Mean Crest Period Calculator

✖Moment of Wave Spectrum 2 in terms of cyclic frequency are used to characterize its shape and intensity.ⓘ Moment of Wave Spectrum 2 [m₂]			+10% -10%
✖Moment of Wave Spectrum 4 in terms of cyclic frequency are used to characterize its shape and intensity.ⓘ Moment of Wave Spectrum 4 [m₄]			+10% -10%

✖Wave Crest Period is a measurement used in oceanography and meteorology to describe the time interval between successive wave crests passing a fixed point.ⓘ Mean Crest Period [T_c]

⎘ Copy

👎

Formula

✖

Mean Crest Period

Formula

`"T"_{"c"} = 2*pi*("m"_{"2"}/"m"_{"4"})`

Example

`"14.90925s"=2*pi*("1.4"/"0.59")`

Calculator

LaTeX

Reset

👍

Download Wave Period Distribution and Wave Spectrum Formulas PDF PDF Image

Mean Crest Period Solution

STEP 0: Pre-Calculation Summary

Formula Used

Wave Crest Period = 2*pi*(Moment of Wave Spectrum 2/Moment of Wave Spectrum 4)
T_c = 2*pi*(m₂/m₄)
This formula uses 1 Constants, 3 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

Wave Crest Period - (Measured in Second) - Wave Crest Period is a measurement used in oceanography and meteorology to describe the time interval between successive wave crests passing a fixed point.
Moment of Wave Spectrum 2 - Moment of Wave Spectrum 2 in terms of cyclic frequency are used to characterize its shape and intensity.
Moment of Wave Spectrum 4 - Moment of Wave Spectrum 4 in terms of cyclic frequency are used to characterize its shape and intensity.

STEP 1: Convert Input(s) to Base Unit

Moment of Wave Spectrum 2: 1.4 --> No Conversion Required
Moment of Wave Spectrum 4: 0.59 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

T_c = 2*pi*(m₂/m₄) --> 2*pi*(1.4/0.59)

Evaluating ... ...

T_c = 14.9092532712736

STEP 3: Convert Result to Output's Unit

14.9092532712736 Second --> No Conversion Required

FINAL ANSWER

14.9092532712736 ≈ 14.90925 Second <-- Wave Crest 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 Crest 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!

< 10+ 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 Bandwidth = 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)

Maximum Wave Period

Go Maximum Wave Period = Coefficient Eckman*Mean Wave Period

Mean Crest Period Formula

Wave Crest Period = 2*pi*(Moment of Wave Spectrum 2/Moment of Wave Spectrum 4)
T_c = 2*pi*(m₂/m₄)

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 Crest Period?

Mean Crest Period calculator uses Wave Crest Period = 2*pi*(Moment of Wave Spectrum 2/Moment of Wave Spectrum 4) to calculate the Wave Crest Period, The Mean Crest Period formula is defined as the time taken for two successive crests (or troughs) to pass a fixed point. Wave Crest Period is denoted by T_c symbol.

How to calculate Mean Crest Period using this online calculator? To use this online calculator for Mean Crest Period, enter Moment of Wave Spectrum 2 (m₂) & Moment of Wave Spectrum 4 (m₄) and hit the calculate button. Here is how the Mean Crest Period calculation can be explained with given input values -> 29.32153 = 2*pi*(1.4/0.59).

FAQ

What is Mean Crest Period?

The Mean Crest Period formula is defined as the time taken for two successive crests (or troughs) to pass a fixed point and is represented as T_c = 2*pi*(m₂/m₄) or Wave Crest Period = 2*pi*(Moment of Wave Spectrum 2/Moment of Wave Spectrum 4). Moment of Wave Spectrum 2 in terms of cyclic frequency are used to characterize its shape and intensity & Moment of Wave Spectrum 4 in terms of cyclic frequency are used to characterize its shape and intensity.

How to calculate Mean Crest Period?

The Mean Crest Period formula is defined as the time taken for two successive crests (or troughs) to pass a fixed point is calculated using Wave Crest Period = 2*pi*(Moment of Wave Spectrum 2/Moment of Wave Spectrum 4). To calculate Mean Crest Period, you need Moment of Wave Spectrum 2 (m₂) & Moment of Wave Spectrum 4 (m₄). With our tool, you need to enter the respective value for Moment of Wave Spectrum 2 & Moment of Wave Spectrum 4 and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

Home

FREE PDFs

🔍 Search