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
σH = 0.463*Hrms
This formula uses 2 Variables
Variables Used
Standard Deviation of Wave Height - Standard Deviation of Wave Height influencing root mean square wave height.
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.
STEP 1: Convert Input(s) to Base Unit
Root-mean-square Wave Height: 50 Meter --> 50 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
σH = 0.463*Hrms --> 0.463*50
Evaluating ... ...
σH = 23.15
STEP 3: Convert Result to Output's Unit
23.15 --> No Conversion Required
FINAL ANSWER
23.15 <-- Standard Deviation of Wave Height
(Calculation completed in 00.004 seconds)

Credits

Created by Mithila Muthamma PA
Coorg Institute of Technology (CIT), Coorg
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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
σH = 0.463*Hrms

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 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 a measure of the amount of variation or dispersion of a set of values of wave height. Standard Deviation of Wave Height is denoted by σH 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 (Hrms) 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*50.

FAQ

What is Standard Deviation of Wave Height?
The Standard Deviation of Wave Height is defined as a measure of the amount of variation or dispersion of a set of values of wave height and is represented as σH = 0.463*Hrms or Standard Deviation of Wave Height = 0.463*Root-mean-square Wave Height. Root-mean-square Wave Height is defined as 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 a measure of the amount of variation or dispersion of a set of values of 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 (Hrms). 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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