Equilibrium Form of PM Spectrum for Fully-Developed Seas Calculator

✖Wave Frequency is the number of waves that pass a fixed point in a given amount of time.ⓘ Wave Frequency [f]			+10% -10%
✖Wind Speed is a fundamental atmospheric quantity caused by air moving from high to low pressure, usually due to changes in temperature.ⓘ Wind Speed [U]			+10% -10%

✖Frequency Energy Spectrum is typically obtained by performing a Fourier transform of the time history of a ground motion or structural response.ⓘ Equilibrium Form of PM Spectrum for Fully-Developed Seas [E_f]

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Equilibrium Form of PM Spectrum for Fully-Developed Seas Solution

STEP 0: Pre-Calculation Summary

Formula Used

Frequency Energy Spectrum = ((0.0081*[g]^2)/((2*pi)^4*Wave Frequency^5))*exp(-0.24*((2*pi*Wind Speed*Wave Frequency)/[g])^-4)
E_f = ((0.0081*[g]^2)/((2*pi)^4*f^5))*exp(-0.24*((2*pi*U*f)/[g])^-4)
This formula uses 2 Constants, 1 Functions, 3 Variables

Constants Used

[g] - Gravitational acceleration on Earth Value Taken As 9.80665
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Functions Used

exp - n an exponential function, the value of the function changes by a constant factor for every unit change in the independent variable., exp(Number)

Variables Used

Frequency Energy Spectrum - Frequency Energy Spectrum is typically obtained by performing a Fourier transform of the time history of a ground motion or structural response.
Wave Frequency - (Measured in Kilohertz) - Wave Frequency is the number of waves that pass a fixed point in a given amount of time.
Wind Speed - (Measured in Meter per Second) - Wind Speed is a fundamental atmospheric quantity caused by air moving from high to low pressure, usually due to changes in temperature.

STEP 1: Convert Input(s) to Base Unit

Wave Frequency: 8 Kilohertz --> 8 Kilohertz No Conversion Required
Wind Speed: 4 Meter per Second --> 4 Meter per Second No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

E_f = ((0.0081*[g]^2)/((2*pi)^4*f^5))*exp(-0.24*((2*pi*U*f)/[g])^-4) --> ((0.0081*[g]^2)/((2*pi)^4*8^5))*exp(-0.24*((2*pi*4*8)/[g])^-4)

Evaluating ... ...

E_f = 1.52530386864411E-08

STEP 3: Convert Result to Output's Unit

1.52530386864411E-08 --> No Conversion Required

FINAL ANSWER

1.52530386864411E-08 ≈ 1.5E-8 <-- Frequency Energy Spectrum

(Calculation completed in 00.004 seconds)

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Created by Mithila Muthamma PA

Coorg Institute of Technology (CIT), Coorg

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Equilibrium Form of PM Spectrum for Fully-Developed Seas Formula

LaTeX Go

Frequency Energy Spectrum = ((0.0081*[g]^2)/((2*pi)^4*Wave Frequency^5))*exp(-0.24*((2*pi*Wind Speed*Wave Frequency)/[g])^-4)
E_f = ((0.0081*[g]^2)/((2*pi)^4*f^5))*exp(-0.24*((2*pi*U*f)/[g])^-4)

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How to Calculate Equilibrium Form of PM Spectrum for Fully-Developed Seas?

Equilibrium Form of PM Spectrum for Fully-Developed Seas calculator uses Frequency Energy Spectrum = ((0.0081*[g]^2)/((2*pi)^4*Wave Frequency^5))*exp(-0.24*((2*pi*Wind Speed*Wave Frequency)/[g])^-4) to calculate the Frequency Energy Spectrum, The Equilibrium Form of PM Spectrum for Fully-Developed Seas spectrum describes the distribution of wave energy in fully developed seas, where the wind has been blowing over a sufficiently long distance and time to fully develop the wave field. In this state, the energy input from the wind is balanced by the energy dissipation due to wave breaking and other processes, leading to a stationary wave spectrum. Frequency Energy Spectrum is denoted by E_f symbol.

How to calculate Equilibrium Form of PM Spectrum for Fully-Developed Seas using this online calculator? To use this online calculator for Equilibrium Form of PM Spectrum for Fully-Developed Seas, enter Wave Frequency (f) & Wind Speed (U) and hit the calculate button. Here is how the Equilibrium Form of PM Spectrum for Fully-Developed Seas calculation can be explained with given input values -> 1.5E-8 = ((0.0081*[g]^2)/((2*pi)^4*8000^5))*exp(-0.24*((2*pi*4*8000)/[g])^-4).

FAQ

What is Equilibrium Form of PM Spectrum for Fully-Developed Seas?

The Equilibrium Form of PM Spectrum for Fully-Developed Seas spectrum describes the distribution of wave energy in fully developed seas, where the wind has been blowing over a sufficiently long distance and time to fully develop the wave field. In this state, the energy input from the wind is balanced by the energy dissipation due to wave breaking and other processes, leading to a stationary wave spectrum and is represented as E_f = ((0.0081*[g]^2)/((2*pi)^4*f^5))*exp(-0.24*((2*pi*U*f)/[g])^-4) or Frequency Energy Spectrum = ((0.0081*[g]^2)/((2*pi)^4*Wave Frequency^5))*exp(-0.24*((2*pi*Wind Speed*Wave Frequency)/[g])^-4). Wave Frequency is the number of waves that pass a fixed point in a given amount of time & Wind Speed is a fundamental atmospheric quantity caused by air moving from high to low pressure, usually due to changes in temperature.

How to calculate Equilibrium Form of PM Spectrum for Fully-Developed Seas?

The Equilibrium Form of PM Spectrum for Fully-Developed Seas spectrum describes the distribution of wave energy in fully developed seas, where the wind has been blowing over a sufficiently long distance and time to fully develop the wave field. In this state, the energy input from the wind is balanced by the energy dissipation due to wave breaking and other processes, leading to a stationary wave spectrum is calculated using Frequency Energy Spectrum = ((0.0081*[g]^2)/((2*pi)^4*Wave Frequency^5))*exp(-0.24*((2*pi*Wind Speed*Wave Frequency)/[g])^-4). To calculate Equilibrium Form of PM Spectrum for Fully-Developed Seas, you need Wave Frequency (f) & Wind Speed (U). With our tool, you need to enter the respective value for Wave Frequency & Wind Speed 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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