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Wave Height of Record for Probability of Exceedance Formula

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

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

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

Wave Height of Record for Probability of Exceedance Example

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

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

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

79.999 = 65 \cdot {(\frac{0.205}{e^{- 2}})}^{0.5}

79.999m = 65m \cdot {(\frac{0.205}{e^{- 2}})}^{0.5}

79.999 = 65 \cdot {(\frac{0.205}{e^{- 2}})}^{0.5}

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Wave Height of Record for Probability of Exceedance Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

H = 65m \cdot {(\frac{0.205}{e^{- 2}})}^{0.5}

Next Step Prepare to Evaluate

∴

H = 65 \cdot {(\frac{0.205}{e^{- 2}})}^{0.5}

Next Step Evaluate

∴

H = 79.9990388297654m

LAST Step Rounding Answer

∴

H = 79.999m

Wave Height of Record for Probability of Exceedance Formula Elements

Variables

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

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

Other formulas in Wave Statistics Relationships category

Go Probability of Exceedance of Wave Height

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

Go Significant Wave Height of Record for Probability of Exceedance

H s = \frac{H}{{(\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 Wave Height of Record for Probability of Exceedance?

Wave Height of Record for Probability of Exceedance evaluator uses Wave Height = Significant Wave Height*(Probability of Exceedance of Wave Height/e^-2)^0.5 to evaluate 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 evaluate Wave Height of Record for Probability of Exceedance using this online evaluator? To use this online evaluator 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.

FAQs on Wave Height of Record for Probability of Exceedance

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

The formula of Wave Height of Record for Probability of Exceedance is expressed as Wave Height = Significant Wave Height*(Probability of Exceedance of Wave Height/e^-2)^0.5. Here is an example- 79.01742 = 65*(0.205/e^-2)^0.5.

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

With Significant Wave Height (H_s) & Probability of Exceedance of Wave Height (P_H) we can find Wave Height of Record for Probability of Exceedance using the formula - Wave Height = Significant Wave Height*(Probability of Exceedance of Wave Height/e^-2)^0.5.

Can the Wave Height of Record for Probability of Exceedance be negative?

No, the Wave Height of Record for Probability of Exceedance, measured in Length cannot be negative.

Which unit is used to measure Wave Height of Record for Probability of Exceedance?

Wave Height of Record for Probability of Exceedance is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Wave Height of Record for Probability of Exceedance can be measured.

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