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

STEP 0: Pre-Calculation Summary
Formula Used
Significant Wave Height = sqrt(Significant Wave Height 1^2+Significant Wave Height 2^2)
Hs = sqrt(Hs1^2+Hs2^2)
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 - (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 for Lower frequency Components.
Significant Wave Height 2 - (Measured in Meter) - Significant Wave Height 2 for Higher frequency Components.
STEP 1: Convert Input(s) to Base Unit
Significant Wave Height 1: 48 Meter --> 48 Meter No Conversion Required
Significant Wave Height 2: 44 Meter --> 44 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Hs = sqrt(Hs1^2+Hs2^2) --> sqrt(48^2+44^2)
Evaluating ... ...
Hs = 65.1152823843988
STEP 3: Convert Result to Output's Unit
65.1152823843988 Meter --> No Conversion Required
FINAL ANSWER
65.1152823843988 โ‰ˆ 65.11528 Meter <-- Significant Wave Height
(Calculation completed in 00.004 seconds)

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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

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

Significant Wave Height = sqrt(Significant Wave Height 1^2+Significant Wave Height 2^2)
Hs = sqrt(Hs1^2+Hs2^2)

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 given Significant Wave Height of Lower and Higher frequency Components?

Significant Wave Height given Significant Wave Height of Lower and Higher frequency Components calculator uses Significant Wave Height = sqrt(Significant Wave Height 1^2+Significant Wave Height 2^2) to calculate the Significant Wave Height, The Significant Wave Height given Significant Wave Height of Lower and Higher frequency Components is defined as the average wave height, from trough to crest, of the highest one-third of the waves. Significant Wave Height is denoted by Hs symbol.

How to calculate Significant Wave Height given Significant Wave Height of Lower and Higher frequency Components using this online calculator? To use this online calculator for Significant Wave Height given Significant Wave Height of Lower and Higher frequency Components, enter Significant Wave Height 1 (Hs1) & Significant Wave Height 2 (Hs2) and hit the calculate button. Here is how the Significant Wave Height given Significant Wave Height of Lower and Higher frequency Components calculation can be explained with given input values -> 65.11528 = sqrt(48^2+44^2).

FAQ

What is Significant Wave Height given Significant Wave Height of Lower and Higher frequency Components?
The Significant Wave Height given Significant Wave Height of Lower and Higher frequency Components is defined as the average wave height, from trough to crest, of the highest one-third of the waves and is represented as Hs = sqrt(Hs1^2+Hs2^2) or Significant Wave Height = sqrt(Significant Wave Height 1^2+Significant Wave Height 2^2). Significant Wave Height 1 for Lower frequency Components & Significant Wave Height 2 for Higher frequency Components.
How to calculate Significant Wave Height given Significant Wave Height of Lower and Higher frequency Components?
The Significant Wave Height given Significant Wave Height of Lower and Higher frequency Components 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 = sqrt(Significant Wave Height 1^2+Significant Wave Height 2^2). To calculate Significant Wave Height given Significant Wave Height of Lower and Higher frequency Components, you need Significant Wave Height 1 (Hs1) & Significant Wave Height 2 (Hs2). With our tool, you need to enter the respective value for Significant Wave Height 1 & Significant Wave Height 2 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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