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Friction Velocity given Wind Stress Formula

GoFriction Velocity given Wind Speed at Height above Surface Formula

GoFriction Velocity given Height of Boundary Layer in Non-Equatorial Regions Formula

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Friction Velocity, also called shear velocity, is a form by which a shear stress may be re-written in units of velocity. Check FAQs

V f = \sqrt{\frac{τ o}{\frac{ρ}{ρ Water}}}

V_f - Friction Velocity?τ_o - Wind Stress?ρ - Density of Air?ρ_Water - Water Density?

Friction Velocity given Wind Stress Example

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Here is how the Friction Velocity given Wind Stress equation looks like with Values.

Here is how the Friction Velocity given Wind Stress equation looks like with Units.

Here is how the Friction Velocity given Wind Stress equation looks like.

34.0601 = \sqrt{\frac{1.5}{\frac{1.293}{1000}}}

34.0601m/s = \sqrt{\frac{1.5Pa}{\frac{1.293kg/m³}{1000kg/m³}}}

34.0601 = \sqrt{\frac{1.5}{\frac{1.293}{1000}}}

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Friction Velocity given Wind Stress Solution

Follow our step by step solution on how to calculate Friction Velocity given Wind Stress?

FIRST Step Consider the formula

V f = \sqrt{\frac{τ o}{\frac{ρ}{ρ Water}}}

Next Step Substitute values of Variables

∴

V f = \sqrt{\frac{1.5Pa}{\frac{1.293kg/m³}{1000kg/m³}}}

Next Step Prepare to Evaluate

∴

V f = \sqrt{\frac{1.5}{\frac{1.293}{1000}}}

Next Step Evaluate

∴

V f = 34.0601351645086m/s

LAST Step Rounding Answer

∴

V f = 34.0601m/s

Friction Velocity given Wind Stress Formula Elements

Variables

Functions

Friction Velocity

Friction Velocity, also called shear velocity, is a form by which a shear stress may be re-written in units of velocity.

Symbol: V_f

Measurement: SpeedUnit: m/s

Note: Value can be positive or negative.

Formulas to find Friction Velocity

Wind Stress

Wind Stress is the shear stress exerted by the wind on the surface of large bodies of water.

Symbol: τ_o

Measurement: PressureUnit: Pa

Note: Value can be positive or negative.

Formulas to find Wind Stress

Density of Air

Density of Air is the mass of air per unit volume; it decreases with altitude due to lower pressure.

Symbol: ρ

Measurement: DensityUnit: kg/m³

Note: Value should be greater than 0.

Formulas to find Density of Air

Water Density

Water Density is mass per unit of water.

Symbol: ρ_Water

Measurement: DensityUnit: kg/m³

Note: Value should be greater than 0.

Formulas to find Water Density

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 to find Friction Velocity

Go Friction Velocity given Wind Speed at Height above Surface

V f = k \cdot (\frac{U}{\ln (\frac{Z}{z 0})})

Go Friction Velocity given Height of Boundary Layer in Non-Equatorial Regions

V f = \frac{h \cdot f}{λ}

Go Friction Velocity of Wind in Neutral Stratification as Function of Geostrophic Wind Speed

V f = 0.0275 \cdot U g

Other formulas in Estimating Marine and Coastal Winds category

Go Wind Speed at Standard 10-m Reference Level

V 10 = U \cdot {(\frac{10}{Z})}^{\frac{1}{7}}

Go Wind Speed at Height z above Surface given Standard Reference Wind Speed

U = \frac{V 10}{{(\frac{10}{Z})}^{\frac{1}{7}}}

Go Height z above Surface given Standard Reference Wind Speed

Z = \frac{10}{{(\frac{V 10}{U})}^{7}}

Go Wind Speed at Height z above Surface

U = (\frac{V f}{k}) \cdot \ln (\frac{Z}{z 0})

How to Evaluate Friction Velocity given Wind Stress?

Friction Velocity given Wind Stress evaluator uses Friction Velocity = sqrt(Wind Stress/(Density of Air/Water Density)) to evaluate the Friction Velocity, The Friction Velocity given Wind Stress formula is defined as the form by which shear stress may be re-written in units of velocity. Friction Velocity is denoted by V_f symbol.

How to evaluate Friction Velocity given Wind Stress using this online evaluator? To use this online evaluator for Friction Velocity given Wind Stress, enter Wind Stress (τ_o), Density of Air (ρ) & Water Density (ρ_Water) and hit the calculate button.

FAQs on Friction Velocity given Wind Stress

What is the formula to find Friction Velocity given Wind Stress?

The formula of Friction Velocity given Wind Stress is expressed as Friction Velocity = sqrt(Wind Stress/(Density of Air/Water Density)). Here is an example- 34.06014 = sqrt(1.5/(1.293/1000)).

How to calculate Friction Velocity given Wind Stress?

With Wind Stress (τ_o), Density of Air (ρ) & Water Density (ρ_Water) we can find Friction Velocity given Wind Stress using the formula - Friction Velocity = sqrt(Wind Stress/(Density of Air/Water Density)). This formula also uses Square Root Function function(s).

What are the other ways to Calculate Friction Velocity?

Here are the different ways to Calculate Friction Velocity-

Friction Velocity=Von Kármán Constant*(Wind Speed/(ln(Height z above Surface/Roughness Height of Surface)))
Friction Velocity=(Height of Boundary Layer*Coriolis Frequency)/Dimensionless Constant
Friction Velocity=0.0275*Geostrophic Wind Speed

Can the Friction Velocity given Wind Stress be negative?

Yes, the Friction Velocity given Wind Stress, measured in Speed can be negative.

Which unit is used to measure Friction Velocity given Wind Stress?

Friction Velocity given Wind Stress 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 Friction Velocity given Wind Stress can be measured.

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