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Wind Speed given Maximum Controlling Parameter for Angular Distribution Formula

GoWind Speed at Elevation 10m above Sea Surface given Scaling Parameter 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 = [g] \cdot \frac{{(\frac{s}{11.5})}^{- \frac{1}{2.5}}}{2 \cdot π \cdot f p}

V₁₀ - Wind Speed at Height of 10 m?s - Controlling Parameter for the Angular Distribution?f_p - Frequency at Spectral Peak?[g] - Gravitational acceleration on Earth?π - Archimedes' constant?

Wind Speed given Maximum Controlling Parameter for Angular Distribution Example

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Here is how the Wind Speed given Maximum Controlling Parameter for Angular Distribution equation looks like with Values.

Here is how the Wind Speed given Maximum Controlling Parameter for Angular Distribution equation looks like with Units.

Here is how the Wind Speed given Maximum Controlling Parameter for Angular Distribution equation looks like.

21.8334 = 9.8066 \cdot \frac{{(\frac{2.5E-5}{11.5})}^{- \frac{1}{2.5}}}{2 \cdot 3.1416 \cdot 0.0132}

21.8334m/s = 9.8066m/s² \cdot \frac{{(\frac{2.5E-5}{11.5})}^{- \frac{1}{2.5}}}{2 \cdot 3.1416 \cdot 0.0132kHz}

21.8334 = 9.8066 \cdot \frac{{(\frac{2.5E-5}{11.5})}^{- \frac{1}{2.5}}}{2 \cdot 3.1416 \cdot 0.0132}

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Wind Speed given Maximum Controlling Parameter for Angular Distribution Solution

Follow our step by step solution on how to calculate Wind Speed given Maximum Controlling Parameter for Angular Distribution?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

V 10 = [g] \cdot \frac{{(\frac{2.5E-5}{11.5})}^{- \frac{1}{2.5}}}{2 \cdot π \cdot 0.0132kHz}

Next Step Substitute values of Constants

∴

V 10 = 9.8066m/s² \cdot \frac{{(\frac{2.5E-5}{11.5})}^{- \frac{1}{2.5}}}{2 \cdot 3.1416 \cdot 0.0132kHz}

Next Step Convert Units

∴

V 10 = 9.8066m/s² \cdot \frac{{(\frac{2.5E-5}{11.5})}^{- \frac{1}{2.5}}}{2 \cdot 3.1416 \cdot 13.162Hz}

Next Step Prepare to Evaluate

∴

V 10 = 9.8066 \cdot \frac{{(\frac{2.5E-5}{11.5})}^{- \frac{1}{2.5}}}{2 \cdot 3.1416 \cdot 13.162}

Next Step Evaluate

∴

V 10 = 21.8334342897941m/s

LAST Step Rounding Answer

∴

V 10 = 21.8334m/s

Wind Speed given Maximum Controlling Parameter for Angular Distribution 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

Controlling Parameter for the Angular Distribution

Controlling Parameter for the Angular Distribution determines how the energy or intensity of a wave or signal is distributed across different angular directions within the model.

Symbol: s

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Controlling Parameter for the Angular Distribution

Frequency at Spectral Peak

Frequency at Spectral Peak is the number of occurrences of a repeating event per unit of time.

Symbol: f_p

Measurement: FrequencyUnit: kHz

Note: Value can be positive or negative.

Formulas to find Frequency at Spectral Peak

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

Archimedes' constant

Archimedes' constant is a mathematical constant that represents the ratio of the circumference of a circle to its diameter.

Symbol: π

Value: 3.14159265358979323846264338327950288

Other Formulas to find Wind Speed at Height of 10 m

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

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

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 given Maximum Controlling Parameter for Angular Distribution?

Wind Speed given Maximum Controlling Parameter for Angular Distribution evaluator uses 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) to evaluate the Wind Speed at Height of 10 m, The Wind Speed given Maximum Controlling Parameter for Angular Distribution formula is defined as the average speed of the wind measured at a height of 10 meters above ground level, calculated using controlling parameter for angular distribution. Wind Speed at Height of 10 m is denoted by V₁₀ symbol.

How to evaluate Wind Speed given Maximum Controlling Parameter for Angular Distribution using this online evaluator? To use this online evaluator for Wind Speed given Maximum Controlling Parameter for Angular Distribution, enter Controlling Parameter for the Angular Distribution (s) & Frequency at Spectral Peak (f_p) and hit the calculate button.

FAQs on Wind Speed given Maximum Controlling Parameter for Angular Distribution

What is the formula to find Wind Speed given Maximum Controlling Parameter for Angular Distribution?

The formula of Wind Speed given Maximum Controlling Parameter for Angular Distribution is expressed as 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). Here is an example- 21.83343 = [g]*(2.5E-05/11.5)^(-1/2.5)/(2*pi*13.162).

How to calculate Wind Speed given Maximum Controlling Parameter for Angular Distribution?

With Controlling Parameter for the Angular Distribution (s) & Frequency at Spectral Peak (f_p) we can find Wind Speed given Maximum Controlling Parameter for Angular Distribution using the formula - 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). This formula also uses Gravitational acceleration on Earth, Archimedes' constant .

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=((Fetch Length*[g])/(Dimensionless Scaling Parameter/0.076)^(-1/0.22))^0.5

Can the Wind Speed given Maximum Controlling Parameter for Angular Distribution be negative?

No, the Wind Speed given Maximum Controlling Parameter for Angular Distribution, measured in Speed cannot be negative.

Which unit is used to measure Wind Speed given Maximum Controlling Parameter for Angular Distribution?

Wind Speed given Maximum Controlling Parameter for Angular Distribution 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 given Maximum Controlling Parameter for Angular Distribution can be measured.

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