Wave Component Amplitude Calculator

✖Coefficient of Wave Component Amplitude of wave profile time trace written as an infinite sum of sinusoids of amplitude.ⓘ Coefficient of Wave Component Amplitude [a_n]			+10% -10%
✖Coefficient of Wave Component Amplitude bn of wave profile time trace written as an infinite sum of sinusoids of amplitude.ⓘ Coefficient of Wave Component Amplitude bn [b_n]			+10% -10%

✖Wave Amplitude is a measurement of the vertical distance of the wave from the average.ⓘ Wave Component Amplitude [a]

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Formula

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Wave Component Amplitude

Formula

`"a" = sqrt(0.5*sqrt("a"_{"n"}^2+"b"_{"n"}^2))`

Example

`"0.551487m"=sqrt(0.5*sqrt(("0.6")^2+("0.1")^2))`

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Wave Component Amplitude Solution

STEP 0: Pre-Calculation Summary

Formula Used

Wave Amplitude = sqrt(0.5*sqrt(Coefficient of Wave Component Amplitude^2+Coefficient of Wave Component Amplitude bn^2))
a = sqrt(0.5*sqrt(a_n^2+b_n^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

Wave Amplitude - (Measured in Meter) - Wave Amplitude is a measurement of the vertical distance of the wave from the average.
Coefficient of Wave Component Amplitude - Coefficient of Wave Component Amplitude of wave profile time trace written as an infinite sum of sinusoids of amplitude.
Coefficient of Wave Component Amplitude bn - Coefficient of Wave Component Amplitude bn of wave profile time trace written as an infinite sum of sinusoids of amplitude.

STEP 1: Convert Input(s) to Base Unit

Coefficient of Wave Component Amplitude: 0.6 --> No Conversion Required
Coefficient of Wave Component Amplitude bn: 0.1 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

a = sqrt(0.5*sqrt(a_n^2+b_n^2)) --> sqrt(0.5*sqrt(0.6^2+0.1^2))

Evaluating ... ...

a = 0.551487195241114

STEP 3: Convert Result to Output's Unit

0.551487195241114 Meter --> No Conversion Required

FINAL ANSWER

0.551487195241114 ≈ 0.551487 Meter <-- Wave Amplitude

(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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< 12 Wave Period Distribution and Wave Spectrum Calculators

Equilibrium Form of PM Spectrum for Fully-Developed Seas

Go Frequency Energy Spectrum = ((0.0081*[g]^2)/((2*pi)^4*Wave Frequency^5))*exp(-0.24*((2*pi*Wind Speed*Wave Frequency)/[g])^-4)

Most Probable Maximum Wave Period

Go Maximum Wave Period = 2*sqrt(1+Spectral Width^2)/1+sqrt(1+(16*Spectral Width^2/pi*Wave Height^2))

Probability Density of Wave Period

Go Probability = 2.7*(Wave Period^3/Mean Wave Period)*exp(-0.675*(Wave Period/Mean Wave Period)^4)

Wave Component Amplitude

Go Wave Amplitude = sqrt(0.5*sqrt(Coefficient of Wave Component Amplitude^2+Coefficient of Wave Component Amplitude bn^2))

Spectral Bandwidth

Go Spectral Width = sqrt(1-(Moment of Wave Spectrum 2^2/(Zero-th Moment of Wave Spectrum*Moment of Wave Spectrum 4)))

Spectral Width

Go Spectral Width = sqrt((Zero-th Moment of Wave Spectrum*Moment of Wave Spectrum 2/Moment of Wave Spectrum 1^2)-1)

Mean Zero-upcrossing Period

Go Mean Zero-upcrossing Period = 2*pi*sqrt(Zero-th Moment of Wave Spectrum/Moment of Wave Spectrum 2)

Relative Phase given coefficients

Go Relative Phase = atanh(Coefficient of Wave Component Amplitude bn/Coefficient of Wave Component Amplitude)

Mean Crest Period

Go Wave Crest Period = 2*pi*(Moment of Wave Spectrum 2/Moment of Wave Spectrum 4)

Mean Wave Period

Go Wave Period = 2*pi*(Zero-th Moment of Wave Spectrum/Moment of Wave Spectrum 1)

Normal Distribution with Wave Period

Go Wave Period = Zero-th Moment of Wave Spectrum/Moment of Wave Spectrum 1

Maximum Wave Period

Go Maximum Wave Period = Coefficient Eckman*Mean Wave Period

Wave Component Amplitude Formula

Wave Amplitude = sqrt(0.5*sqrt(Coefficient of Wave Component Amplitude^2+Coefficient of Wave Component Amplitude bn^2))
a = sqrt(0.5*sqrt(a_n^2+b_n^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 Wave Component Amplitude?

Wave Component Amplitude calculator uses Wave Amplitude = sqrt(0.5*sqrt(Coefficient of Wave Component Amplitude^2+Coefficient of Wave Component Amplitude bn^2)) to calculate the Wave Amplitude, The Wave Component Amplitude of wave profile time trace written as an infinite sum of sinusoids of amplitude. Wave Amplitude is denoted by a symbol.

How to calculate Wave Component Amplitude using this online calculator? To use this online calculator for Wave Component Amplitude, enter Coefficient of Wave Component Amplitude (a_n) & Coefficient of Wave Component Amplitude bn (b_n) and hit the calculate button. Here is how the Wave Component Amplitude calculation can be explained with given input values -> 0.551487 = sqrt(0.5*sqrt(0.6^2+0.1^2)).

FAQ

What is Wave Component Amplitude?

The Wave Component Amplitude of wave profile time trace written as an infinite sum of sinusoids of amplitude and is represented as a = sqrt(0.5*sqrt(a_n^2+b_n^2)) or Wave Amplitude = sqrt(0.5*sqrt(Coefficient of Wave Component Amplitude^2+Coefficient of Wave Component Amplitude bn^2)). Coefficient of Wave Component Amplitude of wave profile time trace written as an infinite sum of sinusoids of amplitude & Coefficient of Wave Component Amplitude bn of wave profile time trace written as an infinite sum of sinusoids of amplitude.

How to calculate Wave Component Amplitude?

The Wave Component Amplitude of wave profile time trace written as an infinite sum of sinusoids of amplitude is calculated using Wave Amplitude = sqrt(0.5*sqrt(Coefficient of Wave Component Amplitude^2+Coefficient of Wave Component Amplitude bn^2)). To calculate Wave Component Amplitude, you need Coefficient of Wave Component Amplitude (a_n) & Coefficient of Wave Component Amplitude bn (b_n). With our tool, you need to enter the respective value for Coefficient of Wave Component Amplitude & Coefficient of Wave Component Amplitude bn 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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