Significant Wave Height of Record based upon Rayleigh Distribution Calculator

✖Root Mean Square Wave Height is the square root of the average of the squares of all wave heights.ⓘ Root Mean Square Wave Height [H_rms]

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✖Significant Wave Height is the mean wave height of the highest one-third of the waves.ⓘ Significant Wave Height of Record based upon Rayleigh Distribution [H_s]

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Significant Wave Height of Record based upon Rayleigh Distribution Solution

STEP 0: Pre-Calculation Summary

Formula Used

Significant Wave Height = 1.414*Root Mean Square Wave Height
H_s = 1.414*H_rms
This formula uses 2 Variables

Variables Used

Significant Wave Height - (Measured in Meter) - Significant Wave Height is the mean wave height of the highest one-third of the waves.
Root Mean Square Wave Height - (Measured in Meter) - Root Mean Square Wave Height is the square root of the average of the squares of all wave heights.

STEP 1: Convert Input(s) to Base Unit

Root Mean Square Wave Height: 45 Meter --> 45 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

H_s = 1.414*H_rms --> 1.414*45

Evaluating ... ...

H_s = 63.63

STEP 3: Convert Result to Output's Unit

63.63 Meter --> No Conversion Required

FINAL ANSWER

63.63 Meter <-- Significant Wave Height

(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!

Verified by M Naveen

National Institute of Technology (NIT), Warangal

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< Wave Statistics Relationships Calculators

Significant Wave Height of Record for Probability of Exceedance

LaTeX Go Significant Wave Height = Wave Height/(Probability of Exceedance of Wave Height/e^-2)^0.5

Wave Height of Record for Probability of Exceedance

LaTeX Go Wave Height = Significant Wave Height*(Probability of Exceedance of Wave Height/e^-2)^0.5

Probability of Exceedance of Wave Height

LaTeX Go Probability of Exceedance of Wave Height = (e^-2)*(Wave Height/Significant Wave Height)^2

Significant Wave Height of Record based upon Rayleigh Distribution

LaTeX Go Significant Wave Height = 1.414*Root Mean Square Wave Height

Significant Wave Height of Record based upon Rayleigh Distribution Formula

LaTeX Go

Significant Wave Height = 1.414*Root Mean Square Wave Height
H_s = 1.414*H_rms

What is Significant Wave Height?

Significant Wave Height is defined as the average wave height, from trough to crest, of the highest one-third of the waves. Devised by oceanographer Walter Munk during World War II, the significant wave height provides an estimation of wave heights recorded by a trained observer from a fixed point at sea.

What is Wave Number?

Wave Number is the distance between corresponding points of two consecutive waves. “Corresponding points” refers to two points or particles in the same phase i.e., points that have completed identical fractions of their periodic motion.

How to Calculate Significant Wave Height of Record based upon Rayleigh Distribution?

Significant Wave Height of Record based upon Rayleigh Distribution calculator uses Significant Wave Height = 1.414*Root Mean Square Wave Height to calculate the Significant Wave Height, The Significant Wave Height of Record based upon Rayleigh Distribution formula is defined as the average height of the highest one-third of waves in a wave record. Significant Wave Height is denoted by H_s symbol.

How to calculate Significant Wave Height of Record based upon Rayleigh Distribution using this online calculator? To use this online calculator for Significant Wave Height of Record based upon Rayleigh Distribution, enter Root Mean Square Wave Height (H_rms) and hit the calculate button. Here is how the Significant Wave Height of Record based upon Rayleigh Distribution calculation can be explained with given input values -> 70.7 = 1.414*45.

FAQ

What is Significant Wave Height of Record based upon Rayleigh Distribution?

The Significant Wave Height of Record based upon Rayleigh Distribution formula is defined as the average height of the highest one-third of waves in a wave record and is represented as H_s = 1.414*H_rms or Significant Wave Height = 1.414*Root Mean Square Wave Height. Root Mean Square Wave Height is the square root of the average of the squares of all wave heights.

How to calculate Significant Wave Height of Record based upon Rayleigh Distribution?

The Significant Wave Height of Record based upon Rayleigh Distribution formula is defined as the average height of the highest one-third of waves in a wave record is calculated using Significant Wave Height = 1.414*Root Mean Square Wave Height. To calculate Significant Wave Height of Record based upon Rayleigh Distribution, you need Root Mean Square Wave Height (H_rms). With our tool, you need to enter the respective value for Root Mean Square Wave Height 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 Root Mean Square Wave Height. We can use 2 other way(s) to calculate the same, which is/are as follows -

Significant Wave Height = Wave Height/(Probability of Exceedance of Wave Height/e^-2)^0.5
Significant Wave Height = 1.596*Average of All Waves

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