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Wave Period given Wave Celerity and Wavelength Formula

GoWave Period for Known Deepwater Celerity Formula

GoWave Period given Deepwater Celerity of SI systems Units of Meters and Seconds Formula

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Coastal Wave Period is the time between successive peaks or troughs of the coastal waves. Check FAQs

p = \frac{C \cdot 2 \cdot π}{[g] \cdot \tanh (2 \cdot π \cdot \frac{D}{λ})}

p - Coastal Wave Period?C - Celerity of the Wave?D - Water Depth?λ - Wavelength?[g] - Gravitational acceleration on Earth?π - Archimedes' constant?

Wave Period given Wave Celerity and Wavelength Example

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Here is how the Wave Period given Wave Celerity and Wavelength equation looks like with Values.

Here is how the Wave Period given Wave Celerity and Wavelength equation looks like with Units.

Here is how the Wave Period given Wave Celerity and Wavelength equation looks like.

18.9639 = \frac{10 \cdot 2 \cdot 3.1416}{9.8066 \cdot \tanh (2 \cdot 3.1416 \cdot \frac{1.5}{26.8})}

18.9639 = \frac{10m/s \cdot 2 \cdot 3.1416}{9.8066m/s² \cdot \tanh (2 \cdot 3.1416 \cdot \frac{1.5m}{26.8m})}

18.9639 = \frac{10 \cdot 2 \cdot 3.1416}{9.8066 \cdot \tanh (2 \cdot 3.1416 \cdot \frac{1.5}{26.8})}

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Wave Period given Wave Celerity and Wavelength Solution

Follow our step by step solution on how to calculate Wave Period given Wave Celerity and Wavelength?

FIRST Step Consider the formula

p = \frac{C \cdot 2 \cdot π}{[g] \cdot \tanh (2 \cdot π \cdot \frac{D}{λ})}

Next Step Substitute values of Variables

∴

p = \frac{10m/s \cdot 2 \cdot π}{[g] \cdot \tanh (2 \cdot π \cdot \frac{1.5m}{26.8m})}

Next Step Substitute values of Constants

∴

p = \frac{10m/s \cdot 2 \cdot 3.1416}{9.8066m/s² \cdot \tanh (2 \cdot 3.1416 \cdot \frac{1.5m}{26.8m})}

Next Step Prepare to Evaluate

∴

p = \frac{10 \cdot 2 \cdot 3.1416}{9.8066 \cdot \tanh (2 \cdot 3.1416 \cdot \frac{1.5}{26.8})}

Next Step Evaluate

∴

p = 18.963868738768

LAST Step Rounding Answer

∴

p = 18.9639

Wave Period given Wave Celerity and Wavelength Formula Elements

Variables

Constants

Functions

Coastal Wave Period

Coastal Wave Period is the time between successive peaks or troughs of the coastal waves.

Symbol: p

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Coastal Wave Period

Celerity of the Wave

Celerity of the Wave is the addition to the normal water velocity of the channels.

Symbol: C

Measurement: SpeedUnit: m/s

Note: Value can be positive or negative.

Formulas to find Celerity of the Wave

Water Depth

Water Depth means the depth as measured from the water level to the bottom of the considered water body.

Symbol: D

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Water Depth

Wavelength

Wavelength is the distance between two successive crests or troughs of a wave.

Symbol: λ

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Wavelength

Gravitational acceleration on Earth

Gravitational acceleration on Earth means that the velocity of an object in free fall will increase by 9.8 m/s2 every second.

Symbol: [g]

Value: 9.80665 m/s²

Archimedes' constant

Archimedes' constant is a mathematical constant that represents the ratio of the circumference of a circle to its diameter.

Symbol: π

Value: 3.14159265358979323846264338327950288

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).

Syntax: tanh(Number)

Other Formulas to find Coastal Wave Period

Go Wave Period for Known Deepwater Celerity

p = \frac{C \cdot 2 \cdot π}{[g]}

Go Wave Period given Deepwater Celerity of SI systems Units of Meters and Seconds

p = \frac{C}{1.56}

Go Wave Period for North Atlantic Ocean

p = 2.5 \cdot H

Go Wave Period for Mediterranean Sea

p = 4 + 2 \cdot {(H)}^{0.7}

Other formulas in Wave Period category

Go Wave Period given Radian Frequency of Wave

T = \frac{2 \cdot π}{ω}

Go Wave Period given Wave Celerity

T = \frac{λ}{C}

Go Wave period given wave depth and wavelength

P = \frac{λ \cdot ω}{[g]} \cdot \tanh (k \cdot D)

Go Wave Period given Deepwater Wavelength of SI Systems Units of Meters and Seconds

T = \sqrt{\frac{λ o}{1.56}}

How to Evaluate Wave Period given Wave Celerity and Wavelength?

Wave Period given Wave Celerity and Wavelength evaluator uses Coastal Wave Period = (Celerity of the Wave*2*pi)/([g]*tanh(2*pi*Water Depth/Wavelength)) to evaluate the Coastal Wave Period, The Wave Period given Wave Celerity and Wavelength formula is defined as time for particle on medium to make one complete vibrational cycle. Coastal Wave Period is denoted by p symbol.

How to evaluate Wave Period given Wave Celerity and Wavelength using this online evaluator? To use this online evaluator for Wave Period given Wave Celerity and Wavelength, enter Celerity of the Wave (C), Water Depth (D) & Wavelength (λ) and hit the calculate button.

FAQs on Wave Period given Wave Celerity and Wavelength

What is the formula to find Wave Period given Wave Celerity and Wavelength?

The formula of Wave Period given Wave Celerity and Wavelength is expressed as Coastal Wave Period = (Celerity of the Wave*2*pi)/([g]*tanh(2*pi*Water Depth/Wavelength)). Here is an example- 6.453368 = (10*2*pi)/([g]*tanh(2*pi*1.5/26.8)).

How to calculate Wave Period given Wave Celerity and Wavelength?

With Celerity of the Wave (C), Water Depth (D) & Wavelength (λ) we can find Wave Period given Wave Celerity and Wavelength using the formula - Coastal Wave Period = (Celerity of the Wave*2*pi)/([g]*tanh(2*pi*Water Depth/Wavelength)). This formula also uses Gravitational acceleration on Earth, Archimedes' constant and Hyperbolic Tangent (tanh) function(s).

What are the other ways to Calculate Coastal Wave Period?

Here are the different ways to Calculate Coastal Wave Period-

Coastal Wave Period=(Celerity of the Wave*2*pi)/[g]
Coastal Wave Period=Celerity of the Wave/1.56
Coastal Wave Period=2.5*Wave Height

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