Wave Height of Record for Probability of Exceedance Calculator

✖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]			+10% -10%

✖Wave Height of a surface wave is the difference between the elevations of a crest and a neighboring trough.ⓘ Wave Height of Record for Probability of Exceedance [H]

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Wave Height of Record for Probability of Exceedance Solution

STEP 0: Pre-Calculation Summary

Formula Used

Wave Height = Significant Wave Height*(Probability of Exceedance of Wave Height/e^-2)^0.5
H = H_s*(P_H/e^-2)^0.5
This formula uses 1 Constants, 3 Variables

Constants Used

e - Napier's constant Value Taken As 2.71828182845904523536028747135266249

Variables Used

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.
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.

STEP 1: Convert Input(s) to Base Unit

Significant Wave Height: 65 Meter --> 65 Meter No Conversion Required
Probability of Exceedance of Wave Height: 0.205 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

H = H_s*(P_H/e^-2)^0.5 --> 65*(0.205/e^-2)^0.5

Evaluating ... ...

H = 79.9990388297654

STEP 3: Convert Result to Output's Unit

79.9990388297654 Meter --> No Conversion Required

FINAL ANSWER

79.9990388297654 ≈ 79.99904 Meter <-- Wave Height

(Calculation completed in 00.008 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

Wave Height of Record for Probability of Exceedance Formula

LaTeX Go

Wave Height = Significant Wave Height*(Probability of Exceedance of Wave Height/e^-2)^0.5
H = H_s*(P_H/e^-2)^0.5

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 Wave Height of Record for Probability of Exceedance?

Wave Height of Record for Probability of Exceedance calculator uses Wave Height = Significant Wave Height*(Probability of Exceedance of Wave Height/e^-2)^0.5 to calculate the Wave Height, The Wave Height of Record for Probability of Exceedance formula is the specific wave height that is equaled or exceeded a certain percentage of the time within a given wave record. Wave Height is denoted by H symbol.

How to calculate Wave Height of Record for Probability of Exceedance using this online calculator? To use this online calculator for Wave Height of Record for Probability of Exceedance, enter Significant Wave Height (H_s) & Probability of Exceedance of Wave Height (P_H) and hit the calculate button. Here is how the Wave Height of Record for Probability of Exceedance calculation can be explained with given input values -> 79.01742 = 65*(0.205/e^-2)^0.5.

FAQ

What is Wave Height of Record for Probability of Exceedance?

The Wave Height of Record for Probability of Exceedance formula is the specific wave height that is equaled or exceeded a certain percentage of the time within a given wave record and is represented as H = H_s*(P_H/e^-2)^0.5 or Wave Height = Significant Wave Height*(Probability of Exceedance of Wave Height/e^-2)^0.5. Significant Wave Height is the mean wave height of the highest one-third of the waves & 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.

How to calculate Wave Height of Record for Probability of Exceedance?

The Wave Height of Record for Probability of Exceedance formula is the specific wave height that is equaled or exceeded a certain percentage of the time within a given wave record is calculated using Wave Height = Significant Wave Height*(Probability of Exceedance of Wave Height/e^-2)^0.5. To calculate Wave Height of Record for Probability of Exceedance, you need Significant Wave Height (H_s) & Probability of Exceedance of Wave Height (P_H). With our tool, you need to enter the respective value for Significant Wave Height & Probability of Exceedance of 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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