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Refraction Coefficient Formula

GoRefraction Coefficient given Relative Change of Wave Height Formula

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Refraction Coefficient is a parameter used to describe how waves change direction as they propagate from deep water into shallower water near the coastline. Check FAQs

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

K_r - Refraction Coefficient?b₀ - Distance Between Two Rays at Deepwater?b - Distance Between Two Rays?

Refraction Coefficient Example

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Here is how the Refraction Coefficient equation looks like with Values.

Here is how the Refraction Coefficient equation looks like with Units.

Here is how the Refraction Coefficient equation looks like.

0.1 = \sqrt{\frac{100}{10000}}

0.1 = \sqrt{\frac{100m}{10000m}}

0.1 = \sqrt{\frac{100}{10000}}

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Refraction Coefficient Solution

Follow our step by step solution on how to calculate Refraction Coefficient?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

K r = \sqrt{\frac{100m}{10000m}}

Next Step Prepare to Evaluate

∴

K r = \sqrt{\frac{100}{10000}}

LAST Step Evaluate

∴

K r = 0.1

Refraction Coefficient Formula Elements

Variables

Functions

Refraction Coefficient

Refraction Coefficient is a parameter used to describe how waves change direction as they propagate from deep water into shallower water near the coastline.

Symbol: K_r

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Refraction Coefficient

Distance Between Two Rays at Deepwater

Distance Between Two Rays at Deepwater refers to the perpendicular distance between the two rays at a specific depth in a body of water.

Symbol: b₀

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Distance Between Two Rays at Deepwater

Distance Between Two Rays

Distance Between Two Rays refers to the separation between two parallel rays of wave energy or light rays in a medium, often water.

Symbol: b

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Distance Between Two Rays

sqrt

A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number.

Syntax: sqrt(Number)

Other Formulas to find Refraction Coefficient

Go Refraction Coefficient given Relative Change of Wave Height

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

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 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}

Go Wave Height given Shoaling Coefficient and Refraction Coefficient

H w = H o \cdot K s \cdot K r

How to Evaluate Refraction Coefficient?

Refraction Coefficient evaluator uses Refraction Coefficient = sqrt(Distance Between Two Rays at Deepwater/Distance Between Two Rays) to evaluate the Refraction Coefficient, The Refraction Coefficient is defined as the change in direction of a wave passing from one medium to another caused by its change in speed. For example, waves in deep water travel faster than in shallow. Refraction Coefficient is denoted by K_r symbol.

How to evaluate Refraction Coefficient using this online evaluator? To use this online evaluator for Refraction Coefficient, enter Distance Between Two Rays at Deepwater (b₀) & Distance Between Two Rays (b) and hit the calculate button.

FAQs on Refraction Coefficient

What is the formula to find Refraction Coefficient?

The formula of Refraction Coefficient is expressed as Refraction Coefficient = sqrt(Distance Between Two Rays at Deepwater/Distance Between Two Rays). Here is an example- 0.1 = sqrt(100/10000).

How to calculate Refraction Coefficient?

With Distance Between Two Rays at Deepwater (b₀) & Distance Between Two Rays (b) we can find Refraction Coefficient using the formula - Refraction Coefficient = sqrt(Distance Between Two Rays at Deepwater/Distance Between Two Rays). This formula also uses Square Root (sqrt) function(s).

What are the other ways to Calculate Refraction Coefficient?

Here are the different ways to Calculate Refraction Coefficient-

Refraction Coefficient=Wave Height for Surface Gravity Waves/(Wave Height in Deepwater*Shoaling Coefficient)

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Refraction Coefficient Formula

​GoRefraction Coefficient given Relative Change of Wave Height Formula

Refraction Coefficient Example

Refraction Coefficient Solution

Refraction Coefficient Formula Elements

Other Formulas to find Refraction Coefficient

Other formulas in Shoaling, Refraction and Breaking category

How to Evaluate Refraction Coefficient?

FAQs on Refraction Coefficient

Variable Name

GoRefraction Coefficient given Relative Change of Wave Height Formula