Root Mean Square Wave Height Calculator

✖Standard Deviation of Wave Height is a measure of the amount of variation or dispersion of a set of values of wave height usually four times the standard deviation of the surface elevation.ⓘ Standard Deviation of Wave Height [σ_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 [H_rms]

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Formula

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Root Mean Square Wave Height

Formula

`"H"_{"rms"} = "σ"_{"H"}/0.463`

Example

`"49.67603m"="23"/0.463`

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Root Mean Square Wave Height Solution

STEP 0: Pre-Calculation Summary

Formula Used

Root Mean Square Wave Height = Standard Deviation of Wave Height/0.463
H_rms = σ_H/0.463
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.
Standard Deviation of Wave Height - Standard Deviation of Wave Height is a measure of the amount of variation or dispersion of a set of values of wave height usually four times the standard deviation of the surface elevation.

STEP 1: Convert Input(s) to Base Unit

Standard Deviation of Wave Height: 23 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

H_rms = σ_H/0.463 --> 23/0.463

Evaluating ... ...

H_rms = 49.6760259179266

STEP 3: Convert Result to Output's Unit

49.6760259179266 Meter --> No Conversion Required

FINAL ANSWER

49.6760259179266 ≈ 49.67603 Meter <-- Root Mean Square Wave Height

(Calculation completed in 00.020 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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< 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 Formula

Root Mean Square Wave Height = Standard Deviation of Wave Height/0.463
H_rms = σ_H/0.463

What is Significant Wave Height ?

In physical oceanography, the significant wave height is defined traditionally as the mean wave height of the highest third of the waves. The RMS wave height, which is defined as square root of the average of the squares of all wave heights, is approximately equal to Hs divided by 1.4.

What is Wave Number?

Wave Number is the distance between corresponding points of two consecutive waves. “Corresponding points” refers to two points or particles in the same phase i.e., points that have completed identical fractions of their periodic motion.

How to Calculate Root Mean Square Wave Height?

Root Mean Square Wave Height calculator uses Root Mean Square Wave Height = Standard Deviation of Wave Height/0.463 to calculate the Root Mean Square Wave Height, The Root Mean Square Wave Height formula is defined as the square root of the average of the squares of all wave heights representing the total energy content. Root Mean Square Wave Height is denoted by H_rms symbol.

How to calculate Root Mean Square Wave Height using this online calculator? To use this online calculator for Root Mean Square Wave Height, enter Standard Deviation of Wave Height (σ_H) and hit the calculate button. Here is how the Root Mean Square Wave Height calculation can be explained with given input values -> 49.67603 = 23/0.463.

FAQ

What is Root Mean Square Wave Height?

The Root Mean Square Wave Height formula is defined as the square root of the average of the squares of all wave heights representing the total energy content and is represented as H_rms = σ_H/0.463 or Root Mean Square Wave Height = Standard Deviation of Wave Height/0.463. Standard Deviation of Wave Height is a measure of the amount of variation or dispersion of a set of values of wave height usually four times the standard deviation of the surface elevation.

How to calculate Root Mean Square Wave Height?

The Root Mean Square Wave Height formula is defined as the square root of the average of the squares of all wave heights representing the total energy content is calculated using Root Mean Square Wave Height = Standard Deviation of Wave Height/0.463. To calculate Root Mean Square Wave Height, you need Standard Deviation of Wave Height (σ_H). With our tool, you need to enter the respective value for Standard Deviation of 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 Standard Deviation of Wave Height. 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 = Average of All Waves/0.886

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