Mean Wave Period Calculator

✖Zero-th Moment of Wave Spectrum in terms of cyclic frequency.ⓘ 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.ⓘ Mean Wave Period [P]

⎘ Copy

👎

Formula

✖

Mean Wave Period

Formula

`"P" = 2*pi*("m"_{"0"}/"m"_{"1"})`

Example

`"832.5221"=2*pi*("265"/"2")`

Calculator

LaTeX

Reset

👍

Download Coastal and Ocean Engineering Formula PDF

Mean Wave Period Solution

STEP 0: Pre-Calculation Summary

Formula Used

Wave Period = 2*pi*(Zero-th Moment of Wave Spectrum/Moment of Wave Spectrum 1)
P = 2*pi*(m₀/m₁)
This formula uses 1 Constants, 3 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

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 in terms of cyclic frequency.
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 = 2*pi*(m₀/m₁) --> 2*pi*(265/2)

Evaluating ... ...

P = 832.522053201295

STEP 3: Convert Result to Output's Unit

832.522053201295 --> No Conversion Required

FINAL ANSWER

832.522053201295 ≈ 832.5221 <-- Wave Period

(Calculation completed in 00.004 seconds)

You are here -

Home » Engineering » Civil » Coastal and Ocean Engineering » Water Wave Mechanics » Wave Period Distribution and Wave Spectrum » Mean Wave Period

Credits

Created by Mithila Muthamma PA

Coorg Institute of Technology (CIT), Coorg

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

Verified by Chandana P Dev

NSS College of Engineering (NSSCE), Palakkad

Chandana P Dev has verified this Calculator and 1700+ more calculators!

< 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

Mean Wave Period Formula

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

Mean Wave Period calculator uses Wave Period = 2*pi*(Zero-th Moment of Wave Spectrum/Moment of Wave Spectrum 1) to calculate the Wave Period, The Mean Wave Period of a wave is the time for a particle on a medium to make one complete vibrational cycle. Wave Period is denoted by P symbol.

How to calculate Mean Wave Period using this online calculator? To use this online calculator for Mean 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 Mean Wave Period calculation can be explained with given input values -> 832.5221 = 2*pi*(265/2).

FAQ

What is Mean Wave Period?

The Mean Wave Period of a wave is the time for a particle on a medium to make one complete vibrational cycle and is represented as P = 2*pi*(m₀/m₁) or Wave Period = 2*pi*(Zero-th Moment of Wave Spectrum/Moment of Wave Spectrum 1). Zero-th Moment of Wave Spectrum in terms of cyclic frequency & Moment of Wave Spectrum 1 in terms of cyclic frequency.

How to calculate Mean Wave Period?

The Mean Wave Period of a wave is the time for a particle on a medium to make one complete vibrational cycle is calculated using Wave Period = 2*pi*(Zero-th Moment of Wave Spectrum/Moment of Wave Spectrum 1). To calculate Mean 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 = Zero-th Moment of Wave Spectrum/Moment of Wave Spectrum 1

Home

FREE PDFs

🔍 Search