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Relative Wavelength Formula

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Relative Wavelength is the relative distance between corresponding points of two consecutive waves. Check FAQs

λ r = \frac{λ o}{d}

λ_r - Relative Wavelength?λ_o - Deep-Water Wavelength?d - Coastal Mean Depth?

Relative Wavelength Example

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With units

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

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

Here is how the Relative Wavelength equation looks like.

0.7 = \frac{7}{10}

0.7m = \frac{7m}{10m}

0.7 = \frac{7}{10}

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Relative Wavelength Solution

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

FIRST Step Consider the formula

λ r = \frac{λ o}{d}

Next Step Substitute values of Variables

∴

λ r = \frac{7m}{10m}

Next Step Prepare to Evaluate

∴

λ r = \frac{7}{10}

LAST Step Evaluate

∴

λ r = 0.7m

Relative Wavelength Formula Elements

Variables

Relative Wavelength

Relative Wavelength is the relative distance between corresponding points of two consecutive waves.

Symbol: λ_r

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Relative Wavelength

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

Coastal Mean Depth

Coastal Mean Depth of a fluid flow is a measure of the average depth of the fluid in a channel, pipe, or other conduit through which the fluid is flowing.

Symbol: d

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Coastal Mean Depth

Other formulas in Linear Dispersion Relation of Linear Wave category

Go Velocity of Propagation in Linear Dispersion Relation

C v = \sqrt{\frac{[g] \cdot d \cdot \tanh (k \cdot d)}{k \cdot d}}

Go Wavelength given Wave Number

λ'' = \frac{2 \cdot π}{k}

Go Velocity of Propagation in Linear Dispersion Relation given Wavelength

C v = \sqrt{\frac{[g] \cdot d \cdot \tanh (2 \cdot π \cdot \frac{d}{λ''})}{2 \cdot π \cdot \frac{d}{λ''}}}

Go Dimensionless Wave Speed

v = \frac{v p'}{\sqrt{[g] \cdot d}}

How to Evaluate Relative Wavelength?

Relative Wavelength evaluator uses Relative Wavelength = Deep-Water Wavelength/Coastal Mean Depth to evaluate the Relative Wavelength, The Relative Wavelength is defined as how fast the wave travels and is determined by the properties of the medium in which the wave is moving. Relative Wavelength is denoted by λ_r symbol.

How to evaluate Relative Wavelength using this online evaluator? To use this online evaluator for Relative Wavelength, enter Deep-Water Wavelength (λ_o) & Coastal Mean Depth (d) and hit the calculate button.

FAQs on Relative Wavelength

What is the formula to find Relative Wavelength?

The formula of Relative Wavelength is expressed as Relative Wavelength = Deep-Water Wavelength/Coastal Mean Depth. Here is an example- 0.7 = 7/10.

How to calculate Relative Wavelength?

With Deep-Water Wavelength (λ_o) & Coastal Mean Depth (d) we can find Relative Wavelength using the formula - Relative Wavelength = Deep-Water Wavelength/Coastal Mean Depth.

Can the Relative Wavelength be negative?

Yes, the Relative Wavelength, measured in Length can be negative.

Which unit is used to measure Relative Wavelength?

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

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Relative Wavelength Formula

Relative Wavelength Example

Relative Wavelength Solution

Relative Wavelength Formula Elements

Other formulas in Linear Dispersion Relation of Linear Wave category

How to Evaluate Relative Wavelength?

FAQs on Relative Wavelength

Variable Name