Water Depth given Celerity of Solitary Wave Calculator

✖Celerity of the Wave refers to the speed at which a wave propagates through a medium.ⓘ Celerity of the Wave [C]			+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 Celerity of Solitary Wave [D_w]

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Water Depth given Celerity of Solitary Wave Solution

STEP 0: Pre-Calculation Summary

Formula Used

Water Depth from Bed = (Celerity of the Wave^2/[g])-Height of the Wave
D_w = (C^2/[g])-H_w
This formula uses 1 Constants, 3 Variables

Constants Used

[g] - Gravitational acceleration on Earth Value Taken As 9.80665

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.
Celerity of the Wave - (Measured in Meter per Second) - Celerity of the Wave refers to the speed at which a wave propagates through a medium.
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

Celerity of the Wave: 24.05 Meter per Second --> 24.05 Meter per Second 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 = (C^2/[g])-H_w --> (24.05^2/[g])-14

Evaluating ... ...

D_w = 44.9806406876966

STEP 3: Convert Result to Output's Unit

44.9806406876966 Meter --> No Conversion Required

FINAL ANSWER

44.9806406876966 ≈ 44.98064 Meter <-- Water Depth from Bed

(Calculation completed in 00.004 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 Celerity of Solitary Wave Formula

LaTeX Go

Water Depth from Bed = (Celerity of the Wave^2/[g])-Height of the Wave
D_w = (C^2/[g])-H_w

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 Celerity of Solitary Wave?

Water Depth given Celerity of Solitary Wave calculator uses Water Depth from Bed = (Celerity of the Wave^2/[g])-Height of the Wave to calculate the Water Depth from Bed, The Water Depth given Celerity of Solitary Wave is defined as the measuring and monitoring the depth of water. It is carried out using a water depth meter, which allows the user to collect large amounts of data with minimal time and effort. Water Depth from Bed is denoted by D_w symbol.

How to calculate Water Depth given Celerity of Solitary Wave using this online calculator? To use this online calculator for Water Depth given Celerity of Solitary Wave, enter Celerity of the Wave (C) & Height of the Wave (H_w) and hit the calculate button. Here is how the Water Depth given Celerity of Solitary Wave calculation can be explained with given input values -> 44.98064 = (24.05^2/[g])-14.

FAQ

What is Water Depth given Celerity of Solitary Wave?

The Water Depth given Celerity of Solitary Wave is defined as the measuring and monitoring the depth of water. It is carried out using a water depth meter, which allows the user to collect large amounts of data with minimal time and effort and is represented as D_w = (C^2/[g])-H_w or Water Depth from Bed = (Celerity of the Wave^2/[g])-Height of the Wave. Celerity of the Wave refers to the speed at which a wave propagates through a medium & Height of the Wave is the difference between the elevations of a crest and a neighboring trough.

How to calculate Water Depth given Celerity of Solitary Wave?

The Water Depth given Celerity of Solitary Wave is defined as the measuring and monitoring the depth of water. It is carried out using a water depth meter, which allows the user to collect large amounts of data with minimal time and effort is calculated using Water Depth from Bed = (Celerity of the Wave^2/[g])-Height of the Wave. To calculate Water Depth given Celerity of Solitary Wave, you need Celerity of the Wave (C) & Height of the Wave (H_w). With our tool, you need to enter the respective value for Celerity of the Wave & 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 Celerity of the Wave & Height of the Wave. We can use 2 other way(s) to calculate the same, which is/are as follows -

Water Depth from Bed = ((Volume of Water per Unit Crest Width)^2/((16/3)*Height of the Wave))^(1/3)
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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