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Spectral Energy Density or Classical Moskowitz Spectrum Formula

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Spectral Energy Density is independent of wind speed and saturated region of spectral energy density is assumed to exist in some region from spectral peak to frequencies sufficiently high. Check FAQs

E (f) = (\frac{λ \cdot ({[g]}^{2}) \cdot (f^{- 5})}{{(2 \cdot π)}^{4}}) \cdot \exp (0.74 \cdot {(\frac{f}{f u})}^{- 4})

E_(f) - Spectral Energy Density?λ - Dimensionless Constant?f - Coriolis Frequency?f_u - Limiting Frequency?[g] - Gravitational acceleration on Earth?π - Archimedes' constant?

Spectral Energy Density or Classical Moskowitz Spectrum Example

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Here is how the Spectral Energy Density or Classical Moskowitz Spectrum equation looks like with Values.

Here is how the Spectral Energy Density or Classical Moskowitz Spectrum equation looks like with Units.

Here is how the Spectral Energy Density or Classical Moskowitz Spectrum equation looks like.

0.0031 = (\frac{1.6 \cdot ({9.8066}^{2}) \cdot (2^{- 5})}{{(2 \cdot 3.1416)}^{4}}) \cdot \exp (0.74 \cdot {(\frac{2}{0.0001})}^{- 4})

0.0031 = (\frac{1.6 \cdot ({9.8066m/s²}^{2}) \cdot (2^{- 5})}{{(2 \cdot 3.1416)}^{4}}) \cdot \exp (0.74 \cdot {(\frac{2}{0.0001})}^{- 4})

0.0031 = (\frac{1.6 \cdot ({9.8066}^{2}) \cdot (2^{- 5})}{{(2 \cdot 3.1416)}^{4}}) \cdot \exp (0.74 \cdot {(\frac{2}{0.0001})}^{- 4})

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Spectral Energy Density or Classical Moskowitz Spectrum Solution

Follow our step by step solution on how to calculate Spectral Energy Density or Classical Moskowitz Spectrum?

FIRST Step Consider the formula

E (f) = (\frac{λ \cdot ({[g]}^{2}) \cdot (f^{- 5})}{{(2 \cdot π)}^{4}}) \cdot \exp (0.74 \cdot {(\frac{f}{f u})}^{- 4})

Next Step Substitute values of Variables

∴

E (f) = (\frac{1.6 \cdot ({[g]}^{2}) \cdot (2^{- 5})}{{(2 \cdot π)}^{4}}) \cdot \exp (0.74 \cdot {(\frac{2}{0.0001})}^{- 4})

Next Step Substitute values of Constants

∴

E (f) = (\frac{1.6 \cdot ({9.8066m/s²}^{2}) \cdot (2^{- 5})}{{(2 \cdot 3.1416)}^{4}}) \cdot \exp (0.74 \cdot {(\frac{2}{0.0001})}^{- 4})

Next Step Prepare to Evaluate

∴

E (f) = (\frac{1.6 \cdot ({9.8066}^{2}) \cdot (2^{- 5})}{{(2 \cdot 3.1416)}^{4}}) \cdot \exp (0.74 \cdot {(\frac{2}{0.0001})}^{- 4})

Next Step Evaluate

∴

E (f) = 0.00308526080579487

LAST Step Rounding Answer

∴

E (f) = 0.0031

Spectral Energy Density or Classical Moskowitz Spectrum Formula Elements

Variables

Constants

Functions

Spectral Energy Density

Spectral Energy Density is independent of wind speed and saturated region of spectral energy density is assumed to exist in some region from spectral peak to frequencies sufficiently high.

Symbol: E_(f)

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Spectral Energy Density

Dimensionless Constant

Dimensionless Constant are numbers having no units attached and having a numerical value that is independent of whatever system of units may be used.

Symbol: λ

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Dimensionless Constant

Coriolis Frequency

Coriolis Frequency also called the Coriolis parameter or Coriolis coefficient, is equal to twice the rotation rate Ω of the Earth multiplied by the sine of the latitude φ.

