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Wind Speed at Elevation 10m above Sea Surface given Scaling Parameter Formula

GoWind Speed given Maximum Controlling Parameter for Angular Distribution Formula

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Wind Speed at Height of 10 m refers to the average speed of the wind measured at a height of 10 meters above ground level. Check FAQs

V 10 = {(\frac{F l \cdot [g]}{{(\frac{α}{0.076})}^{- \frac{1}{0.22}}})}^{0.5}

V₁₀ - Wind Speed at Height of 10 m?F_l - Fetch Length?α - Dimensionless Scaling Parameter?[g] - Gravitational acceleration on Earth?

Wind Speed at Elevation 10m above Sea Surface given Scaling Parameter Example

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Here is how the Wind Speed at Elevation 10m above Sea Surface given Scaling Parameter equation looks like with Values.

Here is how the Wind Speed at Elevation 10m above Sea Surface given Scaling Parameter equation looks like with Units.

Here is how the Wind Speed at Elevation 10m above Sea Surface given Scaling Parameter equation looks like.

21.9813 = {(\frac{2 \cdot 9.8066}{{(\frac{0.1538}{0.076})}^{- \frac{1}{0.22}}})}^{0.5}

21.9813m/s = {(\frac{2m \cdot 9.8066m/s²}{{(\frac{0.1538}{0.076})}^{- \frac{1}{0.22}}})}^{0.5}

21.9813 = {(\frac{2 \cdot 9.8066}{{(\frac{0.1538}{0.076})}^{- \frac{1}{0.22}}})}^{0.5}

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Wind Speed at Elevation 10m above Sea Surface given Scaling Parameter Solution

Follow our step by step solution on how to calculate Wind Speed at Elevation 10m above Sea Surface given Scaling Parameter?

FIRST Step Consider the formula

V 10 = {(\frac{F l \cdot [g]}{{(\frac{α}{0.076})}^{- \frac{1}{0.22}}})}^{0.5}

Next Step Substitute values of Variables

∴

V 10 = {(\frac{2m \cdot [g]}{{(\frac{0.1538}{0.076})}^{- \frac{1}{0.22}}})}^{0.5}

Next Step Substitute values of Constants

∴

V 10 = {(\frac{2m \cdot 9.8066m/s²}{{(\frac{0.1538}{0.076})}^{- \frac{1}{0.22}}})}^{0.5}

Next Step Prepare to Evaluate

∴

V 10 = {(\frac{2 \cdot 9.8066}{{(\frac{0.1538}{0.076})}^{- \frac{1}{0.22}}})}^{0.5}

Next Step Evaluate

∴

V 10 = 21.9813467605886m/s

LAST Step Rounding Answer

∴

V 10 = 21.9813m/s

Wind Speed at Elevation 10m above Sea Surface given Scaling Parameter Formula Elements

Variables

Constants

Wind Speed at Height of 10 m

Wind Speed at Height of 10 m refers to the average speed of the wind measured at a height of 10 meters above ground level.

Symbol: V₁₀

Measurement: SpeedUnit: m/s

Note: Value should be greater than 0.

Formulas to find Wind Speed at Height of 10 m

Fetch Length

Fetch Length is the unobstructed distance that wind can travel over water in a constant direction.

Symbol: F_l

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Fetch Length

Dimensionless Scaling Parameter

Dimensionless Scaling Parameter is a value used in mathematical or scientific models to scale or normalize variables without units. It is used in the JONSWAP spectrum for fetch-limited seas.

Symbol: α

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Dimensionless Scaling Parameter

Gravitational acceleration on Earth

Gravitational acceleration on Earth means that the velocity of an object in free fall will increase by 9.8 m/s2 every second.

