Maximum Controlling Parameter for Angular Distribution Calculator

✖Frequency at Spectral Peak is the number of occurrences of a repeating event per unit of time.ⓘ Frequency at Spectral Peak [f_p]			+10% -10%
✖Wind Speed at Height of 10 m refers to the average speed of the wind measured at a height of 10 meters above ground level.ⓘ Wind Speed at Height of 10 m [V₁₀]			+10% -10%

✖Controlling Parameter for the Angular Distribution determines the peakedness of the directional spreading.ⓘ Maximum Controlling Parameter for Angular Distribution [s]

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Formula

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Maximum Controlling Parameter for Angular Distribution

Formula

`"s" = 11.5*((2*pi*"f"_{"p"}*"V"_{"10"})/"[g]")^-2.5`

Example

`"2.5E^-5"=11.5*((2*pi*"0.013162kHz"*"22m/s")/"[g]")^-2.5`

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Maximum Controlling Parameter for Angular Distribution Solution

STEP 0: Pre-Calculation Summary

Formula Used

Controlling Parameter for the Angular Distribution = 11.5*((2*pi*Frequency at Spectral Peak*Wind Speed at Height of 10 m)/[g])^-2.5
s = 11.5*((2*pi*f_p*V₁₀)/[g])^-2.5
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

Controlling Parameter for the Angular Distribution - Controlling Parameter for the Angular Distribution determines the peakedness of the directional spreading.
Frequency at Spectral Peak - (Measured in Hertz) - Frequency at Spectral Peak is the number of occurrences of a repeating event per unit of time.
Wind Speed at Height of 10 m - (Measured in Meter per Second) - Wind Speed at Height of 10 m refers to the average speed of the wind measured at a height of 10 meters above ground level.

STEP 1: Convert Input(s) to Base Unit

Frequency at Spectral Peak: 0.013162 Kilohertz --> 13.162 Hertz (Check conversion here)
Wind Speed at Height of 10 m: 22 Meter per Second --> 22 Meter per Second No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

s = 11.5*((2*pi*f_p*V₁₀)/[g])^-2.5 --> 11.5*((2*pi*13.162*22)/[g])^-2.5

Evaluating ... ...

s = 2.45294855624336E-05

STEP 3: Convert Result to Output's Unit

2.45294855624336E-05 --> No Conversion Required

FINAL ANSWER

2.45294855624336E-05 ≈ 2.5E-5 <-- Controlling Parameter for the Angular Distribution

(Calculation completed in 00.004 seconds)

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Created by Mithila Muthamma PA

Coorg Institute of Technology (CIT), Coorg

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< 19 Parametric Spectrum Models Calculators

JONSWAP Spectrum for Fetch-limited Seas

Go Frequency Energy Spectrum = ((Dimensionless Scaling Parameter*[g]^2)/((2*pi)^4*Wave Frequency^5))*(exp(-1.25*(Wave Frequency/Frequency at Spectral Peak)^-4)*Peak Enhancement Factor)^exp(-((Wave Frequency/Frequency at Spectral Peak)-1)^2/(2*Standard Deviation^2))

Frequency of Spectral Peak

Go Frequency at Spectral Peak = ([g]*18.8*(([g]*Fetch Length)/Wind Speed at Height of 10 m^2)^-0.33)/(2*pi*Wind Speed at Height of 10 m)

Frequency of Spectral Peak Given Wind Speed

Go Frequency at Spectral Peak = ([g]*(Controlling Parameter for the Angular Distribution/11.5)^(-1/2.5))/(2*pi*Wind Speed at Height of 10 m)

Wind Speed given Maximum Controlling Parameter for Angular Distribution

Go Wind Speed at Height of 10 m = [g]*(Controlling Parameter for the Angular Distribution/11.5)^(-1/2.5)/(2*pi*Frequency at Spectral Peak)

Maximum Controlling Parameter for Angular Distribution

Go Controlling Parameter for the Angular Distribution = 11.5*((2*pi*Frequency at Spectral Peak*Wind Speed at Height of 10 m)/[g])^-2.5

Wind Speed at Elevation 10m above Sea Surface given Scaling Parameter

Go Wind Speed at Height of 10 m = ((Fetch Length*[g])/(Dimensionless Scaling Parameter/0.076)^(-1/0.22))^0.5

Fetch Length given Scaling Parameter

Go Fetch Length = (Wind Speed at Height of 10 m^2*((Dimensionless Scaling Parameter/0.076)^-(1/0.22)))/[g]

Scaling Parameter

Go Dimensionless Scaling Parameter = 0.076*(([g]*Fetch Length)/Wind Speed at Height of 10 m^2)^-0.22

