Spectral Energy Density Calculator

✖Dimensionless Constant are numbers having no units attached and having a numerical value that is independent of whatever system of units may be used.ⓘ Dimensionless Constant [λ]			+10% -10%
✖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.ⓘ Coriolis Frequency [f]			+10% -10%

✖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.ⓘ Spectral Energy Density [E_(f)]

⎘ Copy

👎

Formula

✖

Spectral Energy Density

Formula

`"E"_{"(f)"} = ("λ"*("[g]"^2)*("f"^-5))/(2*pi)^4`

Example

`"0.003085"=("1.6"*("[g]"^2)*(("2")^-5))/(2*pi)^4`

Calculator

LaTeX

Reset

👍

Download Estimating Marine and Coastal Winds Formulas PDF

Spectral Energy Density Solution

STEP 0: Pre-Calculation Summary

Formula Used

Spectral Energy Density = (Dimensionless Constant*([g]^2)*(Coriolis Frequency^-5))/(2*pi)^4
E_(f) = (λ*([g]^2)*(f^-5))/(2*pi)^4
This formula uses 2 Constants, 3 Variables

Constants Used

[g] - Gravitational acceleration on Earth Value Taken As 9.80665
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

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.
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.
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.

STEP 1: Convert Input(s) to Base Unit

Dimensionless Constant: 1.6 --> No Conversion Required
Coriolis Frequency: 2 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

E_(f) = (λ*([g]^2)*(f^-5))/(2*pi)^4 --> (1.6*([g]^2)*(2^-5))/(2*pi)^4

Evaluating ... ...

E_(f) = 0.00308526080579487

STEP 3: Convert Result to Output's Unit

0.00308526080579487 --> No Conversion Required

FINAL ANSWER

0.00308526080579487 ≈ 0.003085 <-- Spectral Energy Density

(Calculation completed in 00.004 seconds)

You are here -

Home » Engineering » Civil » Coastal and Ocean Engineering » Estimating Marine and Coastal Winds » Wave Hindcasting and Forecasting » Spectral Energy Density

Credits

Created by Mithila Muthamma PA

Coorg Institute of Technology (CIT), Coorg

Mithila Muthamma PA has created this Calculator and 2000+ more calculators!

Verified by Chandana P Dev

NSS College of Engineering (NSSCE), Palakkad

Chandana P Dev has verified this Calculator and 1700+ more calculators!

< 9 Wave Hindcasting and Forecasting Calculators

Spectral Energy Density or Classical Moskowitz Spectrum

Go Spectral Energy Density = ((Dimensionless Constant*([g]^2)*(Coriolis Frequency^-5))/(2*pi)^4)*exp(0.74*(Coriolis Frequency/Limiting Frequency)^-4)

Straight-Line Distance over which Wind Blows

Go Straight Line Distance over which Wind Blows = (Friction Velocity^2/[g])*5.23*10^-3*([g]*Wind Duration/Friction Velocity)^(3/2)

Wind Speed given Time required for Waves crossing Fetch under Wind Velocity

Go Wind Speed = ((77.23*Straight Line Distance over which Wind Blows^0.67)/(Time required for Waves crossing Fetch*[g]^0.33))^(1/0.34)

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

Go Straight Line Distance over which Wind Blows = ((Time required for Waves crossing Fetch*Wind Speed^0.34*[g]^0.33)/77.23)^(1/0.67)

Time required for Waves Crossing Fetch under Wind Velocity to become Fetch Limited

Go Time required for Waves crossing Fetch = 77.23*(Straight Line Distance over which Wind Blows^0.67/(Wind Speed^0.34*[g]^0.33))

Spectral Energy Density

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

Water Depth for given Limiting Wave Period

Go Water Depth from Bed = [g]*(Limiting Wave Period/9.78)^(1/0.5)

Limiting Wave Period

Go Limiting Wave Period = 9.78*((Water Depth from Bed/[g])^0.5)

Drag Coefficient for Wind Speed at 10m Elevation

Go Drag Coefficient = 0.001*(1.1+(0.035*Wind Speed at Height of 10 m))

Spectral Energy Density Formula

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

What is Coriolis frequency?

The Coriolis frequency ƒ, 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.

How to Calculate Spectral Energy Density?

Spectral Energy Density calculator uses Spectral Energy Density = (Dimensionless Constant*([g]^2)*(Coriolis Frequency^-5))/(2*pi)^4 to calculate the Spectral Energy Density, The Spectral Energy Density formula is defined as a parameter describing how the energy of a signal or a time series is distributed with frequency. Spectral Energy Density is denoted by E_(f) symbol.

How to calculate Spectral Energy Density using this online calculator? To use this online calculator for Spectral Energy Density, enter Dimensionless Constant (λ) & Coriolis Frequency (f) and hit the calculate button. Here is how the Spectral Energy Density calculation can be explained with given input values -> 0.003085 = (1.6*([g]^2)*(2^-5))/(2*pi)^4.

FAQ

What is Spectral Energy Density?

The Spectral Energy Density formula is defined as a parameter describing how the energy of a signal or a time series is distributed with frequency and is represented as E_(f) = (λ*([g]^2)*(f^-5))/(2*pi)^4 or Spectral Energy Density = (Dimensionless Constant*([g]^2)*(Coriolis Frequency^-5))/(2*pi)^4. Dimensionless Constant are numbers having no units attached and having a numerical value that is independent of whatever system of units may be used & 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.

How to calculate Spectral Energy Density?

The Spectral Energy Density formula is defined as a parameter describing how the energy of a signal or a time series is distributed with frequency is calculated using Spectral Energy Density = (Dimensionless Constant*([g]^2)*(Coriolis Frequency^-5))/(2*pi)^4. To calculate Spectral Energy Density, you need Dimensionless Constant (λ) & Coriolis Frequency (f). With our tool, you need to enter the respective value for Dimensionless Constant & Coriolis Frequency and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Spectral Energy Density?

In this formula, Spectral Energy Density uses Dimensionless Constant & Coriolis Frequency. We can use 1 other way(s) to calculate the same, which is/are as follows -

Spectral Energy Density = ((Dimensionless Constant*([g]^2)*(Coriolis Frequency^-5))/(2*pi)^4)*exp(0.74*(Coriolis Frequency/Limiting Frequency)^-4)

Home

FREE PDFs

🔍 Search