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Encounter Probability Formula

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Encounter Probability is the likelihood that waves with significant wave height (Hs) equal to or greater than a specified value (Hs^s) will occur during the design life or a specified period. Check FAQs

P e = 1 - {(1 - (\frac{t}{T r}))}^{L}

P_e - Encounter Probability?t - Time Interval associated with each Data Point?T_r - Return Period of Wind?L - Desired Time Period?

Encounter Probability Example

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With units

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Here is how the Encounter Probability equation looks like with Values.

Here is how the Encounter Probability equation looks like with Units.

Here is how the Encounter Probability equation looks like.

0.9416 = 1 - {(1 - (\frac{30}{50}))}^{3.1}

0.9416 = 1 - {(1 - (\frac{30}{50}))}^{3.1}

0.9416 = 1 - {(1 - (\frac{30}{50}))}^{3.1}

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Encounter Probability Solution

Follow our step by step solution on how to calculate Encounter Probability?

FIRST Step Consider the formula

P e = 1 - {(1 - (\frac{t}{T r}))}^{L}

Next Step Substitute values of Variables

∴

P e = 1 - {(1 - (\frac{30}{50}))}^{3.1}

Next Step Prepare to Evaluate

∴

P e = 1 - {(1 - (\frac{30}{50}))}^{3.1}

Next Step Evaluate

∴

P e = 0.941603613660449

LAST Step Rounding Answer

∴

P e = 0.9416

Encounter Probability Formula Elements

Variables

Encounter Probability

Encounter Probability is the likelihood that waves with significant wave height (Hs) equal to or greater than a specified value (Hs^s) will occur during the design life or a specified period.

Symbol: P_e

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Encounter Probability

Time Interval associated with each Data Point

Time Interval associated with each Data Point refers to the data that have a time interval associated with them during which they are valid.

Symbol: t

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Time Interval associated with each Data Point

Return Period of Wind

Return Period of Wind is an average time or an estimated average time between events such as winds.

Symbol: T_r

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Return Period of Wind

Desired Time Period

Desired Time Period refers to the specific span of time over which you want to analyze and average the data.

Symbol: L

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Desired Time Period

Other formulas in Return Period and Encounter Probability category

Go Return Period given Cumulative Probability

T r = \frac{t}{1 - PH s}

Go Time Interval Associated with Each Data Point given Return Period

t = T r \cdot (1 - PH s)

Go Cumulative Probability of Design Significant Wave Height given Return Period

PH s = - ((\frac{t}{T r}) - 1)

Go Velocity at Surface given Volume Flow Rate Per Unit of Ocean Width

V s = \frac{q x \cdot π \cdot \sqrt{2}}{D F}

How to Evaluate Encounter Probability?

Encounter Probability evaluator uses Encounter Probability = 1-(1-(Time Interval associated with each Data Point/Return Period of Wind))^(Desired Time Period) to evaluate the Encounter Probability, The Encounter Probability formula is defined as the likelihood that waves with significant wave height (Hs) equal to or greater than a specified value (Hs^s) will occur during the design life or a specified period. Encounter Probability is denoted by P_e symbol.

How to evaluate Encounter Probability using this online evaluator? To use this online evaluator for Encounter Probability, enter Time Interval associated with each Data Point (t), Return Period of Wind (T_r) & Desired Time Period (L) and hit the calculate button.

FAQs on Encounter Probability

What is the formula to find Encounter Probability?

The formula of Encounter Probability is expressed as Encounter Probability = 1-(1-(Time Interval associated with each Data Point/Return Period of Wind))^(Desired Time Period). Here is an example- 0.941604 = 1-(1-(30/50))^(3.1).

How to calculate Encounter Probability?

With Time Interval associated with each Data Point (t), Return Period of Wind (T_r) & Desired Time Period (L) we can find Encounter Probability using the formula - Encounter Probability = 1-(1-(Time Interval associated with each Data Point/Return Period of Wind))^(Desired Time Period).

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Encounter Probability Formula

Encounter Probability Example

Encounter Probability Solution

Encounter Probability Formula Elements

Other formulas in Return Period and Encounter Probability category

How to Evaluate Encounter Probability?

FAQs on Encounter Probability

Variable Name