Dimensionless Time

Go Dimensionless Time = ([g]*Time for Dimensionless Parameter Calculation)/Friction Velocity

Significant Wave Height given Significant Wave Height of Lower and Higher frequency Components

Go Significant Wave Height = sqrt(Significant Wave Height 1^2+Significant Wave Height 2^2)

Significant Wave Height of Higher frequency Component

Go Significant Wave Height 2 = sqrt(Significant Wave Height^2-Significant Wave Height 1^2)

Significant Wave Height of Lower frequency Component

Go Significant Wave Height 1 = sqrt(Significant Wave Height^2-Significant Wave Height 2^2)

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

Go Wind Speed at Height of 10 m = ((Fetch Length*[g]^2)/(Frequency at Spectral Peak/3.5)^-(1/0.33))^(1/3)

Fetch Length given Frequency at Spectral Peak

Go Fetch Length = ((Wind Speed at Height of 10 m^3)*((Frequency at Spectral Peak/3.5)^-(1/0.33)))/[g]^2

Frequency at Spectral Peak

Go Frequency at Spectral Peak = 3.5*(([g]^2*Fetch Length)/Wind Speed at Height of 10 m^3)^-0.33

Shape Factor for Higher Frequency Component

Go Shape Factor for Higher Frequency Component = 1.82*exp(-0.027*Significant Wave Height)

Phillip's equilibrium range of spectrum for fully developed sea in deep water

Go Phillip's Equilibrium Range of Spectrum = Constant B*[g]^2*Wave Angular Frequency^-5

Weighing Factor for Angular Frequency greater than One

Go Weighing Factor = 1-0.5*(2-Wave Angular Frequency)^2

Weighing Factor for angular frequency lesser than or equal to one

Go Weighing Factor = 0.5*Wave Angular Frequency^2

Maximum Controlling Parameter for Angular Distribution Formula

Controlling Parameter for the Angular Distribution = 11.5*((2*pi*Frequency at Spectral Peak*Wind Speed at Height of 10 m)/[g])^-2.5
s = 11.5*((2*pi*f_p*V₁₀)/[g])^-2.5

What are the characteristics of progressive waves?

A progressive wave is formed due to continuous vibration of the particles of the medium.
The wave travels with a certain velocity.
There is a flow of energy in the direction of the wave.
No particles in the medium are at rest.
The amplitude of all the particles is the same.

How to Calculate Maximum Controlling Parameter for Angular Distribution?

Maximum Controlling Parameter for Angular Distribution calculator uses Controlling Parameter for the Angular Distribution = 11.5*((2*pi*Frequency at Spectral Peak*Wind Speed at Height of 10 m)/[g])^-2.5 to calculate the Controlling Parameter for the Angular Distribution, The Maximum Controlling Parameter for Angular Distribution is defined for Angular Distribution determines peakedness of directional spreading. Controlling Parameter for the Angular Distribution is denoted by s symbol.

How to calculate Maximum Controlling Parameter for Angular Distribution using this online calculator? To use this online calculator for Maximum Controlling Parameter for Angular Distribution, enter Frequency at Spectral Peak (f_p) & Wind Speed at Height of 10 m (V₁₀) and hit the calculate button. Here is how the Maximum Controlling Parameter for Angular Distribution calculation can be explained with given input values -> 2.5E-5 = 11.5*((2*pi*13.162*22)/[g])^-2.5.

FAQ

What is Maximum Controlling Parameter for Angular Distribution?

The Maximum Controlling Parameter for Angular Distribution is defined for Angular Distribution determines peakedness of directional spreading and is represented as s = 11.5*((2*pi*f_p*V₁₀)/[g])^-2.5 or Controlling Parameter for the Angular Distribution = 11.5*((2*pi*Frequency at Spectral Peak*Wind Speed at Height of 10 m)/[g])^-2.5. Frequency at Spectral Peak is the number of occurrences of a repeating event per unit of time & Wind Speed at Height of 10 m refers to the average speed of the wind measured at a height of 10 meters above ground level.

How to calculate Maximum Controlling Parameter for Angular Distribution?

The Maximum Controlling Parameter for Angular Distribution is defined for Angular Distribution determines peakedness of directional spreading is calculated using Controlling Parameter for the Angular Distribution = 11.5*((2*pi*Frequency at Spectral Peak*Wind Speed at Height of 10 m)/[g])^-2.5. To calculate Maximum Controlling Parameter for Angular Distribution, you need Frequency at Spectral Peak (f_p) & Wind Speed at Height of 10 m (V₁₀). With our tool, you need to enter the respective value for Frequency at Spectral Peak & Wind Speed at Height of 10 m and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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