Symbol: [g]

Value: 9.80665 m/s²

Other Formulas to find Wind Speed at Height of 10 m

Go Wind Speed given Maximum Controlling Parameter for Angular Distribution

V 10 = [g] \cdot \frac{{(\frac{s}{11.5})}^{- \frac{1}{2.5}}}{2 \cdot π \cdot f p}

Other formulas in Parametric Spectrum Models category

Go Phillip's Equilibrium Range of Spectrum for Fully Developed Sea in Deep Water

E ω = b \cdot {[g]}^{2} \cdot ω^{- 5}

Go JONSWAP Spectrum for Fetch-limited Seas

E f = (\frac{α \cdot {[g]}^{2}}{{(2 \cdot π)}^{4} \cdot f^{5}}) \cdot {(\exp (- 1.25 \cdot {(\frac{f}{f p})}^{- 4}) \cdot γ)}^{\exp (- \frac{{((\frac{f}{f p}) - 1)}^{2}}{2 \cdot σ^{2}})}

Go Frequency at Spectral Peak

f p = 3.5 \cdot {(\frac{{[g]}^{2} \cdot F l}{{V 10}^{3}})}^{- 0.33}

Go Fetch Length given Frequency at Spectral Peak

F l = \frac{({V 10}^{3}) \cdot ({(\frac{f p}{3.5})}^{- (\frac{1}{0.33})})}{{[g]}^{2}}

How to Evaluate Wind Speed at Elevation 10m above Sea Surface given Scaling Parameter?

Wind Speed at Elevation 10m above Sea Surface given Scaling Parameter evaluator uses Wind Speed at Height of 10 m = ((Fetch Length*[g])/(Dimensionless Scaling Parameter/0.076)^(-1/0.22))^0.5 to evaluate the Wind Speed at Height of 10 m, The Wind Speed at Elevation 10m above Sea Surface given Scaling Parameter formula is defined as the average speed of the wind measured at a height of 10 meters above ground level, calculated using scaling parameter. Wind Speed at Height of 10 m is denoted by V₁₀ symbol.

How to evaluate Wind Speed at Elevation 10m above Sea Surface given Scaling Parameter using this online evaluator? To use this online evaluator for Wind Speed at Elevation 10m above Sea Surface given Scaling Parameter, enter Fetch Length (F_l) & Dimensionless Scaling Parameter (α) and hit the calculate button.

FAQs on Wind Speed at Elevation 10m above Sea Surface given Scaling Parameter

What is the formula to find Wind Speed at Elevation 10m above Sea Surface given Scaling Parameter?

The formula of Wind Speed at Elevation 10m above Sea Surface given Scaling Parameter is expressed as Wind Speed at Height of 10 m = ((Fetch Length*[g])/(Dimensionless Scaling Parameter/0.076)^(-1/0.22))^0.5. Here is an example- 21.98135 = ((2*[g])/(0.1538/0.076)^(-1/0.22))^0.5.

How to calculate Wind Speed at Elevation 10m above Sea Surface given Scaling Parameter?

With Fetch Length (F_l) & Dimensionless Scaling Parameter (α) we can find Wind Speed at Elevation 10m above Sea Surface given Scaling Parameter using the formula - Wind Speed at Height of 10 m = ((Fetch Length*[g])/(Dimensionless Scaling Parameter/0.076)^(-1/0.22))^0.5. This formula also uses Gravitational acceleration on Earth constant(s).

What are the other ways to Calculate Wind Speed at Height of 10 m?

Here are the different ways to Calculate Wind Speed at Height of 10 m-

Wind Speed at Height of 10 m=[g]*(Controlling Parameter for the Angular Distribution/11.5)^(-1/2.5)/(2*pi*Frequency at Spectral Peak)

Can the Wind Speed at Elevation 10m above Sea Surface given Scaling Parameter be negative?

No, the Wind Speed at Elevation 10m above Sea Surface given Scaling Parameter, measured in Speed cannot be negative.

Which unit is used to measure Wind Speed at Elevation 10m above Sea Surface given Scaling Parameter?

Wind Speed at Elevation 10m above Sea Surface given Scaling Parameter 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 Elevation 10m above Sea Surface given Scaling Parameter can be measured.

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