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Probability Density of Wave Period Formula

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Probability of occurrence of an event (x ≥ xt), of how likely an event is to occur, or how likely it is that a proposition is true. Check FAQs

p = 2.7 \cdot (\frac{P^{3}}{T'}) \cdot \exp (- 0.675 \cdot {(\frac{P}{T'})}^{4})

p - Probability?P - Wave Period?T' - Mean Wave Period?

Probability Density of Wave Period Example

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Here is how the Probability Density of Wave Period equation looks like with Values.

Here is how the Probability Density of Wave Period equation looks like with Units.

Here is how the Probability Density of Wave Period equation looks like.

1.116 = 2.7 \cdot (\frac{{1.03}^{3}}{2.6}) \cdot \exp (- 0.675 \cdot {(\frac{1.03}{2.6})}^{4})

1.116 = 2.7 \cdot (\frac{{1.03}^{3}}{2.6s}) \cdot \exp (- 0.675 \cdot {(\frac{1.03}{2.6s})}^{4})

1.116 = 2.7 \cdot (\frac{{1.03}^{3}}{2.6}) \cdot \exp (- 0.675 \cdot {(\frac{1.03}{2.6})}^{4})

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Probability Density of Wave Period Solution

Follow our step by step solution on how to calculate Probability Density of Wave Period?

FIRST Step Consider the formula

p = 2.7 \cdot (\frac{P^{3}}{T'}) \cdot \exp (- 0.675 \cdot {(\frac{P}{T'})}^{4})

Next Step Substitute values of Variables

∴

p = 2.7 \cdot (\frac{{1.03}^{3}}{2.6s}) \cdot \exp (- 0.675 \cdot {(\frac{1.03}{2.6s})}^{4})

Next Step Prepare to Evaluate

∴

p = 2.7 \cdot (\frac{{1.03}^{3}}{2.6}) \cdot \exp (- 0.675 \cdot {(\frac{1.03}{2.6})}^{4})

Next Step Evaluate

∴

p = 1.11604571411966

LAST Step Rounding Answer

∴

p = 1.116

Probability Density of Wave Period Formula Elements

Variables

Functions

Probability

Probability of occurrence of an event (x ≥ xt), of how likely an event is to occur, or how likely it is that a proposition is true.

Symbol: p

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Probability

Wave Period

Wave Period is the time between successive peaks or troughs.

Symbol: P

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Wave Period

Mean Wave Period

Mean Wave Period is the mean of all wave periods in a time-series representing a certain sea state.

Symbol: T'

Measurement: TimeUnit: s

Note: Value can be positive or negative.

Formulas to find Mean Wave Period

exp

n an exponential function, the value of the function changes by a constant factor for every unit change in the independent variable.

Syntax: exp(Number)

Other formulas in Wave Period Distribution and Wave Spectrum category

Go Mean Zero-upcrossing Period

T' Z = 2 \cdot π \cdot \sqrt{\frac{m 0}{m 2}}

Go Mean Crest Period

T c = 2 \cdot π \cdot (\frac{m 2}{m 4})

Go Most Probable Maximum Wave Period

T max = 2 \cdot \frac{\sqrt{1 + v^{2}}}{1} + \sqrt{1 + (16 \cdot \frac{v^{2}}{π} \cdot H^{2})}

Go Wave Component Amplitude

a = \sqrt{0.5 \cdot \sqrt{{a n}^{2} + {b n}^{2}}}

How to Evaluate Probability Density of Wave Period?

Probability Density of Wave Period evaluator uses Probability = 2.7*(Wave Period^3/Mean Wave Period)*exp(-0.675*(Wave Period/Mean Wave Period)^4) to evaluate the Probability, The Probability Density of Wave Period formula is defined as the distributions for wave periods, even under the assumptions that waves are linear and have narrow-band frequency spectrum. Probability is denoted by p symbol.

How to evaluate Probability Density of Wave Period using this online evaluator? To use this online evaluator for Probability Density of Wave Period, enter Wave Period (P) & Mean Wave Period (T') and hit the calculate button.

FAQs on Probability Density of Wave Period

What is the formula to find Probability Density of Wave Period?

The formula of Probability Density of Wave Period is expressed as Probability = 2.7*(Wave Period^3/Mean Wave Period)*exp(-0.675*(Wave Period/Mean Wave Period)^4). Here is an example- 1.116046 = 2.7*(1.03^3/2.6)*exp(-0.675*(1.03/2.6)^4).

How to calculate Probability Density of Wave Period?

With Wave Period (P) & Mean Wave Period (T') we can find Probability Density of Wave Period using the formula - Probability = 2.7*(Wave Period^3/Mean Wave Period)*exp(-0.675*(Wave Period/Mean Wave Period)^4). This formula also uses Exponential Growth (exp) function(s).

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