Celerity of Wave given Deepwater Celerity Solution

STEP 0: Pre-Calculation Summary
Formula Used
Celerity of the Wave = Deepwater Wave Celerity*tanh(Wave Number*(Water Depth))
C = Co*tanh(k*(d))
This formula uses 1 Functions, 4 Variables
Functions Used
tanh - The hyperbolic tangent function (tanh) is a function that is defined as the ratio of the hyperbolic sine function (sinh) to the hyperbolic cosine function (cosh)., tanh(Number)
Variables Used
Celerity of the Wave - (Measured in Meter per Second) - Celerity of the Wave is the addition to the normal water velocity of the channels.
Deepwater Wave Celerity - (Measured in Meter per Second) - Deepwater Wave Celerity is the speed at which an individual wave advances or propagates occurring or existing in water of great depth.
Wave Number - Wave Number is the spatial frequency of a wave, measured in cycles per unit distance or radians per unit distance.
Water Depth - (Measured in Meter) - Water Depth of the considered catchment. Water depth means the depth as measured from the water level to the bottom of the considered water body.
STEP 1: Convert Input(s) to Base Unit
Deepwater Wave Celerity: 4.5 Meter per Second --> 4.5 Meter per Second No Conversion Required
Wave Number: 0.2 --> No Conversion Required
Water Depth: 1.05 Meter --> 1.05 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
C = Co*tanh(k*(d)) --> 4.5*tanh(0.2*(1.05))
Evaluating ... ...
C = 0.931349248782537
STEP 3: Convert Result to Output's Unit
0.931349248782537 Meter per Second --> No Conversion Required
FINAL ANSWER
0.931349248782537 0.931349 Meter per Second <-- Celerity of the Wave
(Calculation completed in 00.004 seconds)

Credits

Created by Mithila Muthamma PA
Coorg Institute of Technology (CIT), Coorg
Mithila Muthamma PA has created this Calculator and 2000+ more calculators!
Verified by Chandana P Dev
NSS College of Engineering (NSSCE), Palakkad
Chandana P Dev has verified this Calculator and 1700+ more calculators!

13 Wave Celerity Calculators

Wave Celerity given Wavelength and Water Depth
Go Celerity of the Wave = sqrt((Wavelength*[g]/2*pi)*tanh(2*pi*Water Depth/Wavelength))
Wave Celerity given Wave Period and Wavelength
Go Celerity of the Wave = ([g]*Wave Period/2*pi)*tanh(2*pi*Water Depth/Wavelength)
Celerity of Wave given Deepwater Celerity
Go Celerity of the Wave = Deepwater Wave Celerity*tanh(Wave Number*(Water Depth))
Celerity of Deepwater Wave
Go Celerity of the Wave = sqrt(([g]*Deep-Water Wavelength)/2*pi)
Celerity of Wave given Deepwater Celerity and Wavelength
Go Celerity of The Wave = (Deepwater Wave Celerity*Wavelength of Wave)/Deep-Water Wavelength
Deepwater Celerity for Deepwater wavelength
Go Deepwater Wave Celerity = (Celerity of The Wave*Deep-Water Wavelength)/Wavelength of Wave
Deepwater Celerity given Wave Period
Go Celerity of the Wave = ([g]*Wave Period)/(2*pi)
Wave Celerity when Relative Water Depth becomes Shallow
Go Celerity of the Wave = sqrt([g]*Water Depth)
Long Wave simplification for Wave Celerity
Go Celerity of the Wave = sqrt([g]*Water Depth)
Deepwater Wave Celerity
Go Celerity of the Wave = Deep-Water Wavelength/Wave Period
Wave Celerity given Wavelength and Wave Period
Go Celerity of The Wave = Wavelength/Wave Period
Deepwater Celerity when SI systems Units of meters and seconds is considered
Go Celerity of the Wave = 1.56*Wave Period
Deepwater Celerity given Units of Feet and Seconds
Go Celerity of the Wave = 5.12*Wave Period

Celerity of Wave given Deepwater Celerity Formula

Celerity of the Wave = Deepwater Wave Celerity*tanh(Wave Number*(Water Depth))
C = Co*tanh(k*(d))

How does depth affect wavelength?

The change from deep to shallow water waves occurs when the depth of the water, d, becomes less than one half of the wavelength of the wave, λ. The speed of deep-water waves depends on the wavelength of the waves. We say that deep-water waves show dispersion. A wave with a longer wavelength travels at higher speed.

How to Calculate Celerity of Wave given Deepwater Celerity?

Celerity of Wave given Deepwater Celerity calculator uses Celerity of the Wave = Deepwater Wave Celerity*tanh(Wave Number*(Water Depth)) to calculate the Celerity of the Wave, The Celerity of Wave given Deepwater Celerity is defined as the speed at which an individual wave advances or “propagates”. For a Deepwater wave, the celerity is directly proportional to the wave period. Celerity of the Wave is denoted by C symbol.

How to calculate Celerity of Wave given Deepwater Celerity using this online calculator? To use this online calculator for Celerity of Wave given Deepwater Celerity, enter Deepwater Wave Celerity (Co), Wave Number (k) & Water Depth (d) and hit the calculate button. Here is how the Celerity of Wave given Deepwater Celerity calculation can be explained with given input values -> 0.888189 = 4.5*tanh(0.2*(1.05)).

FAQ

What is Celerity of Wave given Deepwater Celerity?
The Celerity of Wave given Deepwater Celerity is defined as the speed at which an individual wave advances or “propagates”. For a Deepwater wave, the celerity is directly proportional to the wave period and is represented as C = Co*tanh(k*(d)) or Celerity of the Wave = Deepwater Wave Celerity*tanh(Wave Number*(Water Depth)). Deepwater Wave Celerity is the speed at which an individual wave advances or propagates occurring or existing in water of great depth, Wave Number is the spatial frequency of a wave, measured in cycles per unit distance or radians per unit distance & Water Depth of the considered catchment. Water depth means the depth as measured from the water level to the bottom of the considered water body.
How to calculate Celerity of Wave given Deepwater Celerity?
The Celerity of Wave given Deepwater Celerity is defined as the speed at which an individual wave advances or “propagates”. For a Deepwater wave, the celerity is directly proportional to the wave period is calculated using Celerity of the Wave = Deepwater Wave Celerity*tanh(Wave Number*(Water Depth)). To calculate Celerity of Wave given Deepwater Celerity, you need Deepwater Wave Celerity (Co), Wave Number (k) & Water Depth (d). With our tool, you need to enter the respective value for Deepwater Wave Celerity, Wave Number & Water 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 of the Wave?
In this formula, Celerity of the Wave uses Deepwater Wave Celerity, Wave Number & Water Depth. We can use 9 other way(s) to calculate the same, which is/are as follows -
  • Celerity of the Wave = sqrt((Wavelength*[g]/2*pi)*tanh(2*pi*Water Depth/Wavelength))
  • Celerity of the Wave = ([g]*Wave Period/2*pi)*tanh(2*pi*Water Depth/Wavelength)
  • Celerity of the Wave = Deep-Water Wavelength/Wave Period
  • Celerity of the Wave = sqrt(([g]*Deep-Water Wavelength)/2*pi)
  • Celerity of the Wave = ([g]*Wave Period)/(2*pi)
  • Celerity of the Wave = 1.56*Wave Period
  • Celerity of the Wave = 5.12*Wave Period
  • Celerity of the Wave = sqrt([g]*Water Depth)
  • Celerity of the Wave = sqrt([g]*Water Depth)
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