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Phillip's Equilibrium Range of Spectrum for Fully Developed Sea in Deep Water Formula

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Phillip's Equilibrium Range of Spectrum is the range of wave frequencies for which the rate of energy input from the wind matches the rate of dissipation due to wave breaking. Check FAQs

E ω = b \cdot {[g]}^{2} \cdot ω^{- 5}

E_ω - Phillip's Equilibrium Range of Spectrum?b - Constant B?ω - Wave Angular Frequency?[g] - Gravitational acceleration on Earth?

Phillip's Equilibrium Range of Spectrum for Fully Developed Sea in Deep Water Example

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Here is how the Phillip's Equilibrium Range of Spectrum for Fully Developed Sea in Deep Water equation looks like with Values.

Here is how the Phillip's Equilibrium Range of Spectrum for Fully Developed Sea in Deep Water equation looks like with Units.

Here is how the Phillip's Equilibrium Range of Spectrum for Fully Developed Sea in Deep Water equation looks like.

0.001 = 0.1 \cdot {9.8066}^{2} \cdot {6.2}^{- 5}

0.001 = 0.1 \cdot {9.8066m/s²}^{2} \cdot {6.2rad/s}^{- 5}

0.001 = 0.1 \cdot {9.8066}^{2} \cdot {6.2}^{- 5}

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Phillip's Equilibrium Range of Spectrum for Fully Developed Sea in Deep Water Solution

Follow our step by step solution on how to calculate Phillip's Equilibrium Range of Spectrum for Fully Developed Sea in Deep Water?

FIRST Step Consider the formula

E ω = b \cdot {[g]}^{2} \cdot ω^{- 5}

Next Step Substitute values of Variables

∴

E ω = 0.1 \cdot {[g]}^{2} \cdot {6.2rad/s}^{- 5}

Next Step Substitute values of Constants

∴

E ω = 0.1 \cdot {9.8066m/s²}^{2} \cdot {6.2rad/s}^{- 5}

Next Step Prepare to Evaluate

∴

E ω = 0.1 \cdot {9.8066}^{2} \cdot {6.2}^{- 5}

Next Step Evaluate

∴

E ω = 0.00104974279780533

LAST Step Rounding Answer

∴

E ω = 0.001

Phillip's Equilibrium Range of Spectrum for Fully Developed Sea in Deep Water Formula Elements

Variables

Constants

Phillip's Equilibrium Range of Spectrum

Phillip's Equilibrium Range of Spectrum is the range of wave frequencies for which the rate of energy input from the wind matches the rate of dissipation due to wave breaking.

Symbol: E_ω

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Phillip's Equilibrium Range of Spectrum

Constant B

Constant B often refers to the significant wave height. Significant wave height is defined as the average of the highest one-third of waves in a wave record.

Symbol: b

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Constant B

Wave Angular Frequency

Wave Angular Frequency is the rate of change of the phase of the wave over time, given by the symbol ω (omega).

Symbol: ω

Measurement: Angular FrequencyUnit: rad/s

Note: Value can be positive or negative.

Formulas to find Wave Angular Frequency

Gravitational acceleration on Earth

Gravitational acceleration on Earth means that the velocity of an object in free fall will increase by 9.8 m/s2 every second.

Symbol: [g]

Value: 9.80665 m/s²

Other formulas in Parametric Spectrum Models category

Go JONSWAP Spectrum for Fetch-limited Seas

E f = (\frac{α \cdot {[g]}^{2}}{{(2 \cdot π)}^{4} \cdot f^{5}}) \cdot {(\exp (- 1.25 \cdot {(\frac{f}{f p})}^{- 4}) \cdot γ)}^{\exp (- \frac{{((\frac{f}{f p}) - 1)}^{2}}{2 \cdot σ^{2}})}

Go Frequency at Spectral Peak

f p = 3.5 \cdot {(\frac{{[g]}^{2} \cdot F l}{{V 10}^{3}})}^{- 0.33}

Go Fetch Length given Frequency at Spectral Peak

F l = \frac{({V 10}^{3}) \cdot ({(\frac{f p}{3.5})}^{- (\frac{1}{0.33})})}{{[g]}^{2}}

Go Wind Speed at Elevation 10m above Sea Surface given Frequency at Spectral Peak

V = {(\frac{F l \cdot {[g]}^{2}}{{(\frac{f p}{3.5})}^{- (\frac{1}{0.33})}})}^{\frac{1}{3}}

How to Evaluate Phillip's Equilibrium Range of Spectrum for Fully Developed Sea in Deep Water?

Phillip's Equilibrium Range of Spectrum for Fully Developed Sea in Deep Water evaluator uses Phillip's Equilibrium Range of Spectrum = Constant B*[g]^2*Wave Angular Frequency^-5 to evaluate the Phillip's Equilibrium Range of Spectrum, The Phillip's Equilibrium Range of Spectrum for Fully Developed Sea in Deep Water formula is defined as the energy distribution of ocean waves in a fully developed sea state in deep water. Phillip's Equilibrium Range of Spectrum is denoted by E_ω symbol.

How to evaluate Phillip's Equilibrium Range of Spectrum for Fully Developed Sea in Deep Water using this online evaluator? To use this online evaluator for Phillip's Equilibrium Range of Spectrum for Fully Developed Sea in Deep Water, enter Constant B (b) & Wave Angular Frequency (ω) and hit the calculate button.

FAQs on Phillip's Equilibrium Range of Spectrum for Fully Developed Sea in Deep Water

What is the formula to find Phillip's Equilibrium Range of Spectrum for Fully Developed Sea in Deep Water?

The formula of Phillip's Equilibrium Range of Spectrum for Fully Developed Sea in Deep Water is expressed as Phillip's Equilibrium Range of Spectrum = Constant B*[g]^2*Wave Angular Frequency^-5. Here is an example- 0.00105 = 0.1*[g]^2*6.2^-5.

How to calculate Phillip's Equilibrium Range of Spectrum for Fully Developed Sea in Deep Water?

With Constant B (b) & Wave Angular Frequency (ω) we can find Phillip's Equilibrium Range of Spectrum for Fully Developed Sea in Deep Water using the formula - Phillip's Equilibrium Range of Spectrum = Constant B*[g]^2*Wave Angular Frequency^-5. This formula also uses Gravitational acceleration on Earth constant(s).

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Phillip's Equilibrium Range of Spectrum for Fully Developed Sea in Deep Water Formula

Phillip's Equilibrium Range of Spectrum for Fully Developed Sea in Deep Water Example

Phillip's Equilibrium Range of Spectrum for Fully Developed Sea in Deep Water Solution

Phillip's Equilibrium Range of Spectrum for Fully Developed Sea in Deep Water Formula Elements

Other formulas in Parametric Spectrum Models category

How to Evaluate Phillip's Equilibrium Range of Spectrum for Fully Developed Sea in Deep Water?

FAQs on Phillip's Equilibrium Range of Spectrum for Fully Developed Sea in Deep Water

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