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

STEP 0: Pre-Calculation Summary
Formula Used
Phillip's Equilibrium Range of Spectrum = Constant B*[g]^2*Wave Angular Frequency^-5
Eω = b*[g]^2*ω^-5
This formula uses 1 Constants, 3 Variables
Constants Used
[g] - Gravitational acceleration on Earth Value Taken As 9.80665
Variables Used
Phillip's Equilibrium Range of Spectrum - Phillip's Equilibrium Range of Spectrum is the range of wave frequencies for which the rate of energy input from the wind matches the rate of dissipation due to wave breaking.
Constant B - Constant B often refers to the significant wave height. Significant wave height is defined as the average of the highest one-third of waves in a wave record.
Wave Angular Frequency - (Measured in Radian per Second) - Wave Angular Frequency is the rate of change of the phase of the wave over time, given by the symbol ω (omega).
STEP 1: Convert Input(s) to Base Unit
Constant B: 0.1 --> No Conversion Required
Wave Angular Frequency: 6.2 Radian per Second --> 6.2 Radian per Second No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Eω = b*[g]^2*ω^-5 --> 0.1*[g]^2*6.2^-5
Evaluating ... ...
Eω = 0.00104974279780533
STEP 3: Convert Result to Output's Unit
0.00104974279780533 --> No Conversion Required
FINAL ANSWER
0.00104974279780533 0.00105 <-- Phillip's Equilibrium Range of Spectrum
(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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National Institute of Technology (NIT), Warangal
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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

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

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

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

Phillip's Equilibrium Range of Spectrum for Fully Developed Sea in Deep Water calculator uses Phillip's Equilibrium Range of Spectrum = Constant B*[g]^2*Wave Angular Frequency^-5 to calculate the Phillip's Equilibrium Range of Spectrum, The Phillip's Equilibrium Range of Spectrum for Fully Developed Sea in Deep Water formula is defined as the energy distribution of ocean waves in a fully developed sea state in deep water. Phillip's Equilibrium Range of Spectrum is denoted by Eω symbol.

How to calculate Phillip's Equilibrium Range of Spectrum for Fully Developed Sea in Deep Water using this online calculator? To use this online calculator for Phillip's Equilibrium Range of Spectrum for Fully Developed Sea in Deep Water, enter Constant B (b) & Wave Angular Frequency (ω) and hit the calculate button. Here is how the Phillip's Equilibrium Range of Spectrum for Fully Developed Sea in Deep Water calculation can be explained with given input values -> 0.00105 = 0.1*[g]^2*6.2^-5.

FAQ

What is Phillip's Equilibrium Range of Spectrum for Fully Developed Sea in Deep Water?
The Phillip's Equilibrium Range of Spectrum for Fully Developed Sea in Deep Water formula is defined as the energy distribution of ocean waves in a fully developed sea state in deep water and is represented as Eω = b*[g]^2*ω^-5 or Phillip's Equilibrium Range of Spectrum = Constant B*[g]^2*Wave Angular Frequency^-5. Constant B often refers to the significant wave height. Significant wave height is defined as the average of the highest one-third of waves in a wave record & Wave Angular Frequency is the rate of change of the phase of the wave over time, given by the symbol ω (omega).
How to calculate Phillip's Equilibrium Range of Spectrum for Fully Developed Sea in Deep Water?
The Phillip's Equilibrium Range of Spectrum for Fully Developed Sea in Deep Water formula is defined as the energy distribution of ocean waves in a fully developed sea state in deep water is calculated using Phillip's Equilibrium Range of Spectrum = Constant B*[g]^2*Wave Angular Frequency^-5. To calculate Phillip's Equilibrium Range of Spectrum for Fully Developed Sea in Deep Water, you need Constant B (b) & Wave Angular Frequency (ω). With our tool, you need to enter the respective value for Constant B & Wave Angular Frequency 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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