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%
✖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.ⓘ Wind Speed at Height of 10 m [V₁₀]			+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]

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Frequency at Spectral Peak Solution

STEP 0: Pre-Calculation Summary

Formula Used

Frequency at Spectral Peak = 3.5*(([g]^2*Fetch Length)/Wind Speed at Height of 10 m^3)^-0.33
f_p = 3.5*(([g]^2*F_l)/V₁₀^3)^-0.33
This formula uses 1 Constants, 3 Variables

Constants Used

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

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.
Fetch Length - (Measured in Meter) - Fetch Length is the unobstructed distance that wind can travel over water in a constant direction.
Wind Speed at Height of 10 m - (Measured in Meter per Second) - 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.

STEP 1: Convert Input(s) to Base Unit

Fetch Length: 2 Meter --> 2 Meter 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

f_p = 3.5*(([g]^2*F_l)/V₁₀^3)^-0.33 --> 3.5*(([g]^2*2)/22^3)^-0.33

Evaluating ... ...

f_p = 13.1620323508518

STEP 3: Convert Result to Output's Unit

13.1620323508518 Hertz -->0.0131620323508518 Kilohertz (Check conversion here)

FINAL ANSWER

0.0131620323508518 ≈ 0.013162 Kilohertz <-- Frequency at Spectral Peak

(Calculation completed in 00.020 seconds)

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Created by Mithila Muthamma PA

Coorg Institute of Technology (CIT), Coorg

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< Parametric Spectrum Models Calculators

JONSWAP Spectrum for Fetch-limited Seas

LaTeX 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))

Fetch Length given Frequency at Spectral Peak

LaTeX 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

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

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

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

Frequency at Spectral Peak Formula

LaTeX Go

Frequency at Spectral Peak = 3.5*(([g]^2*Fetch Length)/Wind Speed at Height of 10 m^3)^-0.33
f_p = 3.5*(([g]^2*F_l)/V₁₀^3)^-0.33

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 at Spectral Peak?

Frequency at Spectral Peak calculator uses Frequency at Spectral Peak = 3.5*(([g]^2*Fetch Length)/Wind Speed at Height of 10 m^3)^-0.33 to calculate the Frequency at Spectral Peak, The Frequency at Spectral Peak formula is defined as the range of frequencies contained by a signal. Wave spectra are used by oceanographers to describe the distribution of energy at different frequencies. Frequency at Spectral Peak is denoted by f_p symbol.

How to calculate Frequency at Spectral Peak using this online calculator? To use this online calculator for Frequency at Spectral Peak, enter Fetch Length (F_l) & Wind Speed at Height of 10 m (V₁₀) and hit the calculate button. Here is how the Frequency at Spectral Peak calculation can be explained with given input values -> 1.3E-5 = 3.5*(([g]^2*2)/22^3)^-0.33.

FAQ

What is Frequency at Spectral Peak?

The Frequency at Spectral Peak formula is defined as the range of frequencies contained by a signal. Wave spectra are used by oceanographers to describe the distribution of energy at different frequencies and is represented as f_p = 3.5*(([g]^2*F_l)/V₁₀^3)^-0.33 or Frequency at Spectral Peak = 3.5*(([g]^2*Fetch Length)/Wind Speed at Height of 10 m^3)^-0.33. Fetch Length is the unobstructed distance that wind can travel over water in a constant direction & 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.

How to calculate Frequency at Spectral Peak?

The Frequency at Spectral Peak formula is defined as the range of frequencies contained by a signal. Wave spectra are used by oceanographers to describe the distribution of energy at different frequencies is calculated using Frequency at Spectral Peak = 3.5*(([g]^2*Fetch Length)/Wind Speed at Height of 10 m^3)^-0.33. To calculate Frequency at Spectral Peak, you need Fetch Length (F_l) & Wind Speed at Height of 10 m (V₁₀). With our tool, you need to enter the respective value for Fetch Length & 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.

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