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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Wave Parameters Calculators

Phase Velocity or Wave Celerity
​ LaTeX ​ Go Celerity of the Wave = Wavelength/Wave Period
Angular of Radian Frequency of Wave
​ LaTeX ​ Go Wave Angular Frequency = 2*pi/Wave Period
Wave number given wavelength
​ LaTeX ​ Go Wave Number = 2*pi/Wavelength
Wave Amplitude
​ LaTeX ​ Go Wave Amplitude = Wave Height/2

Elevation of Water Surface Relative to SWL Formula

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

What is Celerity in open channel flow?

The open channel Surges due to sudden changes of flow depth creates Celerity (Wave Velocity) in the flow in addition to the normal water velocity of the channels. These waves travel in the downstream and sometimes upstream of the channels depending on the various situations.

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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