Root Mean Square Wave Height given Significant Wave Height based on 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 Significant Wave Height based on Rayleigh Distribution [H_rms]

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

Formula

`"H"_{"rms"} = "H"_{"s"}/1.414`

Example

`"45.96888m"="65m"/1.414`

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

STEP 0: Pre-Calculation Summary

Formula Used

Root-mean-square Wave Height = Significant Wave Height/1.414
H_rms = H_s/1.414
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.
Significant Wave Height - (Measured in Meter) - Significant Wave Height is defined traditionally as the mean wave height of the highest third of the waves.

STEP 1: Convert Input(s) to Base Unit

Significant Wave Height: 65 Meter --> 65 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

H_rms = H_s/1.414 --> 65/1.414

Evaluating ... ...

H_rms = 45.968882602546

STEP 3: Convert Result to Output's Unit

45.968882602546 Meter --> No Conversion Required

FINAL ANSWER

45.968882602546 ≈ 45.96888 Meter <-- Root-mean-square 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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< 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 Significant Wave Height based on Rayleigh Distribution Formula

Root-mean-square Wave Height = Significant Wave Height/1.414
H_rms = H_s/1.414

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 Significant Wave Height based on Rayleigh Distribution?

Root Mean Square Wave Height given Significant Wave Height based on Rayleigh Distribution calculator uses Root-mean-square Wave Height = Significant Wave Height/1.414 to calculate the Root-mean-square Wave Height, The Root Mean Square Wave Height given Significant Wave Height based on Rayleigh Distribution is defined as the square root of the average of the squares of all wave heights is approximately equal to Hs divided by 1.4. In physical oceanography, significant wave height is defined traditionally as the mean wave height (trough to crest) of the highest third of the waves. Root-mean-square Wave Height is denoted by H_rms symbol.

How to calculate Root Mean Square Wave Height given Significant Wave Height based on Rayleigh Distribution using this online calculator? To use this online calculator for Root Mean Square Wave Height given Significant Wave Height based on Rayleigh Distribution, enter Significant Wave Height (H_s) and hit the calculate button. Here is how the Root Mean Square Wave Height given Significant Wave Height based on Rayleigh Distribution calculation can be explained with given input values -> 45.96888 = 65/1.414.

FAQ

What is Root Mean Square Wave Height given Significant Wave Height based on Rayleigh Distribution?

The Root Mean Square Wave Height given Significant Wave Height based on Rayleigh Distribution is defined as the square root of the average of the squares of all wave heights is approximately equal to Hs divided by 1.4. In physical oceanography, significant wave height is defined traditionally as the mean wave height (trough to crest) of the highest third of the waves and is represented as H_rms = H_s/1.414 or Root-mean-square Wave Height = Significant Wave Height/1.414. Significant Wave Height is defined traditionally as the mean wave height of the highest third of the waves.

How to calculate Root Mean Square Wave Height given Significant Wave Height based on Rayleigh Distribution?

The Root Mean Square Wave Height given Significant Wave Height based on Rayleigh Distribution is defined as the square root of the average of the squares of all wave heights is approximately equal to Hs divided by 1.4. In physical oceanography, significant wave height is defined traditionally as the mean wave height (trough to crest) of the highest third of the waves is calculated using Root-mean-square Wave Height = Significant Wave Height/1.414. To calculate Root Mean Square Wave Height given Significant Wave Height based on Rayleigh Distribution, you need Significant Wave Height (H_s). With our tool, you need to enter the respective value for Significant 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 Root-mean-square Wave Height?

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

Root-mean-square Wave Height = Average of All Waves/0.886
Root-mean-square Wave Height = Standard Deviation of Wave Height/0.463

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