Symbol: f

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Coriolis Frequency

Limiting Frequency

Limiting Frequency for a fully developed Wave Spectrum assumed to be a function fully of wind speed.

Symbol: f_u

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Limiting 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

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

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 to find Spectral Energy Density

Go Spectral Energy Density

E (f) = \frac{λ \cdot ({[g]}^{2}) \cdot (f^{- 5})}{{(2 \cdot π)}^{4}}

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U = {(\frac{77.23 \cdot X^{0.67}}{t x,u \cdot {[g]}^{0.33}})}^{\frac{1}{0.34}}

Go Straight-Line Distance given Time required for Waves Crossing Fetch under Wind Velocity

X = {(\frac{t x,u \cdot U^{0.34} \cdot {[g]}^{0.33}}{77.23})}^{\frac{1}{0.67}}

Go Drag Coefficient for Wind Speed at 10m Elevation

C D = 0.001 \cdot (1.1 + (0.035 \cdot V 10))

How to Evaluate Spectral Energy Density or Classical Moskowitz Spectrum?

Spectral Energy Density or Classical Moskowitz Spectrum evaluator uses Spectral Energy Density = ((Dimensionless Constant*([g]^2)*(Coriolis Frequency^-5))/(2*pi)^4)*exp(0.74*(Coriolis Frequency/Limiting Frequency)^-4) to evaluate the Spectral Energy Density, The Spectral Energy Density or Classical Moskowitz Spectrum formula is defined as a parameter describing how the energy of a signal or a time series is distributed with frequency such that Limiting Frequency for a fully developed Wave Spectrum is assumed to be a function fully of wind speed. Spectral Energy Density is denoted by E_(f) symbol.

How to evaluate Spectral Energy Density or Classical Moskowitz Spectrum using this online evaluator? To use this online evaluator for Spectral Energy Density or Classical Moskowitz Spectrum, enter Dimensionless Constant (λ), Coriolis Frequency (f) & Limiting Frequency (f_u) and hit the calculate button.

FAQs on Spectral Energy Density or Classical Moskowitz Spectrum

What is the formula to find Spectral Energy Density or Classical Moskowitz Spectrum?

The formula of Spectral Energy Density or Classical Moskowitz Spectrum is expressed as Spectral Energy Density = ((Dimensionless Constant*([g]^2)*(Coriolis Frequency^-5))/(2*pi)^4)*exp(0.74*(Coriolis Frequency/Limiting Frequency)^-4). Here is an example- 0.003085 = ((1.6*([g]^2)*(2^-5))/(2*pi)^4)*exp(0.74*(2/0.0001)^-4).

How to calculate Spectral Energy Density or Classical Moskowitz Spectrum?

With Dimensionless Constant (λ), Coriolis Frequency (f) & Limiting Frequency (f_u) we can find Spectral Energy Density or Classical Moskowitz Spectrum using the formula - Spectral Energy Density = ((Dimensionless Constant*([g]^2)*(Coriolis Frequency^-5))/(2*pi)^4)*exp(0.74*(Coriolis Frequency/Limiting Frequency)^-4). This formula also uses Gravitational acceleration on Earth, Archimedes' constant and Exponential Growth (exp) function(s).

What are the other ways to Calculate Spectral Energy Density?

Here are the different ways to Calculate Spectral Energy Density-

Spectral Energy Density=(Dimensionless Constant*([g]^2)*(Coriolis Frequency^-5))/(2*pi)^4

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Spectral Energy Density or Classical Moskowitz Spectrum Formula

​GoSpectral Energy Density Formula

Spectral Energy Density or Classical Moskowitz Spectrum Example

Spectral Energy Density or Classical Moskowitz Spectrum Solution

Spectral Energy Density or Classical Moskowitz Spectrum Formula Elements

Other Formulas to find Spectral Energy Density

Other formulas in Wave Hindcasting and Forecasting category

How to Evaluate Spectral Energy Density or Classical Moskowitz Spectrum?

FAQs on Spectral Energy Density or Classical Moskowitz Spectrum

Variable Name

GoSpectral Energy Density Formula