Significant Wave Height of Higher Frequency Component Calculator

✖Significant Wave Height is defined traditionally as the mean wave height of the highest third of the waves.ⓘ Significant Wave Height [H_s]			+10% -10%
✖Significant Wave Height 1 is the height of wave for Lower frequency components.ⓘ Significant Wave Height 1 [H_s1]			+10% -10%

✖Significant Wave Height 2 is the height of wave for higher frequency components.ⓘ Significant Wave Height of Higher Frequency Component [H_s2]

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Formula

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Significant Wave Height of Higher Frequency Component

Formula

`"H"_{"s2"} = sqrt("H"_{"s"}^2-"H"_{"s1"}^2)`

Example

`"43.82921m"=sqrt(("65m")^2-("48m")^2)`

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Significant Wave Height of Higher Frequency Component Solution

STEP 0: Pre-Calculation Summary

Formula Used

Significant Wave Height 2 = sqrt(Significant Wave Height^2-Significant Wave Height 1^2)
H_s2 = sqrt(H_s^2-H_s1^2)
This formula uses 1 Functions, 3 Variables

Functions Used

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., sqrt(Number)

Variables Used

Significant Wave Height 2 - (Measured in Meter) - Significant Wave Height 2 is the height of wave for higher frequency components.
Significant Wave Height - (Measured in Meter) - Significant Wave Height is defined traditionally as the mean wave height of the highest third of the waves.
Significant Wave Height 1 - (Measured in Meter) - Significant Wave Height 1 is the height of wave for Lower frequency components.

STEP 1: Convert Input(s) to Base Unit

Significant Wave Height: 65 Meter --> 65 Meter No Conversion Required
Significant Wave Height 1: 48 Meter --> 48 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

H_s2 = sqrt(H_s^2-H_s1^2) --> sqrt(65^2-48^2)

Evaluating ... ...

H_s2 = 43.8292140016223

STEP 3: Convert Result to Output's Unit

43.8292140016223 Meter --> No Conversion Required

FINAL ANSWER

43.8292140016223 ≈ 43.82921 Meter <-- Significant Wave Height 2

(Calculation completed in 00.004 seconds)

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Created by Mithila Muthamma PA

Coorg Institute of Technology (CIT), Coorg

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

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NSS College of Engineering (NSSCE), Palakkad

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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)

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)

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

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

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 for Angular Frequency = 1-0.5*(2-Coast Wave Angular Frequency)^2

Weighing Factor for Angular Frequency Lesser than or Equal to One

Go Weighing Factor = 0.5*Wave Angular Frequency^2

Significant Wave Height of Higher Frequency Component Formula

Significant Wave Height 2 = sqrt(Significant Wave Height^2-Significant Wave Height 1^2)
H_s2 = sqrt(H_s^2-H_s1^2)

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 Significant Wave Height of Higher Frequency Component?

Significant Wave Height of Higher Frequency Component calculator uses Significant Wave Height 2 = sqrt(Significant Wave Height^2-Significant Wave Height 1^2) to calculate the Significant Wave Height 2, The Significant Wave Height of Higher Frequency Component is defined as the average wave height, from trough to crest, of the highest one-third of the waves. Significant Wave Height 2 is denoted by H_s2 symbol.

How to calculate Significant Wave Height of Higher Frequency Component using this online calculator? To use this online calculator for Significant Wave Height of Higher Frequency Component, enter Significant Wave Height (H_s) & Significant Wave Height 1 (H_s1) and hit the calculate button. Here is how the Significant Wave Height of Higher Frequency Component calculation can be explained with given input values -> 43.82921 = sqrt(65^2-48^2).

FAQ

What is Significant Wave Height of Higher Frequency Component?

The Significant Wave Height of Higher Frequency Component is defined as the average wave height, from trough to crest, of the highest one-third of the waves and is represented as H_s2 = sqrt(H_s^2-H_s1^2) or Significant Wave Height 2 = sqrt(Significant Wave Height^2-Significant Wave Height 1^2). Significant Wave Height is defined traditionally as the mean wave height of the highest third of the waves & Significant Wave Height 1 is the height of wave for Lower frequency components.

How to calculate Significant Wave Height of Higher Frequency Component?

The Significant Wave Height of Higher Frequency Component is defined as the average wave height, from trough to crest, of the highest one-third of the waves is calculated using Significant Wave Height 2 = sqrt(Significant Wave Height^2-Significant Wave Height 1^2). To calculate Significant Wave Height of Higher Frequency Component, you need Significant Wave Height (H_s) & Significant Wave Height 1 (H_s1). With our tool, you need to enter the respective value for Significant Wave Height & Significant Wave Height 1 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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