Significant Wave Height of Record for Probability of Exceedance 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%
✖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%

✖Significant Wave Height is the mean wave height of the highest one-third of the waves.ⓘ Significant Wave Height of Record for Probability of Exceedance [H_s]

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Significant Wave Height of Record for Probability of Exceedance Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Significant Wave Height - (Measured in Meter) - Significant Wave Height is the mean wave height of the highest one-third of the waves.
Wave Height - (Measured in Meter) - Wave Height of a surface wave is the difference between the elevations of a crest and a neighboring trough.
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

Wave Height: 80 Meter --> 80 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_s = H/(P_H/e^-2)^0.5 --> 80/(0.205/e^-2)^0.5

Evaluating ... ...

H_s = 65.0007809601986

STEP 3: Convert Result to Output's Unit

65.0007809601986 Meter --> No Conversion Required

FINAL ANSWER

65.0007809601986 ≈ 65.00078 Meter <-- Significant Wave Height

(Calculation completed in 00.004 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

Significant Wave Height of Record for Probability of Exceedance Formula

LaTeX Go

Significant Wave Height = Wave Height/(Probability of Exceedance of Wave Height/e^-2)^0.5
H_s = H/(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 distance between corresponding points of two consecutive waves. “Corresponding points” refers to two points or particles in the same phase i.e., points that have completed identical fractions of their periodic motion.

How to Calculate Significant Wave Height of Record for Probability of Exceedance?

Significant Wave Height of Record for Probability of Exceedance calculator uses Significant Wave Height = Wave Height/(Probability of Exceedance of Wave Height/e^-2)^0.5 to calculate the Significant Wave Height, The Significant Wave Height of Record for Probability of Exceedance formula is the average height of the highest one-third of waves in a wave record. Significant Wave Height is denoted by H_s symbol.

How to calculate Significant Wave Height of Record for Probability of Exceedance using this online calculator? To use this online calculator for Significant Wave Height of Record for Probability of Exceedance, enter Wave Height (H) & Probability of Exceedance of Wave Height (P_H) and hit the calculate button. Here is how the Significant Wave Height of Record for Probability of Exceedance calculation can be explained with given input values -> 65.80828 = 80/(0.205/e^-2)^0.5.

FAQ

What is Significant Wave Height of Record for Probability of Exceedance?

The Significant Wave Height of Record for Probability of Exceedance formula is the average height of the highest one-third of waves in a wave record and is represented as H_s = H/(P_H/e^-2)^0.5 or Significant Wave Height = Wave Height/(Probability of Exceedance of Wave Height/e^-2)^0.5. Wave Height of a surface wave is the difference between the elevations of a crest and a neighboring trough & 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 Significant Wave Height of Record for Probability of Exceedance?

The Significant Wave Height of Record for Probability of Exceedance formula is the average height of the highest one-third of waves in a wave record is calculated using Significant Wave Height = Wave Height/(Probability of Exceedance of Wave Height/e^-2)^0.5. To calculate Significant Wave Height of Record for Probability of Exceedance, you need Wave Height (H) & Probability of Exceedance of Wave Height (P_H). With our tool, you need to enter the respective value for 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.

How many ways are there to calculate Significant Wave Height?

In this formula, Significant Wave Height uses Wave Height & Probability of Exceedance of Wave Height. We can use 2 other way(s) to calculate the same, which is/are as follows -

Significant Wave Height = 1.414*Root Mean Square Wave Height
Significant Wave Height = 1.596*Average of All Waves

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