Average of Waves based upon Rayleigh Distribution Calculator

Average of All Waves - Average of All Waves based on the Rayleigh Distribution is the mean value of all the waves.
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.

STEP 1: Convert Input(s) to Base Unit

Root-mean-square Wave Height: 50 Meter --> 50 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

H' = 0.886*H_rms --> 0.886*50

Evaluating ... ...

H' = 44.3

STEP 3: Convert Result to Output's Unit

44.3 --> No Conversion Required

FINAL ANSWER

44.3 <-- Average of All Waves

(Calculation completed in 00.004 seconds)

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Home » Engineering » Civil » Coastal and Ocean Engineering » Wave Prediction » Wave Statistics Relationships » 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

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< 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

Average of Waves based upon Rayleigh Distribution Formula

Average of All Waves = 0.886*Root-mean-square Wave Height
H' = 0.886*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.

How to Calculate Average of Waves based upon Rayleigh Distribution?

Average of Waves based upon Rayleigh Distribution calculator uses Average of All Waves = 0.886*Root-mean-square Wave Height to calculate the Average of All Waves, The Average of Waves based upon Rayleigh Distribution is defined as the number expressing the central or typical value in a set of data of wave heights under consideration specific to the Rayleigh distribution which is a continuous probability distribution for nonnegative-valued random variables. Average of All Waves is denoted by H' symbol.

How to calculate Average of Waves based upon Rayleigh Distribution using this online calculator? To use this online calculator for Average of Waves based upon Rayleigh Distribution, enter Root-mean-square Wave Height (H_rms) and hit the calculate button. Here is how the Average of Waves based upon Rayleigh Distribution calculation can be explained with given input values -> 44.3 = 0.886*50.

FAQ

What is Average of Waves based upon Rayleigh Distribution?

The Average of Waves based upon Rayleigh Distribution is defined as the number expressing the central or typical value in a set of data of wave heights under consideration specific to the Rayleigh distribution which is a continuous probability distribution for nonnegative-valued random variables and is represented as H' = 0.886*H_rms or Average of All Waves = 0.886*Root-mean-square Wave Height. Root-mean-square Wave Height is defined as square root of the average of the squares of all wave heights.

How to calculate Average of Waves based upon Rayleigh Distribution?

The Average of Waves based upon Rayleigh Distribution is defined as the number expressing the central or typical value in a set of data of wave heights under consideration specific to the Rayleigh distribution which is a continuous probability distribution for nonnegative-valued random variables is calculated using Average of All Waves = 0.886*Root-mean-square Wave Height. To calculate Average of Waves 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 Average of All Waves?

In this formula, Average of All Waves uses Root-mean-square Wave Height. We can use 1 other way(s) to calculate the same, which is/are as follows -

Average of All Waves = Significant Wave Height/1.596

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