Wind Speed at Elevation 10m above Sea Surface given Frequency at Spectral Peak Calculator

✖Fetch Length is the unobstructed distance that wind can travel over water in a constant direction.ⓘ Fetch Length [F_l]			+10% -10%
✖Frequency at Spectral Peak is the number of occurrences of a repeating event per unit of time.ⓘ Frequency at Spectral Peak [f_p]			+10% -10%

✖Wind Speed refers to the average speed of the wind.ⓘ Wind Speed at Elevation 10m above Sea Surface given Frequency at Spectral Peak [V]

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Formula

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Wind Speed at Elevation 10m above Sea Surface given Frequency at Spectral Peak

Formula

`"V" = (("F"_{"l"}*"[g]"^2)/("f"_{"p"}/3.5)^-(1/0.33))^(1/3)`

Example

`"0.01879m/s"=(("2m"*"[g]"^2)/("0.013162kHz"/3.5)^-(1/0.33))^(1/3)`

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Wind Speed at Elevation 10m above Sea Surface given Frequency at Spectral Peak Solution

STEP 0: Pre-Calculation Summary

Formula Used

Wind Speed = ((Fetch Length*[g]^2)/(Frequency at Spectral Peak/3.5)^-(1/0.33))^(1/3)
V = ((F_l*[g]^2)/(f_p/3.5)^-(1/0.33))^(1/3)
This formula uses 1 Constants, 3 Variables

Constants Used

[g] - Gravitational acceleration on Earth Value Taken As 9.80665

Variables Used

Wind Speed - (Measured in Meter per Second) - Wind Speed refers to the average speed of the wind.
Fetch Length - (Measured in Meter) - Fetch Length is the unobstructed distance that wind can travel over water in a constant direction.
Frequency at Spectral Peak - (Measured in Hertz) - Frequency at Spectral Peak is the number of occurrences of a repeating event per unit of time.

STEP 1: Convert Input(s) to Base Unit

Fetch Length: 2 Meter --> 2 Meter No Conversion Required
Frequency at Spectral Peak: 0.013162 Kilohertz --> 13.162 Hertz (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

V = ((F_l*[g]^2)/(f_p/3.5)^-(1/0.33))^(1/3) --> ((2*[g]^2)/(13.162/3.5)^-(1/0.33))^(1/3)

Evaluating ... ...

V = 0.018789780745146

STEP 3: Convert Result to Output's Unit

0.018789780745146 Meter per Second --> No Conversion Required

FINAL ANSWER

0.018789780745146 ≈ 0.01879 Meter per Second <-- Wind Speed

(Calculation completed in 00.016 seconds)

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Home » Engineering » Civil » Coastal and Ocean Engineering » Water Wave Mechanics » Parametric Spectrum Models » Wind Speed at Elevation 10m above Sea Surface given Frequency at Spectral Peak

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Created by Mithila Muthamma PA

Coorg Institute of Technology (CIT), Coorg

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National Institute of Technology (NIT), Warangal

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< 19 Parametric Spectrum Models Calculators

JONSWAP Spectrum for Fetch-limited Seas

Go Frequency Energy Spectrum = ((Dimensionless Scaling Parameter*[g]^2)/((2*pi)^4*Wave Frequency^5))*(exp(-1.25*(Wave Frequency/Frequency at Spectral Peak)^-4)*Peak Enhancement Factor)^exp(-((Wave Frequency/Frequency at Spectral Peak)-1)^2/(2*Standard Deviation^2))

Frequency of Spectral Peak

Go Frequency at Spectral Peak = ([g]*18.8*(([g]*Fetch Length)/Wind Speed at Height of 10 m^2)^-0.33)/(2*pi*Wind Speed at Height of 10 m)

Frequency of Spectral Peak Given Wind Speed

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

Wind Speed given Maximum Controlling Parameter for Angular Distribution

Go 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)

Maximum Controlling Parameter for Angular Distribution

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

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

Go Wind Speed at Height of 10 m = ((Fetch Length*[g])/(Dimensionless Scaling Parameter/0.076)^(-1/0.22))^0.5

Fetch Length given Scaling Parameter

Go Fetch Length = (Wind Speed at Height of 10 m^2*((Dimensionless Scaling Parameter/0.076)^-(1/0.22)))/[g]

Scaling Parameter

Go Dimensionless Scaling Parameter = 0.076*(([g]*Fetch Length)/Wind Speed at Height of 10 m^2)^-0.22

Dimensionless Time

Go Dimensionless Time = ([g]*Time for Dimensionless Parameter Calculation)/Friction Velocity

Significant Wave Height given Significant Wave Height of Lower and Higher frequency Components

