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Root Mean Square Wave Height Formula

GoRoot Mean Square Wave Height given Significant Wave Height based on Rayleigh Distribution Formula

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

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Root Mean Square Wave Height is the square root of the average of the squares of all wave heights. Check FAQs

H rms = \frac{σ H}{0.463}

H_rms - Root Mean Square Wave Height?σ_H - Standard Deviation of Wave Height?

Root Mean Square Wave Height Example

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Here is how the Root Mean Square Wave Height equation looks like with Values.

Here is how the Root Mean Square Wave Height equation looks like with Units.

Here is how the Root Mean Square Wave Height equation looks like.

49.676 = \frac{23}{0.463}

49.676m = \frac{23}{0.463}

49.676 = \frac{23}{0.463}

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Root Mean Square Wave Height Solution

Follow our step by step solution on how to calculate Root Mean Square Wave Height?

FIRST Step Consider the formula

H rms = \frac{σ H}{0.463}

Next Step Substitute values of Variables

∴

H rms = \frac{23}{0.463}

Next Step Prepare to Evaluate

∴

H rms = \frac{23}{0.463}

Next Step Evaluate

∴

H rms = 49.6760259179266m

LAST Step Rounding Answer

∴

H rms = 49.676m

Root Mean Square Wave Height Formula Elements

Variables

Root Mean Square Wave Height

Root Mean Square Wave Height is the square root of the average of the squares of all wave heights.

Symbol: H_rms

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Root Mean Square Wave Height

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.

Symbol: σ_H

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Standard Deviation of Wave Height

Other Formulas to find Root Mean Square Wave Height

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

H rms = \frac{H s}{1.414}

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

H rms = \frac{H'}{0.886}

Other formulas in Wave Statistics Relationships category

Go Probability of Exceedance of Wave Height

P H = (e^{- 2}) \cdot {(\frac{H}{H s})}^{2}

Go Significant Wave Height of Record for Probability of Exceedance

H s = \frac{H}{{(\frac{P H}{e^{- 2}})}^{0.5}}

Go Wave Height of Record for Probability of Exceedance

H = H s \cdot {(\frac{P H}{e^{- 2}})}^{0.5}

Go Significant Wave Height of Record based upon Rayleigh Distribution

H s = 1.414 \cdot H rms

How to Evaluate Root Mean Square Wave Height?

Root Mean Square Wave Height evaluator uses Root Mean Square Wave Height = Standard Deviation of Wave Height/0.463 to evaluate 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 evaluate Root Mean Square Wave Height using this online evaluator? To use this online evaluator for Root Mean Square Wave Height, enter Standard Deviation of Wave Height (σ_H) and hit the calculate button.

FAQs on Root Mean Square Wave Height

What is the formula to find Root Mean Square Wave Height?

The formula of Root Mean Square Wave Height is expressed as Root Mean Square Wave Height = Standard Deviation of Wave Height/0.463. Here is an example- 49.67603 = 23/0.463.

How to calculate Root Mean Square Wave Height?

With Standard Deviation of Wave Height (σ_H) we can find Root Mean Square Wave Height using the formula - Root Mean Square Wave Height = Standard Deviation of Wave Height/0.463.

What are the other ways to Calculate Root Mean Square Wave Height?

Here are the different ways to Calculate Root Mean Square Wave Height-

Root Mean Square Wave Height=Significant Wave Height/1.414
Root Mean Square Wave Height=Average of All Waves/0.886

Can the Root Mean Square Wave Height be negative?

No, the Root Mean Square Wave Height, measured in Length cannot be negative.

Which unit is used to measure Root Mean Square Wave Height?

Root Mean Square Wave Height is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Root Mean Square Wave Height can be measured.

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