Normal Distribution with Wave Period Calculator

✖Zero-th Moment of Wave Spectrum is a measure of the total energy contained in the wave spectrum. It represents the integral of the wave spectrum over all frequencies.ⓘ Zero-th Moment of Wave Spectrum [m₀]			+10% -10%
✖Moment of Wave Spectrum 1 in terms of cyclic frequency.ⓘ Moment of Wave Spectrum 1 [m₁]			+10% -10%

✖Wave Period is the time between successive peaks or troughs.ⓘ Normal Distribution with Wave Period [P]

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Formula

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Normal Distribution with Wave Period

Formula

`"P" = "m"_{"0"}/"m"_{"1"}`

Example

`"132.5"="265"/"2"`

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Normal Distribution with Wave Period Solution

STEP 0: Pre-Calculation Summary

Formula Used

Wave Period = Zero-th Moment of Wave Spectrum/Moment of Wave Spectrum 1
P = m₀/m₁
This formula uses 3 Variables

Variables Used

Wave Period - Wave Period is the time between successive peaks or troughs.
Zero-th Moment of Wave Spectrum - Zero-th Moment of Wave Spectrum is a measure of the total energy contained in the wave spectrum. It represents the integral of the wave spectrum over all frequencies.
Moment of Wave Spectrum 1 - Moment of Wave Spectrum 1 in terms of cyclic frequency.

STEP 1: Convert Input(s) to Base Unit

Zero-th Moment of Wave Spectrum: 265 --> No Conversion Required
Moment of Wave Spectrum 1: 2 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

P = m₀/m₁ --> 265/2

Evaluating ... ...

P = 132.5

STEP 3: Convert Result to Output's Unit

132.5 --> No Conversion Required

FINAL ANSWER

132.5 <-- Wave Period

(Calculation completed in 00.004 seconds)

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Created by Mithila Muthamma PA

Coorg Institute of Technology (CIT), Coorg

Mithila Muthamma PA has created this Calculator and 2000+ more calculators!

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NSS College of Engineering (NSSCE), Palakkad

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< 12 Wave Period Distribution and Wave Spectrum Calculators

Equilibrium Form of PM Spectrum for Fully-Developed Seas

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)

Most Probable Maximum Wave Period

Go Maximum Wave Period = 2*sqrt(1+Spectral Width^2)/1+sqrt(1+(16*Spectral Width^2/pi*Wave Height^2))

Probability Density of Wave Period

Go Probability = 2.7*(Wave Period^3/Mean Wave Period)*exp(-0.675*(Wave Period/Mean Wave Period)^4)

Wave Component Amplitude

Go Wave Amplitude = sqrt(0.5*sqrt(Coefficient of Wave Component Amplitude^2+Coefficient of Wave Component Amplitude bn^2))

Spectral Bandwidth

Go Spectral Width = sqrt(1-(Moment of Wave Spectrum 2^2/(Zero-th Moment of Wave Spectrum*Moment of Wave Spectrum 4)))

Spectral Width

Go Spectral Width = sqrt((Zero-th Moment of Wave Spectrum*Moment of Wave Spectrum 2/Moment of Wave Spectrum 1^2)-1)

Mean Zero-upcrossing Period

Go Mean Zero-upcrossing Period = 2*pi*sqrt(Zero-th Moment of Wave Spectrum/Moment of Wave Spectrum 2)

Relative Phase given coefficients

Go Relative Phase = atanh(Coefficient of Wave Component Amplitude bn/Coefficient of Wave Component Amplitude)

Mean Crest Period

Go Wave Crest Period = 2*pi*(Moment of Wave Spectrum 2/Moment of Wave Spectrum 4)

Mean Wave Period

Go Wave Period = 2*pi*(Zero-th Moment of Wave Spectrum/Moment of Wave Spectrum 1)

Normal Distribution with Wave Period

Go Wave Period = Zero-th Moment of Wave Spectrum/Moment of Wave Spectrum 1

Maximum Wave Period

Go Maximum Wave Period = Coefficient Eckman*Mean Wave Period

Normal Distribution with Wave Period Formula

Wave Period = Zero-th Moment of Wave Spectrum/Moment of Wave Spectrum 1
P = m₀/m₁

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 Normal Distribution with Wave Period?

Normal Distribution with Wave Period calculator uses Wave Period = Zero-th Moment of Wave Spectrum/Moment of Wave Spectrum 1 to calculate the Wave Period, The Normal Distribution with Wave Period is the wave period distribution function assuming the wave period squared follows a Rayleigh distribution. Wave Period is denoted by P symbol.

How to calculate Normal Distribution with Wave Period using this online calculator? To use this online calculator for Normal Distribution with Wave Period, enter Zero-th Moment of Wave Spectrum (m₀) & Moment of Wave Spectrum 1 (m₁) and hit the calculate button. Here is how the Normal Distribution with Wave Period calculation can be explained with given input values -> 132.5 = 265/2.

FAQ

What is Normal Distribution with Wave Period?

The Normal Distribution with Wave Period is the wave period distribution function assuming the wave period squared follows a Rayleigh distribution and is represented as P = m₀/m₁ or Wave Period = Zero-th Moment of Wave Spectrum/Moment of Wave Spectrum 1. Zero-th Moment of Wave Spectrum is a measure of the total energy contained in the wave spectrum. It represents the integral of the wave spectrum over all frequencies & Moment of Wave Spectrum 1 in terms of cyclic frequency.

How to calculate Normal Distribution with Wave Period?

The Normal Distribution with Wave Period is the wave period distribution function assuming the wave period squared follows a Rayleigh distribution is calculated using Wave Period = Zero-th Moment of Wave Spectrum/Moment of Wave Spectrum 1. To calculate Normal Distribution with Wave Period, you need Zero-th Moment of Wave Spectrum (m₀) & Moment of Wave Spectrum 1 (m₁). With our tool, you need to enter the respective value for Zero-th Moment of Wave Spectrum & Moment of Wave Spectrum 1 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 Wave Period?

In this formula, Wave Period uses Zero-th Moment of Wave Spectrum & Moment of Wave Spectrum 1. We can use 1 other way(s) to calculate the same, which is/are as follows -

Wave Period = 2*pi*(Zero-th Moment of Wave Spectrum/Moment of Wave Spectrum 1)

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