Significant Wave Height given Zero-th Moment 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]

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✖Significant Wave Height is defined traditionally as the mean wave height of the highest third of the waves.ⓘ Significant Wave Height given Zero-th Moment [H_s]

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Formula

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Significant Wave Height given Zero-th Moment

Formula

`"H"_{"s"} = 4*sqrt("m"_{"0"})`

Example

`"65.11528m"=4*sqrt("265")`

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Significant Wave Height given Zero-th Moment Solution

STEP 0: Pre-Calculation Summary

Formula Used

Significant Wave Height = 4*sqrt(Zero-th Moment of Wave Spectrum)
H_s = 4*sqrt(m₀)
This formula uses 1 Functions, 2 Variables

Functions Used

sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)

Variables Used

Significant Wave Height - (Measured in Meter) - Significant Wave Height is defined traditionally as the mean wave height of the highest third of the waves.
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.

STEP 1: Convert Input(s) to Base Unit

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

STEP 2: Evaluate Formula

Substituting Input Values in Formula

H_s = 4*sqrt(m₀) --> 4*sqrt(265)

Evaluating ... ...

H_s = 65.1152823843988

STEP 3: Convert Result to Output's Unit

65.1152823843988 Meter --> No Conversion Required

FINAL ANSWER

65.1152823843988 ≈ 65.11528 Meter <-- Significant Wave Height

(Calculation completed in 00.020 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!

Verified by Chandana P Dev

NSS College of Engineering (NSSCE), Palakkad

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< 12 Zero-Crossing Method Calculators

Probability that Wave Height is Lesser than or Equal to Design Wave Height

Go Probability = 1-(Number of Waves Higher than Design Wave Height/Wave Number)

Probability that Wave Height is Greater than or Equal to Design Wave Height

Go Probability = Number of Waves Higher than Design Wave Height/Wave Number

Significant Wave Height given Zero-th Moment

Go Significant Wave Height = 4*sqrt(Zero-th Moment of Wave Spectrum)

Number of Zero Up-Crossings given Zero-Crossing Period

Go Number of Zero-Upcrossings = Record Length/Zero-Crossing Period

Record Length given Zero-Crossing Period

Go Record Length = Zero-Crossing Period*Number of Zero-Upcrossings

Zero-Crossing Period

Go Zero-Crossing Period = Record Length/Number of Zero-Upcrossings

Number of Crests in Wave Record given Wave Crest Period

Go Number of Crests = Record Length/Wave Crest Period

Record Length given Wave Crest Period

Go Record Length = Wave Crest Period*Number of Crests

Wave Crest Period

Go Wave Crest Period = Record Length/Number of Crests

Zero-th Moment given Significant Wave Height

Go Zero-th Moment of Wave Spectrum = (Significant Wave Height/4)^2

Root Mean Square Surface Elevation given Significant Wave Height

Go RMS Surface Elevation = Significant Wave Height/4

Significant Wave Height given rms Surface Elevation

Go Significant Wave Height = 4*RMS Surface Elevation

Significant Wave Height given Zero-th Moment Formula

Significant Wave Height = 4*sqrt(Zero-th Moment of Wave Spectrum)
H_s = 4*sqrt(m₀)

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 Significant Wave Height given Zero-th Moment?

Significant Wave Height given Zero-th Moment calculator uses Significant Wave Height = 4*sqrt(Zero-th Moment of Wave Spectrum) to calculate the Significant Wave Height, The Significant Wave Height given Zero-th Moment formula is defined as the difference between the elevations of a crest and a neighboring trough. Wave height is a term used by mariners, as well as in coastal, ocean and naval engineering. Significant Wave Height is denoted by H_s symbol.

How to calculate Significant Wave Height given Zero-th Moment using this online calculator? To use this online calculator for Significant Wave Height given Zero-th Moment, enter Zero-th Moment of Wave Spectrum (m₀) and hit the calculate button. Here is how the Significant Wave Height given Zero-th Moment calculation can be explained with given input values -> 65.11528 = 4*sqrt(265).

FAQ

What is Significant Wave Height given Zero-th Moment?

The Significant Wave Height given Zero-th Moment formula is defined as the difference between the elevations of a crest and a neighboring trough. Wave height is a term used by mariners, as well as in coastal, ocean and naval engineering and is represented as H_s = 4*sqrt(m₀) or Significant Wave Height = 4*sqrt(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.

How to calculate Significant Wave Height given Zero-th Moment?

The Significant Wave Height given Zero-th Moment formula is defined as the difference between the elevations of a crest and a neighboring trough. Wave height is a term used by mariners, as well as in coastal, ocean and naval engineering is calculated using Significant Wave Height = 4*sqrt(Zero-th Moment of Wave Spectrum). To calculate Significant Wave Height given Zero-th Moment, you need Zero-th Moment of Wave Spectrum (m₀). With our tool, you need to enter the respective value for Zero-th Moment of Wave Spectrum 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 Significant Wave Height?

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

Significant Wave Height = 4*RMS Surface Elevation

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