Wave Amplitude given Elevation of Water Surface Relative to SWL Calculator

✖Elevation of Water Surface relative to the SWL, Standing Water Level recorded for the water well.ⓘ Elevation of Water Surface [η]			+10% -10%
✖Theta is an angle that can be defined as the figure formed by two rays meeting at a common endpoint.ⓘ Theta [θ]			+10% -10%

✖Wave Amplitude is a measurement of the vertical distance of the wave from the average.ⓘ Wave Amplitude given Elevation of Water Surface Relative to SWL [a]

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Formula

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Wave Amplitude given Elevation of Water Surface Relative to SWL

Formula

`"a" = "η"/cos("θ")`

Example

`"0.207846m"="0.18m"/cos("30°")`

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Wave Amplitude given Elevation of Water Surface Relative to SWL Solution

STEP 0: Pre-Calculation Summary

Formula Used

Wave Amplitude = Elevation of Water Surface/cos(Theta)
a = η/cos(θ)
This formula uses 1 Functions, 3 Variables

Functions Used

cos - Cosine of an angle is the ratio of the side adjacent to the angle to the hypotenuse of the triangle., cos(Angle)

Variables Used

Wave Amplitude - (Measured in Meter) - Wave Amplitude is a measurement of the vertical distance of the wave from the average.
Elevation of Water Surface - (Measured in Meter) - Elevation of Water Surface relative to the SWL, Standing Water Level recorded for the water well.
Theta - (Measured in Radian) - Theta is an angle that can be defined as the figure formed by two rays meeting at a common endpoint.

STEP 1: Convert Input(s) to Base Unit

Elevation of Water Surface: 0.18 Meter --> 0.18 Meter No Conversion Required
Theta: 30 Degree --> 0.5235987755982 Radian (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

a = η/cos(θ) --> 0.18/cos(0.5235987755982)

Evaluating ... ...

a = 0.207846096908265

STEP 3: Convert Result to Output's Unit

0.207846096908265 Meter --> No Conversion Required

FINAL ANSWER

0.207846096908265 ≈ 0.207846 Meter <-- Wave Amplitude

(Calculation completed in 00.020 seconds)

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Created by Mithila Muthamma PA

Coorg Institute of Technology (CIT), Coorg

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< 18 Wave Parameters Calculators

Major horizontal semi-axis given wavelength, wave height and water depth

Go Horizontal Semi-axis of Water Particle = (Wave Height/2)*(cosh(2*pi*(Distance above the Bottom)/Wavelength))/sinh(2*pi*Water Depth/Wavelength)

Minor vertical semi-axis given wavelength, wave height and water depth

Go Vertical Semi-Axis = (Wave Height/2)*(sinh(2*pi*(Distance above the Bottom)/Wavelength))/sinh(2*pi*Water Depth/Wavelength)

Eckart's Equation for Wavelength

Go Wavelength = (([g]*Wave Period^2/2*pi)*sqrt(tanh(4*pi^2*Water Depth)/Wave Period^2*[g]))

Water Depth for maximum wave steepness of waves travelling

Go Water Depth = Wavelength*atanh(Wave Steepness/0.142)/(2*pi)

Wavelength for maximum wave steepness

Go Wavelength = 2*pi*Water Depth/atanh(Wave Steepness/0.142)

Maximum Wave Steepness for Waves Travelling

Go Wave Steepness = 0.142*tanh(2*pi*Water Depth/Wavelength)

Wave Amplitude given Elevation of Water Surface Relative to SWL

Go Wave Amplitude = Elevation of Water Surface/cos(Theta)

Elevation of Water Surface Relative to SWL

Go Elevation of Water Surface = Wave Amplitude*cos(Theta)

Phase Velocity or Wave Celerity given Radian Frequency and Wavenumber

Go Celerity of The Wave = Wave Angular Frequency/Wave Number

Radian Frequency given Wave Celerity

Go Wave Angular Frequency = Celerity of The Wave*Wave Number

Wave Number given Wave Celerity

Go Wave Number = Wave Angular Frequency/Celerity of The Wave

Phase Velocity or Wave Celerity

Go Celerity of The Wave = Wavelength/Wave Period

Angular of Radian Frequency of Wave

Go Wave Angular Frequency = 2*pi/Wave Period

Wave Steepness

Go Wave Steepness = Wave Height/Wavelength

Wave number given wavelength

Go Wave Number = 2*pi/Wavelength

Wave Height given Maximum Wave Steepness Limit by Michell

Go Wave Height = Wavelength*0.142

Wavelength given Maximum Wave Steepness Limit by Michell

Go Wavelength = Wave Height/0.142

Wave Amplitude

Go Wave Amplitude = Wave Height/2

Wave Amplitude given Elevation of Water Surface Relative to SWL Formula

Wave Amplitude = Elevation of Water Surface/cos(Theta)
a = η/cos(θ)

What is Wavelength?

Wavelength is the distance between identical points (adjacent crests) in the adjacent cycles of a waveform signal propagated in space

How to Calculate Wave Amplitude given Elevation of Water Surface Relative to SWL?

Wave Amplitude given Elevation of Water Surface Relative to SWL calculator uses Wave Amplitude = Elevation of Water Surface/cos(Theta) to calculate the Wave Amplitude, Wave Amplitude given Elevation of Water Surface Relative to SWL is maximum displacement or distance moved by point on vibrating body or wave measured from its equilibrium position. Wave Amplitude is denoted by a symbol.

How to calculate Wave Amplitude given Elevation of Water Surface Relative to SWL using this online calculator? To use this online calculator for Wave Amplitude given Elevation of Water Surface Relative to SWL, enter Elevation of Water Surface (η) & Theta (θ) and hit the calculate button. Here is how the Wave Amplitude given Elevation of Water Surface Relative to SWL calculation can be explained with given input values -> 115.4701 = 0.18/cos(0.5235987755982).

FAQ

What is Wave Amplitude given Elevation of Water Surface Relative to SWL?

Wave Amplitude given Elevation of Water Surface Relative to SWL is maximum displacement or distance moved by point on vibrating body or wave measured from its equilibrium position and is represented as a = η/cos(θ) or Wave Amplitude = Elevation of Water Surface/cos(Theta). Elevation of Water Surface relative to the SWL, Standing Water Level recorded for the water well & Theta is an angle that can be defined as the figure formed by two rays meeting at a common endpoint.

How to calculate Wave Amplitude given Elevation of Water Surface Relative to SWL?

Wave Amplitude given Elevation of Water Surface Relative to SWL is maximum displacement or distance moved by point on vibrating body or wave measured from its equilibrium position is calculated using Wave Amplitude = Elevation of Water Surface/cos(Theta). To calculate Wave Amplitude given Elevation of Water Surface Relative to SWL, you need Elevation of Water Surface (η) & Theta (θ). With our tool, you need to enter the respective value for Elevation of Water Surface & Theta 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 Wave Amplitude?

In this formula, Wave Amplitude uses Elevation of Water Surface & Theta. We can use 1 other way(s) to calculate the same, which is/are as follows -

Wave Amplitude = Wave Height/2

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