Elevation of Water Surface Relative to SWL Calculator

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

✖Elevation of Water Surface relative to the SWL, Standing Water Level recorded for the water well.ⓘ Elevation of Water Surface Relative to SWL [η]

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Formula

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Elevation of Water Surface Relative to SWL

Formula

`"η" = "a"*cos("θ")`

Example

`"1.351m"="1.56m"*cos("30°")`

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Elevation of Water Surface Relative to SWL Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Elevation of Water Surface - (Measured in Meter) - Elevation of Water Surface relative to the SWL, Standing Water Level recorded for the water well.
Wave Amplitude - (Measured in Meter) - Wave Amplitude is a measurement of the vertical distance of the wave from the average.
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

Wave Amplitude: 1.56 Meter --> 1.56 Meter No Conversion Required
Theta: 30 Degree --> 0.5235987755982 Radian (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

η = a*cos(θ) --> 1.56*cos(0.5235987755982)

Evaluating ... ...

η = 1.35099962990372

STEP 3: Convert Result to Output's Unit

1.35099962990372 Meter --> No Conversion Required

FINAL ANSWER

1.35099962990372 ≈ 1.351 Meter <-- Elevation of Water Surface

(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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NSS College of Engineering (NSSCE), Palakkad

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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]))

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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

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Go Wave Steepness = Wave Height/Wavelength

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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

Elevation of Water Surface Relative to SWL Formula

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

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How to Calculate Elevation of Water Surface Relative to SWL?

Elevation of Water Surface Relative to SWL calculator uses Elevation of Water Surface = Wave Amplitude*cos(Theta) to calculate the Elevation of Water Surface, The Elevation of Water Surface Relative to SWL formula is defined as height of water surface relative to Safe Working Loads. Elevation of Water Surface is denoted by η symbol.

How to calculate Elevation of Water Surface Relative to SWL using this online calculator? To use this online calculator for Elevation of Water Surface Relative to SWL, enter Wave Amplitude (a) & Theta (θ) and hit the calculate button. Here is how the Elevation of Water Surface Relative to SWL calculation can be explained with given input values -> 1.351 = 1.56*cos(0.5235987755982).

FAQ

What is Elevation of Water Surface Relative to SWL?

The Elevation of Water Surface Relative to SWL formula is defined as height of water surface relative to Safe Working Loads and is represented as η = a*cos(θ) or Elevation of Water Surface = Wave Amplitude*cos(Theta). Wave Amplitude is a measurement of the vertical distance of the wave from the average & Theta is an angle that can be defined as the figure formed by two rays meeting at a common endpoint.

How to calculate Elevation of Water Surface Relative to SWL?

The Elevation of Water Surface Relative to SWL formula is defined as height of water surface relative to Safe Working Loads is calculated using Elevation of Water Surface = Wave Amplitude*cos(Theta). To calculate Elevation of Water Surface Relative to SWL, you need Wave Amplitude (a) & Theta (θ). With our tool, you need to enter the respective value for Wave Amplitude & Theta 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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