Go Significant Wave Height = sqrt(Significant Wave Height 1^2+Significant Wave Height 2^2)

Significant Wave Height of Higher Frequency Component

Go Significant Wave Height 2 = sqrt(Significant Wave Height^2-Significant Wave Height 1^2)

Significant Wave Height of Lower Frequency Component

Go Significant Wave Height 1 = sqrt(Significant Wave Height^2-Significant Wave Height 2^2)

Fetch Length given Frequency at Spectral Peak

Go Fetch Length = ((Wind Speed at Height of 10 m^3)*((Frequency at Spectral Peak/3.5)^-(1/0.33)))/[g]^2

Frequency at Spectral Peak

Go Frequency at Spectral Peak = 3.5*(([g]^2*Fetch Length)/Wind Speed at Height of 10 m^3)^-0.33

Shape Factor for Higher Frequency Component

Go Shape Factor for Higher Frequency Component = 1.82*exp(-0.027*Significant Wave Height)

Wind Speed at Elevation 10m above Sea Surface given Frequency at Spectral Peak

Go Wind Speed = ((Fetch Length*[g]^2)/(Frequency at Spectral Peak/3.5)^-(1/0.33))^(1/3)

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

Go Phillip's Equilibrium Range of Spectrum = Constant B*[g]^2*Wave Angular Frequency^-5

Weighing Factor for Angular Frequency greater than One

Go Weighing Factor for Angular Frequency = 1-0.5*(2-Coast Wave Angular Frequency)^2

Weighing Factor for Angular Frequency Lesser than or Equal to One

Go Weighing Factor = 0.5*Wave Angular Frequency^2

Wind Speed at Elevation 10m above Sea Surface given Frequency at Spectral Peak Formula

Wind Speed = ((Fetch Length*[g]^2)/(Frequency at Spectral Peak/3.5)^-(1/0.33))^(1/3)
V = ((F_l*[g]^2)/(f_p/3.5)^-(1/0.33))^(1/3)

What are the Characteristics of Progressive Waves?

A progressive wave is formed due to continuous vibration of the particles of the medium.
The wave travels with a certain velocity.
There is a flow of energy in the direction of the wave.
No particles in the medium are at rest.
The amplitude of all the particles is the same.

How to Calculate Wind Speed at Elevation 10m above Sea Surface given Frequency at Spectral Peak?

Wind Speed at Elevation 10m above Sea Surface given Frequency at Spectral Peak calculator uses Wind Speed = ((Fetch Length*[g]^2)/(Frequency at Spectral Peak/3.5)^-(1/0.33))^(1/3) to calculate the Wind Speed, The Wind Speed at Elevation 10m above Sea Surface given Frequency at Spectral Peak is defined as ten-meter wind speed is measured ten meters above top of datum of consideration. Wind Speed is denoted by V symbol.

How to calculate Wind Speed at Elevation 10m above Sea Surface given Frequency at Spectral Peak using this online calculator? To use this online calculator for Wind Speed at Elevation 10m above Sea Surface given Frequency at Spectral Peak, enter Fetch Length (F_l) & Frequency at Spectral Peak (f_p) and hit the calculate button. Here is how the Wind Speed at Elevation 10m above Sea Surface given Frequency at Spectral Peak calculation can be explained with given input values -> 0.01879 = ((2*[g]^2)/(13.162/3.5)^-(1/0.33))^(1/3).

FAQ

What is Wind Speed at Elevation 10m above Sea Surface given Frequency at Spectral Peak?

The Wind Speed at Elevation 10m above Sea Surface given Frequency at Spectral Peak is defined as ten-meter wind speed is measured ten meters above top of datum of consideration and is represented as V = ((F_l*[g]^2)/(f_p/3.5)^-(1/0.33))^(1/3) or Wind Speed = ((Fetch Length*[g]^2)/(Frequency at Spectral Peak/3.5)^-(1/0.33))^(1/3). Fetch Length is the unobstructed distance that wind can travel over water in a constant direction & Frequency at Spectral Peak is the number of occurrences of a repeating event per unit of time.

How to calculate Wind Speed at Elevation 10m above Sea Surface given Frequency at Spectral Peak?

The Wind Speed at Elevation 10m above Sea Surface given Frequency at Spectral Peak is defined as ten-meter wind speed is measured ten meters above top of datum of consideration is calculated using Wind Speed = ((Fetch Length*[g]^2)/(Frequency at Spectral Peak/3.5)^-(1/0.33))^(1/3). To calculate Wind Speed at Elevation 10m above Sea Surface given Frequency at Spectral Peak, you need Fetch Length (F_l) & Frequency at Spectral Peak (f_p). With our tool, you need to enter the respective value for Fetch Length & Frequency at Spectral Peak and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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