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Probability of Exceedance of Wave Height Formula

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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. Check FAQs

P H = (e^{- 2}) \cdot {(\frac{H}{H s})}^{2}

P_H - Probability of Exceedance of Wave Height?H - Wave Height?H_s - Significant Wave Height?

Probability of Exceedance of Wave Height Example

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Here is how the Probability of Exceedance of Wave Height equation looks like with Values.

Here is how the Probability of Exceedance of Wave Height equation looks like with Units.

Here is how the Probability of Exceedance of Wave Height equation looks like.

0.205 = (e^{- 2}) \cdot {(\frac{80}{65})}^{2}

0.205 = (e^{- 2}) \cdot {(\frac{80m}{65m})}^{2}

0.205 = (e^{- 2}) \cdot {(\frac{80}{65})}^{2}

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Probability of Exceedance of Wave Height Solution

Follow our step by step solution on how to calculate Probability of Exceedance of Wave Height?

FIRST Step Consider the formula

P H = (e^{- 2}) \cdot {(\frac{H}{H s})}^{2}

Next Step Substitute values of Variables

∴

P H = (e^{- 2}) \cdot {(\frac{80m}{65m})}^{2}

Next Step Prepare to Evaluate

∴

P H = (e^{- 2}) \cdot {(\frac{80}{65})}^{2}

Next Step Evaluate

∴

P H = 0.20500492608623

LAST Step Rounding Answer

∴

P H = 0.205

Probability of Exceedance of Wave Height Formula Elements

Variables

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.

Symbol: P_H

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Probability of Exceedance of Wave Height

Wave Height

Wave Height of a surface wave is the difference between the elevations of a crest and a neighboring trough.

Symbol: H

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Wave Height

Significant Wave Height

Significant Wave Height is the mean wave height of the highest one-third of the waves.

Symbol: H_s

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Significant Wave Height

Other formulas in Wave Statistics Relationships category

Go Significant Wave Height of Record for Probability of Exceedance

H s = \frac{H}{{(\frac{P H}{e^{- 2}})}^{0.5}}

Go Wave Height of Record for Probability of Exceedance

H = H s \cdot {(\frac{P H}{e^{- 2}})}^{0.5}

Go Significant Wave Height of Record based upon Rayleigh Distribution

H s = 1.414 \cdot H rms

Go Root Mean Square Wave Height given Significant Wave Height based on Rayleigh Distribution

H rms = \frac{H s}{1.414}

How to Evaluate Probability of Exceedance of Wave Height?

Probability of Exceedance of Wave Height evaluator uses Probability of Exceedance of Wave Height = (e^-2)*(Wave Height/Significant Wave Height)^2 to evaluate 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 evaluate Probability of Exceedance of Wave Height using this online evaluator? To use this online evaluator for Probability of Exceedance of Wave Height, enter Wave Height (H) & Significant Wave Height (H_s) and hit the calculate button.

FAQs on Probability of Exceedance of Wave Height

What is the formula to find Probability of Exceedance of Wave Height?

The formula of Probability of Exceedance of Wave Height is expressed as Probability of Exceedance of Wave Height = (e^-2)*(Wave Height/Significant Wave Height)^2. Here is an example- 0.205005 = (e^-2)*(80/65)^2.

How to calculate Probability of Exceedance of Wave Height?

With Wave Height (H) & Significant Wave Height (H_s) we can find Probability of Exceedance of Wave Height using the formula - Probability of Exceedance of Wave Height = (e^-2)*(Wave Height/Significant Wave Height)^2.

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