Wave Celerity when Relative Water Depth becomes Shallow Solution

STEP 0: Pre-Calculation Summary
Formula Used
Celerity for Shallow Depth = sqrt([g]*Shallow Depth)
Cs = sqrt([g]*ds)
This formula uses 1 Constants, 1 Functions, 2 Variables
Constants Used
[g] - Gravitational acceleration on Earth Value Taken As 9.80665
Functions Used
sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)
Variables Used
Celerity for Shallow Depth - (Measured in Meter per Second) - Celerity for Shallow Depth is the speed at which waves propagate through water depths where the effects of the seabed are significant, often resulting in reduced wave speed.
Shallow Depth - (Measured in Meter) - Shallow Depth refers to a limited vertical distance from the water surface to the seabed.
STEP 1: Convert Input(s) to Base Unit
Shallow Depth: 0.8 Meter --> 0.8 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Cs = sqrt([g]*ds) --> sqrt([g]*0.8)
Evaluating ... ...
Cs = 2.80094983889394
STEP 3: Convert Result to Output's Unit
2.80094983889394 Meter per Second --> No Conversion Required
FINAL ANSWER
2.80094983889394 2.80095 Meter per Second <-- Celerity for Shallow Depth
(Calculation completed in 00.005 seconds)

Credits

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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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Wave Celerity Calculators

Wave Celerity given Wavelength and Water Depth
​ LaTeX ​ Go Deepwater Wave Celerity = sqrt(((DeepWater Wavelength*[g])/(2*pi))*tanh((2*pi*Water Depth)/DeepWater Wavelength))
Wave Celerity given Wave Period and Wavelength
​ LaTeX ​ Go Deepwater Wave Celerity = (([g]*Wave Period)/(2*pi))*tanh((2*pi*Water Depth)/DeepWater Wavelength)
Wave Celerity given Wavelength and Wave Period
​ LaTeX ​ Go Deepwater Wave Celerity = DeepWater Wavelength/Wave Period
Deepwater Wave Celerity
​ LaTeX ​ Go Deepwater Wave Celerity = DeepWater Wavelength/Wave Period

Wave Celerity when Relative Water Depth becomes Shallow Formula

​LaTeX ​Go
Celerity for Shallow Depth = sqrt([g]*Shallow Depth)
Cs = sqrt([g]*ds)

What is Wavelength?

Wavelength is the distance between identical points (adjacent crests) in the adjacent cycles of a waveform signal propagated in space.

How to Calculate Wave Celerity when Relative Water Depth becomes Shallow?

Wave Celerity when Relative Water Depth becomes Shallow calculator uses Celerity for Shallow Depth = sqrt([g]*Shallow Depth) to calculate the Celerity for Shallow Depth, The Wave Celerity when Relative Water Depth becomes Shallow formula is defined as the speed at which individual wave advances or “propagates", for Deepwater, wave celerity is directly proportional to wave period. Celerity for Shallow Depth is denoted by Cs symbol.

How to calculate Wave Celerity when Relative Water Depth becomes Shallow using this online calculator? To use this online calculator for Wave Celerity when Relative Water Depth becomes Shallow, enter Shallow Depth (ds) and hit the calculate button. Here is how the Wave Celerity when Relative Water Depth becomes Shallow calculation can be explained with given input values -> 2.80095 = sqrt([g]*0.8).

FAQ

What is Wave Celerity when Relative Water Depth becomes Shallow?
The Wave Celerity when Relative Water Depth becomes Shallow formula is defined as the speed at which individual wave advances or “propagates", for Deepwater, wave celerity is directly proportional to wave period and is represented as Cs = sqrt([g]*ds) or Celerity for Shallow Depth = sqrt([g]*Shallow Depth). Shallow Depth refers to a limited vertical distance from the water surface to the seabed.
How to calculate Wave Celerity when Relative Water Depth becomes Shallow?
The Wave Celerity when Relative Water Depth becomes Shallow formula is defined as the speed at which individual wave advances or “propagates", for Deepwater, wave celerity is directly proportional to wave period is calculated using Celerity for Shallow Depth = sqrt([g]*Shallow Depth). To calculate Wave Celerity when Relative Water Depth becomes Shallow, you need Shallow Depth (ds). With our tool, you need to enter the respective value for Shallow Depth 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 Celerity for Shallow Depth?
In this formula, Celerity for Shallow Depth uses Shallow Depth. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • Celerity for Shallow Depth = (Deepwater Wave Celerity*Wavelength for Shallow Depth)/DeepWater Wavelength
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