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Most Probable Maximum Wave Period Formula

GoMaximum Wave Period Formula

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Maximum Wave Period is defined as the wave period associated with the most energetic waves in the total wave spectrum at a specific point. Check FAQs

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

T_max - Maximum Wave Period?v - Spectral Width?H - Wave Height?π - Archimedes' constant?

Most Probable Maximum Wave Period Example

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Here is how the Most Probable Maximum Wave Period equation looks like with Values.

Here is how the Most Probable Maximum Wave Period equation looks like with Units.

Here is how the Most Probable Maximum Wave Period equation looks like.

87.8099 = 2 \cdot \frac{\sqrt{1 + 10^{2}}}{1} + \sqrt{1 + (16 \cdot \frac{10^{2}}{3.1416} \cdot 3^{2})}

87.8099s = 2 \cdot \frac{\sqrt{1 + 10^{2}}}{1} + \sqrt{1 + (16 \cdot \frac{10^{2}}{3.1416} \cdot {3m}^{2})}

87.8099 = 2 \cdot \frac{\sqrt{1 + 10^{2}}}{1} + \sqrt{1 + (16 \cdot \frac{10^{2}}{3.1416} \cdot 3^{2})}

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Most Probable Maximum Wave Period Solution

Follow our step by step solution on how to calculate Most Probable Maximum Wave Period?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

T max = 2 \cdot \frac{\sqrt{1 + 10^{2}}}{1} + \sqrt{1 + (16 \cdot \frac{10^{2}}{π} \cdot {3m}^{2})}

Next Step Substitute values of Constants

∴

T max = 2 \cdot \frac{\sqrt{1 + 10^{2}}}{1} + \sqrt{1 + (16 \cdot \frac{10^{2}}{3.1416} \cdot {3m}^{2})}

Next Step Prepare to Evaluate

∴

T max = 2 \cdot \frac{\sqrt{1 + 10^{2}}}{1} + \sqrt{1 + (16 \cdot \frac{10^{2}}{3.1416} \cdot 3^{2})}

Next Step Evaluate

∴

T max = 87.8098860895937s

LAST Step Rounding Answer

∴

T max = 87.8099s

Most Probable Maximum Wave Period Formula Elements

Variables

Constants

Functions

Maximum Wave Period

Maximum Wave Period is defined as the wave period associated with the most energetic waves in the total wave spectrum at a specific point.

Symbol: T_max

Measurement: TimeUnit: s

Note: Value can be positive or negative.

Formulas to find Maximum Wave Period

Spectral Width

Spectral Width refers to the range of frequencies over which significant wave energy is distributed. It provides a measure of the spread of the spectrum or width.

Symbol: v

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Spectral Width

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 can be positive or negative.

Formulas to find Wave Height

Archimedes' constant

Archimedes' constant is a mathematical constant that represents the ratio of the circumference of a circle to its diameter.

Symbol: π

Value: 3.14159265358979323846264338327950288

sqrt

A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number.

Syntax: sqrt(Number)

Other Formulas to find Maximum Wave Period

Go Maximum Wave Period

T max = Δ \cdot T'

Other formulas in Wave Period Distribution and Wave Spectrum category

Go Probability Density of Wave Period

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

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 Wave Component Amplitude

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

How to Evaluate Most Probable Maximum Wave Period?

Most Probable Maximum Wave Period evaluator uses Maximum Wave Period = 2*sqrt(1+Spectral Width^2)/1+sqrt(1+(16*Spectral Width^2/pi*Wave Height^2)) to evaluate the Maximum Wave Period, The Most Probable Maximum Wave Period formula is defined as the wave period associated with the most energetic waves in the total wave spectrum at a specific point. Wave regimes that are dominated by wind waves tend to have smaller peak wave periods, and regimes that are dominated by swell tend to have larger peak wave periods. Maximum Wave Period is denoted by T_max symbol.

How to evaluate Most Probable Maximum Wave Period using this online evaluator? To use this online evaluator for Most Probable Maximum Wave Period, enter Spectral Width (v) & Wave Height (H) and hit the calculate button.

FAQs on Most Probable Maximum Wave Period

What is the formula to find Most Probable Maximum Wave Period?

The formula of Most Probable Maximum Wave Period is expressed as Maximum Wave Period = 2*sqrt(1+Spectral Width^2)/1+sqrt(1+(16*Spectral Width^2/pi*Wave Height^2)). Here is an example- 87.80989 = 2*sqrt(1+10^2)/1+sqrt(1+(16*10^2/pi*3^2)).

How to calculate Most Probable Maximum Wave Period?

With Spectral Width (v) & Wave Height (H) we can find Most Probable Maximum Wave Period using the formula - Maximum Wave Period = 2*sqrt(1+Spectral Width^2)/1+sqrt(1+(16*Spectral Width^2/pi*Wave Height^2)). This formula also uses Archimedes' constant and Square Root (sqrt) function(s).

What are the other ways to Calculate Maximum Wave Period?

Here are the different ways to Calculate Maximum Wave Period-

Maximum Wave Period=Coefficient Eckman*Mean Wave Period

Can the Most Probable Maximum Wave Period be negative?

Yes, the Most Probable Maximum Wave Period, measured in Time can be negative.

Which unit is used to measure Most Probable Maximum Wave Period?

Most Probable Maximum Wave Period is usually measured using the Second[s] for Time. Millisecond[s], Microsecond[s], Nanosecond[s] are the few other units in which Most Probable Maximum Wave Period can be measured.

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Most Probable Maximum Wave Period Formula

​GoMaximum Wave Period Formula

Most Probable Maximum Wave Period Example

Most Probable Maximum Wave Period Solution

Most Probable Maximum Wave Period Formula Elements

Other Formulas to find Maximum Wave Period

Other formulas in Wave Period Distribution and Wave Spectrum category

How to Evaluate Most Probable Maximum Wave Period?

FAQs on Most Probable Maximum Wave Period

Variable Name

GoMaximum Wave Period Formula