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
Hrms = σH/0.463
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.
Standard Deviation of Wave Height - Standard Deviation of Wave Height influencing root mean square wave height.
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
Hrms = σH/0.463 --> 23/0.463
Evaluating ... ...
Hrms = 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 00.004 seconds)

Credits

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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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
Hrms = σH/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.

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 is defined as square root of the average of the squares of all wave heights, is approximately equal to Hs divided by 1.4. The root-mean square wave height Hrms is the wave height representing the total energy content. Root-mean-square Wave Height is denoted by Hrms 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 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 is defined as square root of the average of the squares of all wave heights, is approximately equal to Hs divided by 1.4. The root-mean square wave height Hrms is the wave height representing the total energy content and is represented as Hrms = σH/0.463 or Root-mean-square Wave Height = Standard Deviation of Wave Height/0.463. Standard Deviation of Wave Height influencing root mean square wave height.
How to calculate Root Mean Square Wave Height?
The Root Mean Square Wave Height is defined as square root of the average of the squares of all wave heights, is approximately equal to Hs divided by 1.4. The root-mean square wave height Hrms is the wave height 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 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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