✖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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Formula

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Standard Deviation of Wave Height

Formula

`"σ"_{"H"} = 0.463*"H"_{"rms"}`

Example

`"20.835"=0.463*"45m"`

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Standard Deviation of Wave Height Solution

STEP 0: Pre-Calculation Summary

Formula Used

Standard Deviation of Wave Height = 0.463*Root Mean Square Wave Height
σ_H = 0.463*H_rms
This formula uses 2 Variables

Variables Used

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.
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.

STEP 1: Convert Input(s) to Base Unit

Root Mean Square Wave Height: 45 Meter --> 45 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

σ_H = 0.463*H_rms --> 0.463*45

Evaluating ... ...

σ_H = 20.835

STEP 3: Convert Result to Output's Unit

20.835 --> No Conversion Required

FINAL ANSWER

20.835 <-- Standard Deviation of Wave Height

(Calculation completed in 00.004 seconds)

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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

Standard Deviation of Wave Height Formula

Standard Deviation of Wave Height = 0.463*Root Mean Square Wave Height
σ_H = 0.463*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.

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 Standard Deviation of Wave Height?

Standard Deviation of Wave Height calculator uses Standard Deviation of Wave Height = 0.463*Root Mean Square Wave Height to calculate the Standard Deviation of Wave Height, The Standard Deviation of Wave Height is defined as the variability or dispersion of individual wave heights around the mean wave height. Standard Deviation of Wave Height is denoted by σ_H symbol.

How to calculate Standard Deviation of Wave Height using this online calculator? To use this online calculator for Standard Deviation of Wave Height, enter Root Mean Square Wave Height (H_rms) and hit the calculate button. Here is how the Standard Deviation of Wave Height calculation can be explained with given input values -> 23.15 = 0.463*45.

FAQ

What is Standard Deviation of Wave Height?

The Standard Deviation of Wave Height is defined as the variability or dispersion of individual wave heights around the mean wave height and is represented as σ_H = 0.463*H_rms or Standard Deviation of Wave Height = 0.463*Root Mean Square Wave Height. Root Mean Square Wave Height is the square root of the average of the squares of all wave heights.

How to calculate Standard Deviation of Wave Height?

The Standard Deviation of Wave Height is defined as the variability or dispersion of individual wave heights around the mean wave height is calculated using Standard Deviation of Wave Height = 0.463*Root Mean Square Wave Height. To calculate Standard Deviation of Wave Height, 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.

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