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

GoWind Speed at Height z above Surface 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 10}{{(\frac{10}{Z})}^{\frac{1}{7}}}

U - Wind Speed?V₁₀ - Wind Speed at Height of 10 m?Z - Height z above Surface?

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

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

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

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

21.3098 = \frac{22}{{(\frac{10}{8})}^{\frac{1}{7}}}

21.3098m/s = \frac{22m/s}{{(\frac{10}{8m})}^{\frac{1}{7}}}

21.3098 = \frac{22}{{(\frac{10}{8})}^{\frac{1}{7}}}

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

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

U = \frac{22m/s}{{(\frac{10}{8m})}^{\frac{1}{7}}}

Next Step Prepare to Evaluate

∴

U = \frac{22}{{(\frac{10}{8})}^{\frac{1}{7}}}

Next Step Evaluate

∴

U = 21.3097518903939m/s

LAST Step Rounding Answer

∴

U = 21.3098m/s

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

Variables

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

Wind Speed at Height of 10 m

Wind Speed at Height of 10 m is the ten-meter wind speed measured ten meters above the top of the datum of consideration.

Symbol: V₁₀

Measurement: SpeedUnit: m/s

Note: Value should be greater than 0.

Formulas to find Wind Speed at Height of 10 m

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

Other Formulas to find Wind Speed

Go Wind Speed at Height z above Surface

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

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 given Standard Reference Wind Speed?

Wind Speed at Height z above Surface given Standard Reference Wind Speed evaluator uses Wind Speed = Wind Speed at Height of 10 m/(10/Height z above Surface)^(1/7) to evaluate the Wind Speed, The Wind Speed at Height z above Surface given Standard Reference Wind Speed 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 given Standard Reference Wind Speed using this online evaluator? To use this online evaluator for Wind Speed at Height z above Surface given Standard Reference Wind Speed, enter Wind Speed at Height of 10 m (V₁₀) & Height z above Surface (Z) and hit the calculate button.

FAQs on Wind Speed at Height z above Surface given Standard Reference Wind Speed

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

The formula of Wind Speed at Height z above Surface given Standard Reference Wind Speed is expressed as Wind Speed = Wind Speed at Height of 10 m/(10/Height z above Surface)^(1/7). Here is an example- 21.30975 = 22/(10/8)^(1/7).

How to calculate Wind Speed at Height z above Surface given Standard Reference Wind Speed?

With Wind Speed at Height of 10 m (V₁₀) & Height z above Surface (Z) we can find Wind Speed at Height z above Surface given Standard Reference Wind Speed using the formula - Wind Speed = Wind Speed at Height of 10 m/(10/Height z above Surface)^(1/7).

What are the other ways to Calculate Wind Speed?

Here are the different ways to Calculate Wind Speed-

Wind Speed=(Friction Velocity/Von Kármán Constant)*ln(Height z above Surface/Roughness Height of Surface)
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 given Standard Reference Wind Speed be negative?

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

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

Wind Speed at Height z above Surface given Standard Reference Wind Speed 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 given Standard Reference Wind Speed can be measured.

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