Water Depth given Volume of Water within Wave above Still Water Level Solution

STEP 0: Pre-Calculation Summary
Formula Used
Water Depth from Bed = ((Volume of Water per Unit Crest Width)^2/((16/3)*Height of the Wave))^(1/3)
Dw = ((V)^2/((16/3)*Hw))^(1/3)
This formula uses 3 Variables
Variables Used
Water Depth from Bed - (Measured in Meter) - Water Depth from Bed means the depth as measured from the water level to the bottom of the considered water body.
Volume of Water per Unit Crest Width - (Measured in Square Meter) - Volume of Water per Unit Crest Width is the volume of water within the wave per unit of crest width.
Height of the Wave - (Measured in Meter) - Height of the Wave is the difference between the elevations of a crest and a neighboring trough.
STEP 1: Convert Input(s) to Base Unit
Volume of Water per Unit Crest Width: 2608.448 Square Meter --> 2608.448 Square Meter No Conversion Required
Height of the Wave: 14 Meter --> 14 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Dw = ((V)^2/((16/3)*Hw))^(1/3) --> ((2608.448)^2/((16/3)*14))^(1/3)
Evaluating ... ...
Dw = 45.0000021355907
STEP 3: Convert Result to Output's Unit
45.0000021355907 Meter --> No Conversion Required
FINAL ANSWER
45.0000021355907 45 Meter <-- Water Depth from Bed
(Calculation completed in 00.020 seconds)

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Coorg Institute of Technology (CIT), Coorg
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Solitary Wave Calculators

Water Surface above Bottom
​ LaTeX ​ Go Water Surface Ordinate = Water Depth from Bed+Height of the Wave*(sech(sqrt((3/4)*(Height of the Wave/Water Depth from Bed^3))*(Spatial (Progressive Wave)-(Celerity of the Wave*Temporal (Progressive Wave)))))^2
Wave Height given Celerity of Solitary Wave
​ LaTeX ​ Go Height of the Wave = (Celerity of the Wave^2/[g])-Water Depth from Bed
Water Depth given Volume of Water within Wave above Still Water Level
​ LaTeX ​ Go Water Depth from Bed = ((Volume of Water per Unit Crest Width)^2/((16/3)*Height of the Wave))^(1/3)
Volume of Water above Still Water Level per Unit Crest Width
​ LaTeX ​ Go Volume of Water per Unit Crest Width = ((16/3)*Water Depth from Bed^3*Height of the Wave)^0.5

Water Depth given Volume of Water within Wave above Still Water Level Formula

​LaTeX ​Go
Water Depth from Bed = ((Volume of Water per Unit Crest Width)^2/((16/3)*Height of the Wave))^(1/3)
Dw = ((V)^2/((16/3)*Hw))^(1/3)

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 Water Depth given Volume of Water within Wave above Still Water Level?

Water Depth given Volume of Water within Wave above Still Water Level calculator uses Water Depth from Bed = ((Volume of Water per Unit Crest Width)^2/((16/3)*Height of the Wave))^(1/3) to calculate the Water Depth from Bed, The Water Depth given Volume of Water within Wave above Still Water Level measurement is the process of measuring and monitoring the depth of water when we have a prior information of the volume of water water within wave. Water Depth from Bed is denoted by Dw symbol.

How to calculate Water Depth given Volume of Water within Wave above Still Water Level using this online calculator? To use this online calculator for Water Depth given Volume of Water within Wave above Still Water Level, enter Volume of Water per Unit Crest Width (V) & Height of the Wave (Hw) and hit the calculate button. Here is how the Water Depth given Volume of Water within Wave above Still Water Level calculation can be explained with given input values -> 45 = ((2608.448)^2/((16/3)*14))^(1/3).

FAQ

What is Water Depth given Volume of Water within Wave above Still Water Level?
The Water Depth given Volume of Water within Wave above Still Water Level measurement is the process of measuring and monitoring the depth of water when we have a prior information of the volume of water water within wave and is represented as Dw = ((V)^2/((16/3)*Hw))^(1/3) or Water Depth from Bed = ((Volume of Water per Unit Crest Width)^2/((16/3)*Height of the Wave))^(1/3). Volume of Water per Unit Crest Width is the volume of water within the wave per unit of crest width & Height of the Wave is the difference between the elevations of a crest and a neighboring trough.
How to calculate Water Depth given Volume of Water within Wave above Still Water Level?
The Water Depth given Volume of Water within Wave above Still Water Level measurement is the process of measuring and monitoring the depth of water when we have a prior information of the volume of water water within wave is calculated using Water Depth from Bed = ((Volume of Water per Unit Crest Width)^2/((16/3)*Height of the Wave))^(1/3). To calculate Water Depth given Volume of Water within Wave above Still Water Level, you need Volume of Water per Unit Crest Width (V) & Height of the Wave (Hw). With our tool, you need to enter the respective value for Volume of Water per Unit Crest Width & Height of the Wave 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 Water Depth from Bed?
In this formula, Water Depth from Bed uses Volume of Water per Unit Crest Width & Height of the Wave. We can use 2 other way(s) to calculate the same, which is/are as follows -
  • Water Depth from Bed = (Celerity of the Wave^2/[g])-Height of the Wave
  • Water Depth from Bed = (Total Wave Energy per Unit Crest Width/((8/(3*sqrt(3)))*Density of Salt Water*[g]*Height of the Wave^(3/2)))^(2/3)
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