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Wind Speed at Height z above Surface Formula

GoWind Speed at Height z above Surface given Standard Reference Wind Speed Formula

GoWind Speed given Coefficient of Drag at 10-m Reference Level Formula

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Wind Speed is a fundamental atmospheric quantity caused by air moving from high to low pressure, usually due to changes in temperature. Check FAQs

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

U - Wind Speed?V_f - Friction Velocity?k - Von Kármán Constant?Z - Height z above Surface?z₀ - Roughness Height of Surface?

Wind Speed at Height z above Surface Example

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Here is how the Wind Speed at Height z above Surface equation looks like with Values.

Here is how the Wind Speed at Height z above Surface equation looks like with Units.

Here is how the Wind Speed at Height z above Surface equation looks like.

4.0673 = (\frac{6}{0.4}) \cdot \ln (\frac{8}{6.1})

4.0673m/s = (\frac{6m/s}{0.4}) \cdot \ln (\frac{8m}{6.1m})

4.0673 = (\frac{6}{0.4}) \cdot \ln (\frac{8}{6.1})

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Wind Speed at Height z above Surface Solution

Follow our step by step solution on how to calculate Wind Speed at Height z above Surface?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

U = (\frac{6m/s}{0.4}) \cdot \ln (\frac{8m}{6.1m})

Next Step Prepare to Evaluate

∴

U = (\frac{6}{0.4}) \cdot \ln (\frac{8}{6.1})

Next Step Evaluate

∴

U = 4.06729155750856m/s

LAST Step Rounding Answer

∴

U = 4.0673m/s

Wind Speed at Height z above Surface Formula Elements

Variables

Functions

Wind Speed

Wind Speed is a fundamental atmospheric quantity caused by air moving from high to low pressure, usually due to changes in temperature.

Symbol: U

Measurement: SpeedUnit: m/s

Note: Value should be greater than 0.

Formulas to find Wind Speed

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

Von Kármán Constant

Von Kármán Constant is often used in turbulence modeling, for instance in boundary-layer meteorology to calculate fluxes of momentum, heat and moisture from the atmosphere to the land surface.

Symbol: k

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Von Kármán Constant

Height z above Surface

Height z above Surface where the Wind Speed is measured.

Symbol: Z

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Height z above Surface

Roughness Height of Surface

Roughness Height of Surface is the height of the roughness of the surface.

Symbol: z₀

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Roughness Height of Surface

The natural logarithm, also known as the logarithm to the base e, is the inverse function of the natural exponential function.

Syntax: ln(Number)

Other Formulas to find Wind Speed

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

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

Go Wind Speed given Coefficient of Drag at 10-m Reference Level

U = \sqrt{\frac{τ o}{C DZ}}

Go Wind Speed at Height above Surface in form of near Surface Wind Profile

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

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 Height z above Surface given Standard Reference Wind Speed

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

Go Friction Velocity given Wind Speed at Height above Surface

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

Go Wind Stress in Parametric Form

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

How to Evaluate Wind Speed at Height z above Surface?

Wind Speed at Height z above Surface evaluator uses Wind Speed = (Friction Velocity/Von Kármán Constant)*ln(Height z above Surface/Roughness Height of Surface) to evaluate the Wind Speed, The Wind Speed at Height z above Surface formula is defined as quantity caused by air moving from high to low pressure, usually due to changes in temperature. Wind Speed is denoted by U symbol.

How to evaluate Wind Speed at Height z above Surface using this online evaluator? To use this online evaluator for Wind Speed at Height z above Surface, enter Friction Velocity (V_f), Von Kármán Constant (k), Height z above Surface (Z) & Roughness Height of Surface (z₀) and hit the calculate button.

FAQs on Wind Speed at Height z above Surface

What is the formula to find Wind Speed at Height z above Surface?

The formula of Wind Speed at Height z above Surface is expressed as Wind Speed = (Friction Velocity/Von Kármán Constant)*ln(Height z above Surface/Roughness Height of Surface). Here is an example- 4.067292 = (6/0.4)*ln(8/6.1).

How to calculate Wind Speed at Height z above Surface?

With Friction Velocity (V_f), Von Kármán Constant (k), Height z above Surface (Z) & Roughness Height of Surface (z₀) we can find Wind Speed at Height z above Surface using the formula - Wind Speed = (Friction Velocity/Von Kármán Constant)*ln(Height z above Surface/Roughness Height of Surface). This formula also uses Natural Logarithm (ln) function(s).

What are the other ways to Calculate Wind Speed?

Here are the different ways to Calculate Wind Speed-

Wind Speed=Wind Speed at Height of 10 m/(10/Height z above Surface)^(1/7)
Wind Speed=sqrt(Wind Stress/Coefficient of Drag to 10m Reference Level)
Wind Speed=(Friction Velocity/Von Kármán Constant)*(ln(Height z above Surface/Roughness Height of Surface)-Universal Similarity Function*(Height z above Surface/Parameter with Dimensions of Length))

Can the Wind Speed at Height z above Surface be negative?

No, the Wind Speed at Height z above Surface, measured in Speed cannot be negative.

Which unit is used to measure Wind Speed at Height z above Surface?

Wind Speed at Height z above Surface 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 Wind Speed at Height z above Surface can be measured.

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Wind Speed at Height z above Surface Formula

​GoWind Speed at Height z above Surface given Standard Reference Wind Speed Formula

​GoWind Speed given Coefficient of Drag at 10-m Reference Level Formula

Wind Speed at Height z above Surface Example

Wind Speed at Height z above Surface Solution

Wind Speed at Height z above Surface Formula Elements

Other Formulas to find Wind Speed

Other formulas in Estimating Marine and Coastal Winds category

How to Evaluate Wind Speed at Height z above Surface?

FAQs on Wind Speed at Height z above Surface

Variable Name

GoWind Speed at Height z above Surface given Standard Reference Wind Speed Formula

GoWind Speed given Coefficient of Drag at 10-m Reference Level Formula