Probability of Exceedance of Wave Height Calculator

✖Wave Height of a surface wave is the difference between the elevations of a crest and a neighboring trough.ⓘ Wave Height [H]			+10% -10%
✖Significant Wave Height is the mean wave height of the highest one-third of the waves.ⓘ Significant Wave Height [H_s]			+10% -10%

✖Probability of Exceedance of Wave Height is a probability of 0 to 100 of waves heights (significant wave height) reaching or being greater than the chosen value.ⓘ Probability of Exceedance of Wave Height [P_H]

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Probability of Exceedance of Wave Height Solution

STEP 0: Pre-Calculation Summary

Formula Used

Probability of Exceedance of Wave Height = (e^-2)*(Wave Height/Significant Wave Height)^2
P_H = (e^-2)*(H/H_s)^2
This formula uses 1 Constants, 3 Variables

Constants Used

e - Napier's constant Value Taken As 2.71828182845904523536028747135266249

Variables Used

Probability of Exceedance of Wave Height - Probability of Exceedance of Wave Height is a probability of 0 to 100 of waves heights (significant wave height) reaching or being greater than the chosen value.
Wave Height - (Measured in Meter) - Wave Height of a surface wave is the difference between the elevations of a crest and a neighboring trough.
Significant Wave Height - (Measured in Meter) - Significant Wave Height is the mean wave height of the highest one-third of the waves.

STEP 1: Convert Input(s) to Base Unit

Wave Height: 80 Meter --> 80 Meter No Conversion Required
Significant Wave Height: 65 Meter --> 65 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

P_H = (e^-2)*(H/H_s)^2 --> (e^-2)*(80/65)^2

Evaluating ... ...

P_H = 0.20500492608623

STEP 3: Convert Result to Output's Unit

0.20500492608623 --> No Conversion Required

FINAL ANSWER

0.20500492608623 ≈ 0.205005 <-- Probability of Exceedance of Wave Height

(Calculation completed in 00.006 seconds)

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Created by Mithila Muthamma PA

Coorg Institute of Technology (CIT), Coorg

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< Wave Statistics Relationships Calculators

Significant Wave Height of Record for Probability of Exceedance

LaTeX Go Significant Wave Height = Wave Height/(Probability of Exceedance of Wave Height/e^-2)^0.5

Wave Height of Record for Probability of Exceedance

LaTeX Go Wave Height = Significant Wave Height*(Probability of Exceedance of Wave Height/e^-2)^0.5

Probability of Exceedance of Wave Height

LaTeX Go Probability of Exceedance of Wave Height = (e^-2)*(Wave Height/Significant Wave Height)^2

Significant Wave Height of Record based upon Rayleigh Distribution

LaTeX Go Significant Wave Height = 1.414*Root Mean Square Wave Height

Probability of Exceedance of Wave Height Formula

LaTeX Go

Probability of Exceedance of Wave Height = (e^-2)*(Wave Height/Significant Wave Height)^2
P_H = (e^-2)*(H/H_s)^2

What is Significant Wave Height ?

Significant Wave Height is the average wave height of the highest one-third of the waves, from trough to crest. Devised by oceanographer Walter Munk during World War II, the significant wave height estimates 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 Probability of Exceedance of Wave Height?

Probability of Exceedance of Wave Height calculator uses Probability of Exceedance of Wave Height = (e^-2)*(Wave Height/Significant Wave Height)^2 to calculate the Probability of Exceedance of Wave Height, The Probability of Exceedance of Wave Height formula is defined as a statistical metric describing the probability that a particular value will be met or exceeded, considering Rayleigh Distribution, taking significant wave height as the characteristic parameter. Probability of Exceedance of Wave Height is denoted by P_H symbol.

How to calculate Probability of Exceedance of Wave Height using this online calculator? To use this online calculator for Probability of Exceedance of Wave Height, enter Wave Height (H) & Significant Wave Height (H_s) and hit the calculate button. Here is how the Probability of Exceedance of Wave Height calculation can be explained with given input values -> 0.205005 = (e^-2)*(80/65)^2.

FAQ

What is Probability of Exceedance of Wave Height?

The Probability of Exceedance of Wave Height formula is defined as a statistical metric describing the probability that a particular value will be met or exceeded, considering Rayleigh Distribution, taking significant wave height as the characteristic parameter and is represented as P_H = (e^-2)*(H/H_s)^2 or Probability of Exceedance of Wave Height = (e^-2)*(Wave Height/Significant Wave Height)^2. Wave Height of a surface wave is the difference between the elevations of a crest and a neighboring trough & Significant Wave Height is the mean wave height of the highest one-third of the waves.

How to calculate Probability of Exceedance of Wave Height?

The Probability of Exceedance of Wave Height formula is defined as a statistical metric describing the probability that a particular value will be met or exceeded, considering Rayleigh Distribution, taking significant wave height as the characteristic parameter is calculated using Probability of Exceedance of Wave Height = (e^-2)*(Wave Height/Significant Wave Height)^2. To calculate Probability of Exceedance of Wave Height, you need Wave Height (H) & Significant Wave Height (H_s). With our tool, you need to enter the respective value for Wave Height & Significant 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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