}}

V_∞ - Free Stream Wind Speed?F_D - Drag Force?ρ_vc - Density of air VC?R - Rotor Radius?C_D - Drag Coefficient?π - Archimedes' constant?

Free Stream Wind Speed given Drag Coefficient Example

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Here is how the Free Stream Wind Speed given Drag Coefficient equation looks like with Values.

Here is how the Free Stream Wind Speed given Drag Coefficient equation looks like with Units.

Here is how the Free Stream Wind Speed given Drag Coefficient equation looks like.

0.1682 = \sqrt{\frac{80}{0.5 \cdot 1.225 \cdot 3.1416 \cdot 7^{2} \cdot 30}}

0.1682m/s = \sqrt{\frac{80N}{0.5 \cdot 1.225kg/m³ \cdot 3.1416 \cdot {7m}^{2} \cdot 30}}

0.1682 = \sqrt{\frac{80}{0.5 \cdot 1.225 \cdot 3.1416 \cdot 7^{2} \cdot 30}}

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Free Stream Wind Speed given Drag Coefficient Solution

Follow our step by step solution on how to calculate Free Stream Wind Speed given Drag Coefficient?

FIRST Step Consider the formula

V ∞ = \sqrt{\frac{F D}{0.5 \cdot ρ vc \cdot π \cdot R^{2} \cdot C D}}

Next Step Substitute values of Variables

∴

V ∞ = \sqrt{\frac{80N}{0.5 \cdot 1.225kg/m³ \cdot π \cdot {7m}^{2} \cdot 30}}

Next Step Substitute values of Constants

∴

V ∞ = \sqrt{\frac{80N}{0.5 \cdot 1.225kg/m³ \cdot 3.1416 \cdot {7m}^{2} \cdot 30}}

Next Step Prepare to Evaluate

∴

V ∞ = \sqrt{\frac{80}{0.5 \cdot 1.225 \cdot 3.1416 \cdot 7^{2} \cdot 30}}

Next Step Evaluate

∴

V ∞ = 0.168173802241389m/s

LAST Step Rounding Answer

∴

V ∞ = 0.1682m/s

Free Stream Wind Speed given Drag Coefficient Formula Elements

Variables

Constants

Functions

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

Drag Force

Drag Force is the resistance force exerted on an object moving through a fluid, such as air or water.

Symbol: F_D

Measurement: ForceUnit: N

Note: Value can be positive or negative.

Formulas to find Drag Force

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

Drag Coefficient

Drag Coefficient is a dimensionless quantity used to quantify the drag force experienced by an object in a fluid environment.

Symbol: C_D

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Drag Coefficient

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

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.

Syntax: sqrt(Number)

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 Lift Force given Lift Coefficient of Blade

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

How to Evaluate Free Stream Wind Speed given Drag Coefficient?

Free Stream Wind Speed given Drag Coefficient evaluator uses Free Stream Wind Speed = sqrt(Drag Force/(0.5*Density of air VC*pi*Rotor Radius^2*Drag Coefficient)) to evaluate 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 evaluate Free Stream Wind Speed given Drag Coefficient using this online evaluator? To use this online evaluator 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.

FAQs on Free Stream Wind Speed given Drag Coefficient

What is the formula to find Free Stream Wind Speed given Drag Coefficient?

The formula of Free Stream Wind Speed given Drag Coefficient is expressed as Free Stream Wind Speed = sqrt(Drag Force/(0.5*Density of air VC*pi*Rotor Radius^2*Drag Coefficient)). Here is an example- 0.168414 = sqrt(80/(0.5*1.225*pi*7^2*30)).

How to calculate Free Stream Wind Speed given Drag Coefficient?

With Drag Force (F_D), Density of air VC (ρ_vc), Rotor Radius (R) & Drag Coefficient (C_D) we can find Free Stream Wind Speed given Drag Coefficient using the formula - Free Stream Wind Speed = sqrt(Drag Force/(0.5*Density of air VC*pi*Rotor Radius^2*Drag Coefficient)). This formula also uses Archimedes' constant and Square Root (sqrt) function(s).

Can the Free Stream Wind Speed given Drag Coefficient be negative?

No, the Free Stream Wind Speed given Drag Coefficient, measured in Speed cannot be negative.

Which unit is used to measure Free Stream Wind Speed given Drag Coefficient?

Free Stream Wind Speed given Drag Coefficient is usually measured using the Meter per Second[m/s] for Speed. Meter per Minute[m/s], Meter per Hour[m/s], Kilometer per Hour[m/s] are the few other units in which Free Stream Wind Speed given Drag Coefficient can be measured.

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Free Stream Wind Speed given Drag Coefficient Formula

Free Stream Wind Speed given Drag Coefficient Example

Free Stream Wind Speed given Drag Coefficient Solution

Free Stream Wind Speed given Drag Coefficient Formula Elements

Other formulas in Other Renewable Energy Sources category

How to Evaluate Free Stream Wind Speed given Drag Coefficient?

FAQs on Free Stream Wind Speed given Drag Coefficient

Variable Name