Wave Celerity given Wave Period and Wavelength Calculator

✖Wave Period is the time between successive peaks or troughs.ⓘ Wave Period [T]			+10% -10%
✖Water Depth of the considered catchment is the depth as measured from the water level to the bottom of the considered water body.ⓘ Water Depth [d]			+10% -10%
✖Deepwater Wavelength is the distance between two identical points on successive waves e.g., crest to crest or trough to trough.ⓘ DeepWater Wavelength [λ_o]			+10% -10%

✖Deepwater Wave Celerity is the speed at which an individual wave advances or propagates occurring or existing in water of great depth.ⓘ Wave Celerity given Wave Period and Wavelength [C_o]

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Wave Celerity given Wave Period and Wavelength Solution

STEP 0: Pre-Calculation Summary

Formula Used

Deepwater Wave Celerity = (([g]*Wave Period)/(2*pi))*tanh((2*pi*Water Depth)/DeepWater Wavelength)
C_o = (([g]*T)/(2*pi))*tanh((2*pi*d)/λ_o)
This formula uses 2 Constants, 1 Functions, 4 Variables

Constants Used

[g] - Gravitational acceleration on Earth Value Taken As 9.80665
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

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

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 Period - (Measured in Second) - Wave Period is the time between successive peaks or troughs.
Water Depth - (Measured in Meter) - Water Depth of the considered catchment is the depth as measured from the water level to the bottom of the considered water body.
DeepWater Wavelength - (Measured in Meter) - Deepwater Wavelength is the distance between two identical points on successive waves e.g., crest to crest or trough to trough.

STEP 1: Convert Input(s) to Base Unit

Wave Period: 3 Second --> 3 Second No Conversion Required
Water Depth: 4.8 Meter --> 4.8 Meter No Conversion Required
DeepWater Wavelength: 13 Meter --> 13 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

C_o = (([g]*T)/(2*pi))*tanh((2*pi*d)/λ_o) --> (([g]*3)/(2*pi))*tanh((2*pi*4.8)/13)

Evaluating ... ...

C_o = 4.59274480335383

STEP 3: Convert Result to Output's Unit

4.59274480335383 Meter per Second --> No Conversion Required

FINAL ANSWER

4.59274480335383 ≈ 4.592745 Meter per Second <-- Deepwater Wave Celerity

(Calculation completed in 00.020 seconds)

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Created by Mithila Muthamma PA

Coorg Institute of Technology (CIT), Coorg

Mithila Muthamma PA has created this Calculator and 2000+ more calculators!

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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 given Wave Period and Wavelength Formula

LaTeX Go

Deepwater Wave Celerity = (([g]*Wave Period)/(2*pi))*tanh((2*pi*Water Depth)/DeepWater Wavelength)
C_o = (([g]*T)/(2*pi))*tanh((2*pi*d)/λ_o)

What are Water Waves ?

Water waves are oscillations on the surface of bodies of water caused by the transfer of energy from wind or other sources.

How to Calculate Wave Celerity given Wave Period and Wavelength?

Wave Celerity given Wave Period and Wavelength calculator uses Deepwater Wave Celerity = (([g]*Wave Period)/(2*pi))*tanh((2*pi*Water Depth)/DeepWater Wavelength) to calculate the Deepwater Wave Celerity, The Wave Celerity given Wave Period and Wavelength formula is defined as the speed at which individual wave advances or “propagates” . Deepwater wave celerity is directly proportional to wave period, T. Deepwater Wave Celerity is denoted by C_o symbol.

How to calculate Wave Celerity given Wave Period and Wavelength using this online calculator? To use this online calculator for Wave Celerity given Wave Period and Wavelength, enter Wave Period (T), Water Depth (d) & DeepWater Wavelength (λ_o) and hit the calculate button. Here is how the Wave Celerity given Wave Period and Wavelength calculation can be explained with given input values -> 2.191264 = (([g]*3)/(2*pi))*tanh((2*pi*4.8)/13).

FAQ

What is Wave Celerity given Wave Period and Wavelength?

The Wave Celerity given Wave Period and Wavelength formula is defined as the speed at which individual wave advances or “propagates” . Deepwater wave celerity is directly proportional to wave period, T and is represented as C_o = (([g]*T)/(2*pi))*tanh((2*pi*d)/λ_o) or Deepwater Wave Celerity = (([g]*Wave Period)/(2*pi))*tanh((2*pi*Water Depth)/DeepWater Wavelength). Wave Period is the time between successive peaks or troughs, Water Depth of the considered catchment is the depth as measured from the water level to the bottom of the considered water body & Deepwater Wavelength is the distance between two identical points on successive waves e.g., crest to crest or trough to trough.

How to calculate Wave Celerity given Wave Period and Wavelength?

The Wave Celerity given Wave Period and Wavelength formula is defined as the speed at which individual wave advances or “propagates” . Deepwater wave celerity is directly proportional to wave period, T is calculated using Deepwater Wave Celerity = (([g]*Wave Period)/(2*pi))*tanh((2*pi*Water Depth)/DeepWater Wavelength). To calculate Wave Celerity given Wave Period and Wavelength, you need Wave Period (T), Water Depth (d) & DeepWater Wavelength (λ_o). With our tool, you need to enter the respective value for Wave Period, Water Depth & DeepWater Wavelength 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 Deepwater Wave Celerity?

In this formula, Deepwater Wave Celerity uses Wave Period, Water Depth & DeepWater Wavelength. We can use 3 other way(s) to calculate the same, which is/are as follows -

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

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