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

✖Volume of Water per Unit Crest Width is the volume of water within the wave per unit of crest width.ⓘ Volume of Water per Unit Crest Width [V]			+10% -10%
✖Height of the Wave is the difference between the elevations of a crest and a neighboring trough.ⓘ Height of the Wave [H_w]			+10% -10%

✖Water Depth from Bed means the depth as measured from the water level to the bottom of the considered water body.ⓘ Water Depth given Volume of Water within Wave above Still Water Level [D_w]

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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)
D_w = ((V)^2/((16/3)*H_w))^(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

D_w = ((V)^2/((16/3)*H_w))^(1/3) --> ((2608.448)^2/((16/3)*14))^(1/3)

Evaluating ... ...

D_w = 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 00.007 seconds)

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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)
D_w = ((V)^2/((16/3)*H_w))^(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 D_w 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 (H_w) 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 D_w = ((V)^2/((16/3)*H_w))^(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 (H_w). 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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