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

✖Average of All Waves based on the Rayleigh Distribution is the mean value of all the waves.ⓘ Average of All Waves [H']

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✖Root Mean Square Wave Height is the 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]

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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 the 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)

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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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< 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

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

LaTeX Go

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.

What is Wave Number?

Wave Number is the spatial frequency of a wave in a given medium, typically measured in reciprocal units of distance, such as radians per meter or cycles per meter.

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 formula is defined as the square root of the average of the squares of all wave heights given the number expressing the central or typical value in a set of data of wave heights under consideration specific to the Rayleigh distribution. 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 formula is defined as the square root of the average of the squares of all wave heights given the number expressing the central or typical value in a set of data of wave heights under consideration specific to the Rayleigh distribution 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 formula is defined as the square root of the average of the squares of all wave heights given the number expressing the central or typical value in a set of data of wave heights under consideration specific to the Rayleigh distribution 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

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