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

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

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

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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 Significant Wave Height based on Rayleigh Distribution Formula

LaTeX Go

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.

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 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 formula is defined as the square root of the average of the squares of all wave heights given 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?

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 formula is defined as the square root of the average of the squares of all wave heights given 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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