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Wind Stress given Friction Velocity Formula

GoWind Stress in Parametric Form Formula

GoRate of Momentum Transfer at Standard Reference Height for Winds Formula

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

τ o = (\frac{ρ}{ρ Water}) \cdot {V f}^{2}

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

Wind Stress given Friction Velocity Example

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

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

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

0.0465 = (\frac{1.293}{1000}) \cdot 6^{2}

0.0465Pa = (\frac{1.293kg/m³}{1000kg/m³}) \cdot {6m/s}^{2}

0.0465 = (\frac{1.293}{1000}) \cdot 6^{2}

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Wind Stress given Friction Velocity Solution

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

FIRST Step Consider the formula

τ o = (\frac{ρ}{ρ Water}) \cdot {V f}^{2}

Next Step Substitute values of Variables

∴

τ o = (\frac{1.293kg/m³}{1000kg/m³}) \cdot {6m/s}^{2}

Next Step Prepare to Evaluate

∴

τ o = (\frac{1.293}{1000}) \cdot 6^{2}

Next Step Evaluate

∴

τ o = 0.046548Pa

LAST Step Rounding Answer

∴

τ o = 0.0465Pa

Wind Stress given Friction Velocity Formula Elements

Variables

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

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

Other Formulas to find Wind Stress

Go Wind Stress in Parametric Form

τ o = C D \cdot (\frac{ρ}{ρ Water}) \cdot U^{2}

Go Rate of Momentum Transfer at Standard Reference Height for Winds

τ o = C DZ \cdot U^{2}

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 Wind Stress given Friction Velocity?

Wind Stress given Friction Velocity evaluator uses Wind Stress = (Density of Air/Water Density)*Friction Velocity^2 to evaluate the Wind Stress, The Wind Stress given Friction Velocity formula is defined as shear stress exerted by the wind on the surface of large bodies of water – such as oceans, seas, estuaries and lakes. Wind Stress is denoted by τ_o symbol.

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

FAQs on Wind Stress given Friction Velocity

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

The formula of Wind Stress given Friction Velocity is expressed as Wind Stress = (Density of Air/Water Density)*Friction Velocity^2. Here is an example- 0.046548 = (1.293/1000)*6^2.

How to calculate Wind Stress given Friction Velocity?

With Density of Air (ρ), Water Density (ρ_Water) & Friction Velocity (V_f) we can find Wind Stress given Friction Velocity using the formula - Wind Stress = (Density of Air/Water Density)*Friction Velocity^2.

What are the other ways to Calculate Wind Stress?

Here are the different ways to Calculate Wind Stress-

Wind Stress=Coefficient of Drag*(Density of Air/Water Density)*Wind Speed^2
Wind Stress=Coefficient of Drag to 10m Reference Level*Wind Speed^2

Can the Wind Stress given Friction Velocity be negative?

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

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

Wind Stress given Friction Velocity is usually measured using the Pascal[Pa] for Pressure. Kilopascal[Pa], Bar[Pa], Pound Per Square Inch[Pa] are the few other units in which Wind Stress given Friction Velocity can be measured.

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