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Deepwater Wavelength Formula

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Deep Water Wavelength refers to the distance between successive wave crests (or troughs) in deep water, where the water depth is greater than half the wavelength. Check FAQs

λ o = \frac{Vg deep \cdot P}{0.5}

λ_o - Deep Water Wavelength?Vg_deep - Group Velocity for Deep Water?P - Wave Period?

Deepwater Wavelength Example

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Here is how the Deepwater Wavelength equation looks like with Values.

Here is how the Deepwater Wavelength equation looks like with Units.

Here is how the Deepwater Wavelength equation looks like.

0.342 = \frac{0.166 \cdot 1.03}{0.5}

0.342m = \frac{0.166m/s \cdot 1.03}{0.5}

0.342 = \frac{0.166 \cdot 1.03}{0.5}

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Deepwater Wavelength Solution

Follow our step by step solution on how to calculate Deepwater Wavelength?

FIRST Step Consider the formula

λ o = \frac{Vg deep \cdot P}{0.5}

Next Step Substitute values of Variables

∴

λ o = \frac{0.166m/s \cdot 1.03}{0.5}

Next Step Prepare to Evaluate

∴

λ o = \frac{0.166 \cdot 1.03}{0.5}

Next Step Evaluate

∴

λ o = 0.34196m

LAST Step Rounding Answer

∴

λ o = 0.342m

Deepwater Wavelength Formula Elements

Variables

Deep Water Wavelength

Deep Water Wavelength refers to the distance between successive wave crests (or troughs) in deep water, where the water depth is greater than half the wavelength.

Symbol: λ_o

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Deep Water Wavelength

Group Velocity for Deep Water

Group Velocity for Deep Water is the speed at which a group of waves travels through deep water, crucial for understanding how energy and momentum are transferred within wave groups.

Symbol: Vg_deep

Measurement: SpeedUnit: m/s

Note: Value can be positive or negative.

Formulas to find Group Velocity for Deep Water

Wave Period

Wave Period is the time it takes for one complete wave cycle to pass a fixed point. It affects wave energy, with longer periods indicating more energy and potential for erosion.

Symbol: P

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Wave Period

Other formulas in Group Velocity category

Go Group Velocity of Wave given Wavelength and Wave Period

Vg shallow = 0.5 \cdot (\frac{λ}{P}) \cdot (1 + \frac{4 \cdot π \cdot \frac{d}{λ}}{\sinh (4 \cdot π \cdot \frac{d}{λ})})

Go Group Velocity for Deepwater

Vg deep = 0.5 \cdot (\frac{λ o}{P sz})

Go Deepwater Celerity

C o = \frac{Vg deep}{0.5}

Go Group Velocity given Deepwater Celerity

Vg deep = 0.5 \cdot C o

How to Evaluate Deepwater Wavelength?

Deepwater Wavelength evaluator uses Deep Water Wavelength = (Group Velocity for Deep Water*Wave Period)/0.5 to evaluate the Deep Water Wavelength, The Deepwater Wavelength Formula is defined as the distance between successive crests (or troughs) of a wave when it is traveling in deep water, where the depth is greater than half the wavelength, understanding the deep-water wavelength is crucial for predicting how waves will behave as they approach the shore and interact with the seabed. Deep Water Wavelength is denoted by λ_o symbol.

How to evaluate Deepwater Wavelength using this online evaluator? To use this online evaluator for Deepwater Wavelength, enter Group Velocity for Deep Water (Vg_deep) & Wave Period (P) and hit the calculate button.

FAQs on Deepwater Wavelength

What is the formula to find Deepwater Wavelength?

The formula of Deepwater Wavelength is expressed as Deep Water Wavelength = (Group Velocity for Deep Water*Wave Period)/0.5. Here is an example- 0.34196 = (0.166*1.03)/0.5.

How to calculate Deepwater Wavelength?

With Group Velocity for Deep Water (Vg_deep) & Wave Period (P) we can find Deepwater Wavelength using the formula - Deep Water Wavelength = (Group Velocity for Deep Water*Wave Period)/0.5.

Can the Deepwater Wavelength be negative?

No, the Deepwater Wavelength, measured in Length cannot be negative.

Which unit is used to measure Deepwater Wavelength?

Deepwater Wavelength is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Deepwater Wavelength can be measured.

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