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Deepwater Wavelength given Wave Breaking and Wave Height at Breaking Point Formula

GoWave Length for Reduced Shoaling Coefficient in Shallow Water Formula

GoDeepwater Wavelength for Shoaling Coefficient in Shallow Water Formula

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Deep-Water Wavelength is the horizontal distance between two successive crests (or troughs) of the wave. Check FAQs

λ o = \frac{ξ^{2} \cdot H w}{β^{2}}

λ_o - Deep-Water Wavelength?ξ - Breaking Wave?H_w - Wave Height for Surface Gravity Waves?β - Beach Slope?

Deepwater Wavelength given Wave Breaking and Wave Height at Breaking Point Example

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Here is how the Deepwater Wavelength given Wave Breaking and Wave Height at Breaking Point equation looks like with Values.

Here is how the Deepwater Wavelength given Wave Breaking and Wave Height at Breaking Point equation looks like with Units.

Here is how the Deepwater Wavelength given Wave Breaking and Wave Height at Breaking Point equation looks like.

6.9921 = \frac{{0.229}^{2} \cdot 3}{{0.15}^{2}}

6.9921m = \frac{{0.229}^{2} \cdot 3m}{{0.15rad}^{2}}

6.9921 = \frac{{0.229}^{2} \cdot 3}{{0.15}^{2}}

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Deepwater Wavelength given Wave Breaking and Wave Height at Breaking Point Solution

Follow our step by step solution on how to calculate Deepwater Wavelength given Wave Breaking and Wave Height at Breaking Point?

FIRST Step Consider the formula

λ o = \frac{ξ^{2} \cdot H w}{β^{2}}

Next Step Substitute values of Variables

∴

λ o = \frac{{0.229}^{2} \cdot 3m}{{0.15rad}^{2}}

Next Step Prepare to Evaluate

∴

λ o = \frac{{0.229}^{2} \cdot 3}{{0.15}^{2}}

Next Step Evaluate

∴

λ o = 6.99213333333333m

LAST Step Rounding Answer

∴

λ o = 6.9921m

Deepwater Wavelength given Wave Breaking and Wave Height at Breaking Point Formula Elements

Variables

Deep-Water Wavelength

Deep-Water Wavelength is the horizontal distance between two successive crests (or troughs) of the wave.

Symbol: λ_o

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Deep-Water Wavelength

Breaking Wave

Breaking Wave or breaker is a wave whose amplitude reaches a critical level at which some process can suddenly start to occur.

Symbol: ξ

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Breaking Wave

Wave Height for Surface Gravity Waves

The Wave Height for Surface Gravity Waves refers to the vertical distance between the trough (bottom) and crest (top) of a wave, measured from sea level.

Symbol: H_w

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Wave Height for Surface Gravity Waves

Beach Slope

Beach Slope refers to the incline or gradient of the shoreline, determining the rate at which the beach elevation changes horizontally with distance from the water.

Symbol: β

Measurement: AngleUnit: rad

Note: Value should be greater than 0.

Formulas to find Beach Slope

Other Formulas to find Deep-Water Wavelength

Go Wave Length for Reduced Shoaling Coefficient in Shallow Water

λ o = d w \cdot {(\frac{K s}{0.2821})}^{2}

Go Deepwater Wavelength for Shoaling Coefficient in Shallow Water

λ o = {(\frac{K s}{0.4466})}^{4} \cdot d w

Other formulas in Shoaling, Refraction and Breaking category

Go Shoaling Coefficient

K s = {(\tanh (k \cdot d) \cdot (1 + (2 \cdot k \cdot \frac{d}{\sinh (2 \cdot k \cdot d)})))}^{- 0.5}

Go Refraction Coefficient

K r = \sqrt{\frac{b 0}{b}}

Go Distance between Two Rays at General Point

b = \frac{b 0}{{K r}^{2}}

Go Deepwater Wave Height for Shoaling Coefficient and Refraction Coefficient

H o = \frac{H w}{K s \cdot K r}

How to Evaluate Deepwater Wavelength given Wave Breaking and Wave Height at Breaking Point?

Deepwater Wavelength given Wave Breaking and Wave Height at Breaking Point evaluator uses Deep-Water Wavelength = (Breaking Wave^2*Wave Height for Surface Gravity Waves)/Beach Slope^2 to evaluate the Deep-Water Wavelength, The Deepwater Wavelength given Wave Breaking and Wave Height at Breaking Point is defined as the distance between any two corresponding points on successive wave crests or troughs. Deep-Water Wavelength is denoted by λ_o symbol.

How to evaluate Deepwater Wavelength given Wave Breaking and Wave Height at Breaking Point using this online evaluator? To use this online evaluator for Deepwater Wavelength given Wave Breaking and Wave Height at Breaking Point, enter Breaking Wave (ξ), Wave Height for Surface Gravity Waves (H_w) & Beach Slope (β) and hit the calculate button.

FAQs on Deepwater Wavelength given Wave Breaking and Wave Height at Breaking Point

What is the formula to find Deepwater Wavelength given Wave Breaking and Wave Height at Breaking Point?

The formula of Deepwater Wavelength given Wave Breaking and Wave Height at Breaking Point is expressed as Deep-Water Wavelength = (Breaking Wave^2*Wave Height for Surface Gravity Waves)/Beach Slope^2. Here is an example- 5.333333 = (0.229^2*3)/0.15^2.

How to calculate Deepwater Wavelength given Wave Breaking and Wave Height at Breaking Point?

With Breaking Wave (ξ), Wave Height for Surface Gravity Waves (H_w) & Beach Slope (β) we can find Deepwater Wavelength given Wave Breaking and Wave Height at Breaking Point using the formula - Deep-Water Wavelength = (Breaking Wave^2*Wave Height for Surface Gravity Waves)/Beach Slope^2.

What are the other ways to Calculate Deep-Water Wavelength?

Here are the different ways to Calculate Deep-Water Wavelength-

Deep-Water Wavelength=Water Depth in Ocean*(Shoaling Coefficient/0.2821)^2
Deep-Water Wavelength=(Shoaling Coefficient/0.4466)^4*Water Depth in Ocean

Can the Deepwater Wavelength given Wave Breaking and Wave Height at Breaking Point be negative?

No, the Deepwater Wavelength given Wave Breaking and Wave Height at Breaking Point, measured in Length cannot be negative.

Which unit is used to measure Deepwater Wavelength given Wave Breaking and Wave Height at Breaking Point?

Deepwater Wavelength given Wave Breaking and Wave Height at Breaking Point is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Deepwater Wavelength given Wave Breaking and Wave Height at Breaking Point can be measured.

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Deepwater Wavelength given Wave Breaking and Wave Height at Breaking Point Formula

​GoWave Length for Reduced Shoaling Coefficient in Shallow Water Formula

​GoDeepwater Wavelength for Shoaling Coefficient in Shallow Water Formula

Deepwater Wavelength given Wave Breaking and Wave Height at Breaking Point Example

Deepwater Wavelength given Wave Breaking and Wave Height at Breaking Point Solution

Deepwater Wavelength given Wave Breaking and Wave Height at Breaking Point Formula Elements

Other Formulas to find Deep-Water Wavelength

Other formulas in Shoaling, Refraction and Breaking category

How to Evaluate Deepwater Wavelength given Wave Breaking and Wave Height at Breaking Point?

FAQs on Deepwater Wavelength given Wave Breaking and Wave Height at Breaking Point

Variable Name

GoWave Length for Reduced Shoaling Coefficient in Shallow Water Formula

GoDeepwater Wavelength for Shoaling Coefficient in Shallow Water Formula