Root Mean Square Wave Height given Average of Waves based upon Rayleigh Distribution Calculator

✖Root-mean-square Wave Height is defined as square root of the average of the squares of all wave heights.ⓘ Root Mean Square Wave Height given Average of Waves based upon Rayleigh Distribution [H_rms]

⎘ Copy

👎

Formula

✖

Root Mean Square Wave Height given Average of Waves based upon Rayleigh Distribution

Formula

`"H"_{"rms"} = "H'"/0.886`

Example

`"45.14673m"="40"/0.886`

Calculator

LaTeX

Reset

👍

Download Coastal and Ocean Engineering Formula PDF PDF Image

Root Mean Square Wave Height given Average of Waves based upon Rayleigh Distribution Solution

STEP 0: Pre-Calculation Summary

Formula Used

Root-mean-square Wave Height = Average of All Waves/0.886
H_rms = H'/0.886
This formula uses 2 Variables

Variables Used

Root-mean-square Wave Height - (Measured in Meter) - Root-mean-square Wave Height is defined as square root of the average of the squares of all wave heights.
Average of All Waves - Average of All Waves based on the Rayleigh Distribution is the mean value of all the waves.

STEP 1: Convert Input(s) to Base Unit

Average of All Waves: 40 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

H_rms = H'/0.886 --> 40/0.886

Evaluating ... ...

H_rms = 45.1467268623025

STEP 3: Convert Result to Output's Unit

45.1467268623025 Meter --> No Conversion Required

FINAL ANSWER

45.1467268623025 ≈ 45.14673 Meter <-- Root-mean-square Wave Height

(Calculation completed in 00.004 seconds)

You are here -

Home » Engineering » Civil » Coastal and Ocean Engineering » Wave Prediction » Wave Statistics Relationships » Root Mean Square Wave Height given Average of Waves based upon Rayleigh Distribution

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 M Naveen

National Institute of Technology (NIT), Warangal

M Naveen has verified this Calculator and 900+ more calculators!

< 11 Wave Statistics Relationships Calculators

Significant Wave Height of Record for Probability of Exceedance

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

Wave Height of Record for Probability of Exceedance

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

Probability of Exceedance of Wave Height

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

Standard Deviation of Wave Height

Go Standard Deviation of Wave Height = 0.463*Root-mean-square Wave Height

Root Mean Square Wave Height

Go Root-mean-square Wave Height = Standard Deviation of Wave Height/0.463

Root Mean Square Wave Height given Significant Wave Height based on Rayleigh Distribution

Go Root-mean-square Wave Height = Significant Wave Height/1.414

Significant Wave Height of Record based upon Rayleigh Distribution

Go Significant Wave Height = 1.414*Root-mean-square Wave Height

Root Mean Square Wave Height given Average of Waves based upon Rayleigh Distribution

Go Root-mean-square Wave Height = Average of All Waves/0.886

Average of Waves based upon Rayleigh Distribution

Go Average of All Waves = 0.886*Root-mean-square Wave Height

Significant Wave Height given Average of Waves

Go Significant Wave Height = 1.596*Average of All Waves

Average of Waves given Significant Wave Height

Go Average of All Waves = Significant Wave Height/1.596

Root Mean Square Wave Height given Average of Waves based upon Rayleigh Distribution Formula

Root-mean-square Wave Height = Average of All Waves/0.886
H_rms = H'/0.886

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.

How to Calculate Root Mean Square Wave Height given Average of Waves based upon Rayleigh Distribution?

Root Mean Square Wave Height given Average of Waves based upon Rayleigh Distribution calculator uses Root-mean-square Wave Height = Average of All Waves/0.886 to calculate the Root-mean-square Wave Height, The Root Mean Square Wave Height given Average of Waves based upon Rayleigh Distribution is defined as square root of the average of the squares of all wave heights, is approximately equal to Hs divided by 1.4. The root-mean square wave height Hrms is the wave height representing the total energy content. Root-mean-square Wave Height is denoted by H_rms symbol.

How to calculate Root Mean Square Wave Height given Average of Waves based upon Rayleigh Distribution using this online calculator? To use this online calculator for Root Mean Square Wave Height given Average of Waves based upon Rayleigh Distribution, enter Average of All Waves (H') and hit the calculate button. Here is how the Root Mean Square Wave Height given Average of Waves based upon Rayleigh Distribution calculation can be explained with given input values -> 45.14673 = 40/0.886.

FAQ

What is Root Mean Square Wave Height given Average of Waves based upon Rayleigh Distribution?

The Root Mean Square Wave Height given Average of Waves based upon Rayleigh Distribution is defined as square root of the average of the squares of all wave heights, is approximately equal to Hs divided by 1.4. The root-mean square wave height Hrms is the wave height representing the total energy content and is represented as H_rms = H'/0.886 or Root-mean-square Wave Height = Average of All Waves/0.886. Average of All Waves based on the Rayleigh Distribution is the mean value of all the waves.

How to calculate Root Mean Square Wave Height given Average of Waves based upon Rayleigh Distribution?

The Root Mean Square Wave Height given Average of Waves based upon Rayleigh Distribution is defined as square root of the average of the squares of all wave heights, is approximately equal to Hs divided by 1.4. The root-mean square wave height Hrms is the wave height representing the total energy content is calculated using Root-mean-square Wave Height = Average of All Waves/0.886. To calculate Root Mean Square Wave Height given Average of Waves based upon Rayleigh Distribution, you need Average of All Waves (H'). With our tool, you need to enter the respective value for Average of All Waves 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 Root-mean-square Wave Height?

In this formula, Root-mean-square Wave Height uses Average of All Waves. We can use 2 other way(s) to calculate the same, which is/are as follows -

Root-mean-square Wave Height = Significant Wave Height/1.414
Root-mean-square Wave Height = Standard Deviation of Wave Height/0.463

Home

FREE PDFs

🔍 Search