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Spectral Width Formula

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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. Check FAQs

v = \sqrt{(m 0 \cdot \frac{m 2}{{m 1}^{2}}) - 1}

v - Spectral Width?m₀ - Zero-th Moment of Wave Spectrum?m₂ - Moment of Wave Spectrum 2?m₁ - Moment of Wave Spectrum 1?

Spectral Width Example

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Here is how the Spectral Width equation looks like with Values.

Here is how the Spectral Width equation looks like with Units.

Here is how the Spectral Width equation looks like.

9.5786 = \sqrt{(265 \cdot \frac{1.4}{2^{2}}) - 1}

9.5786 = \sqrt{(265 \cdot \frac{1.4}{2^{2}}) - 1}

9.5786 = \sqrt{(265 \cdot \frac{1.4}{2^{2}}) - 1}

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Spectral Width Solution

Follow our step by step solution on how to calculate Spectral Width?

FIRST Step Consider the formula

v = \sqrt{(m 0 \cdot \frac{m 2}{{m 1}^{2}}) - 1}

Next Step Substitute values of Variables

∴

v = \sqrt{(265 \cdot \frac{1.4}{2^{2}}) - 1}

Next Step Prepare to Evaluate

∴

v = \sqrt{(265 \cdot \frac{1.4}{2^{2}}) - 1}

Next Step Evaluate

∴

v = 9.57862203033401

LAST Step Rounding Answer

∴

v = 9.5786

Spectral Width Formula Elements

Variables

Functions

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

Zero-th Moment of Wave Spectrum

Zero-th Moment of Wave Spectrum is a measure of the total energy contained in the wave spectrum. It represents the integral of the wave spectrum over all frequencies.

Symbol: m₀

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Zero-th Moment of Wave Spectrum

Moment of Wave Spectrum 2

Moment of Wave Spectrum 2 in terms of cyclic frequency are used to characterize its shape and intensity.

Symbol: m₂

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Moment of Wave Spectrum 2

Moment of Wave Spectrum 1

Moment of Wave Spectrum 1 are used to characterize its shape and intensity.

Symbol: m₁

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Moment of Wave Spectrum 1

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 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 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})}

How to Evaluate Spectral Width?

Spectral Width evaluator uses Spectral Width = sqrt((Zero-th Moment of Wave Spectrum*Moment of Wave Spectrum 2/Moment of Wave Spectrum 1^2)-1) to evaluate the Spectral Width, The Spectral Width is the wavelength interval over which the magnitude of all spectral components is equal to or greater than a specified fraction of the magnitude of the component having the maximum value. Spectral Width is denoted by v symbol.

How to evaluate Spectral Width using this online evaluator? To use this online evaluator for Spectral Width, enter Zero-th Moment of Wave Spectrum (m₀), Moment of Wave Spectrum 2 (m₂) & Moment of Wave Spectrum 1 (m₁) and hit the calculate button.

FAQs on Spectral Width

What is the formula to find Spectral Width?

The formula of Spectral Width is expressed as Spectral Width = sqrt((Zero-th Moment of Wave Spectrum*Moment of Wave Spectrum 2/Moment of Wave Spectrum 1^2)-1). Here is an example- 9.578622 = sqrt((265*1.4/2^2)-1).

How to calculate Spectral Width?

With Zero-th Moment of Wave Spectrum (m₀), Moment of Wave Spectrum 2 (m₂) & Moment of Wave Spectrum 1 (m₁) we can find Spectral Width using the formula - Spectral Width = sqrt((Zero-th Moment of Wave Spectrum*Moment of Wave Spectrum 2/Moment of Wave Spectrum 1^2)-1). This formula also uses Square Root (sqrt) function(s).

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Spectral Width Formula

Spectral Width Example

Spectral Width Solution

Spectral Width Formula Elements

Other formulas in Wave Period Distribution and Wave Spectrum category

How to Evaluate Spectral Width?

FAQs on Spectral Width

Variable Name