Frequency of Spectral Peak Given Wind Speed Solution

STEP 0: Pre-Calculation Summary
Formula Used
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)
fp = ([g]*(s/11.5)^(-1/2.5))/(2*pi*V10)
This formula uses 2 Constants, 3 Variables
Constants Used
[g] - Gravitational acceleration on Earth Value Taken As 9.80665
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288
Variables Used
Frequency at Spectral Peak - (Measured in Hertz) - Frequency at Spectral Peak is the number of occurrences of a repeating event per unit of time.
Controlling Parameter for the Angular Distribution - Controlling Parameter for the Angular Distribution determines the peakedness of the directional spreading.
Wind Speed at Height of 10 m - (Measured in Meter per Second) - Wind Speed at Height of 10 m is the ten-meter wind speed measured ten meters above the top of the datum of consideration.
STEP 1: Convert Input(s) to Base Unit
Controlling Parameter for the Angular Distribution: 2.5E-05 --> No Conversion Required
Wind Speed at Height of 10 m: 22 Meter per Second --> 22 Meter per Second No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
fp = ([g]*(s/11.5)^(-1/2.5))/(2*pi*V10) --> ([g]*(2.5E-05/11.5)^(-1/2.5))/(2*pi*22)
Evaluating ... ...
fp = 13.062348278285
STEP 3: Convert Result to Output's Unit
13.062348278285 Hertz -->0.013062348278285 Kilohertz (Check conversion here)
FINAL ANSWER
0.013062348278285 0.013062 Kilohertz <-- Frequency at Spectral Peak
(Calculation completed in 00.020 seconds)

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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)
Wind Speed at Elevation 10m above Sea Surface given Frequency at Spectral Peak
Go Wind Speed at Height of 10 m = ((Fetch Length*[g]^2)/(Frequency at Spectral Peak/3.5)^-(1/0.33))^(1/3)
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)
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 = 1-0.5*(2-Wave Angular Frequency)^2
Weighing Factor for angular frequency lesser than or equal to one
Go Weighing Factor = 0.5*Wave Angular Frequency^2

Frequency of Spectral Peak Given Wind Speed Formula

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)
fp = ([g]*(s/11.5)^(-1/2.5))/(2*pi*V10)

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 Frequency of Spectral Peak Given Wind Speed?

Frequency of Spectral Peak Given Wind Speed calculator uses 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) to calculate the Frequency at Spectral Peak, Frequency of spectral peak given wind speed is defined as range of frequencies contained by signal. Wave spectra are used by oceanographers to describe distribution of energy at different frequencies. Frequency at Spectral Peak is denoted by fp symbol.

How to calculate Frequency of Spectral Peak Given Wind Speed using this online calculator? To use this online calculator for Frequency of Spectral Peak Given Wind Speed, enter Controlling Parameter for the Angular Distribution (s) & Wind Speed at Height of 10 m (V10) and hit the calculate button. Here is how the Frequency of Spectral Peak Given Wind Speed calculation can be explained with given input values -> 1.3E-5 = ([g]*(2.5E-05/11.5)^(-1/2.5))/(2*pi*22).

FAQ

What is Frequency of Spectral Peak Given Wind Speed?
Frequency of spectral peak given wind speed is defined as range of frequencies contained by signal. Wave spectra are used by oceanographers to describe distribution of energy at different frequencies and is represented as fp = ([g]*(s/11.5)^(-1/2.5))/(2*pi*V10) or 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). Controlling Parameter for the Angular Distribution determines the peakedness of the directional spreading & Wind Speed at Height of 10 m is the ten-meter wind speed measured ten meters above the top of the datum of consideration.
How to calculate Frequency of Spectral Peak Given Wind Speed?
Frequency of spectral peak given wind speed is defined as range of frequencies contained by signal. Wave spectra are used by oceanographers to describe distribution of energy at different frequencies is calculated using 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). To calculate Frequency of Spectral Peak Given Wind Speed, you need Controlling Parameter for the Angular Distribution (s) & Wind Speed at Height of 10 m (V10). With our tool, you need to enter the respective value for Controlling Parameter for the Angular Distribution & Wind Speed at Height of 10 m and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
How many ways are there to calculate Frequency at Spectral Peak?
In this formula, Frequency at Spectral Peak uses Controlling Parameter for the Angular Distribution & Wind Speed at Height of 10 m. We can use 2 other way(s) to calculate the same, which is/are as follows -
  • Frequency at Spectral Peak = 3.5*(([g]^2*Fetch Length)/Wind Speed at Height of 10 m^3)^-0.33
  • 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)
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