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Radiation Stress Component Formula

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Radiation Stress Component is the momentum transferred through the water body per unit of time (the flux of momentum) by wave orbital motion. Check FAQs

S xy = (\frac{n}{8}) \cdot ρ \cdot [g] \cdot (H^{2}) \cdot \cos (α) \cdot \sin (α)

S_xy - Radiation Stress Component?n - Ratio of Wave Group Speed and Phase Speed?ρ - Mass Density?H - Wave Height?α - Wave Crest Angle?[g] - Gravitational acceleration on Earth?

Radiation Stress Component Example

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Here is how the Radiation Stress Component equation looks like with Values.

Here is how the Radiation Stress Component equation looks like with Units.

Here is how the Radiation Stress Component equation looks like.

13.4894 = (\frac{0.05}{8}) \cdot 997 \cdot 9.8066 \cdot ({0.714}^{2}) \cdot \cos (60) \cdot \sin (60)

13.4894 = (\frac{0.05}{8}) \cdot 997kg/m³ \cdot 9.8066m/s² \cdot ({0.714m}^{2}) \cdot \cos (60°) \cdot \sin (60°)

13.4894 = (\frac{0.05}{8}) \cdot 997 \cdot 9.8066 \cdot ({0.714}^{2}) \cdot \cos (60) \cdot \sin (60)

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Radiation Stress Component Solution

Follow our step by step solution on how to calculate Radiation Stress Component?

FIRST Step Consider the formula

S xy = (\frac{n}{8}) \cdot ρ \cdot [g] \cdot (H^{2}) \cdot \cos (α) \cdot \sin (α)

Next Step Substitute values of Variables

∴

S xy = (\frac{0.05}{8}) \cdot 997kg/m³ \cdot [g] \cdot ({0.714m}^{2}) \cdot \cos (60°) \cdot \sin (60°)

Next Step Substitute values of Constants

∴

S xy = (\frac{0.05}{8}) \cdot 997kg/m³ \cdot 9.8066m/s² \cdot ({0.714m}^{2}) \cdot \cos (60°) \cdot \sin (60°)

Next Step Convert Units

∴

S xy = (\frac{0.05}{8}) \cdot 997kg/m³ \cdot 9.8066m/s² \cdot ({0.714m}^{2}) \cdot \cos (1.0472rad) \cdot \sin (1.0472rad)

Next Step Prepare to Evaluate

∴

S xy = (\frac{0.05}{8}) \cdot 997 \cdot 9.8066 \cdot ({0.714}^{2}) \cdot \cos (1.0472) \cdot \sin (1.0472)

Next Step Evaluate

∴

S xy = 13.489408630481

LAST Step Rounding Answer

∴

S xy = 13.4894

Radiation Stress Component Formula Elements

Variables

Constants

Functions

Radiation Stress Component

Radiation Stress Component is the momentum transferred through the water body per unit of time (the flux of momentum) by wave orbital motion.

Symbol: S_xy

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Radiation Stress Component

Ratio of Wave Group Speed and Phase Speed

Ratio of Wave Group Speed and Phase Speed is ratio of the group speed (cg) the speed with which the energy of the waves moves, while the phase speed (c) the velocity of a wave crest.

Symbol: n

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Ratio of Wave Group Speed and Phase Speed

Mass Density

Mass Density is a physical quantity that represents the mass of a substance per unit volume.

Symbol: ρ

Measurement: Mass ConcentrationUnit: kg/m³

Note: Value should be greater than 0.

Formulas to find Mass Density

Wave Height

Wave Height of a surface wave is the difference between the elevations of a crest and a neighbouring trough.

Symbol: H

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Wave Height

Wave Crest Angle

Wave Crest Angle is the angle at which the crest of a wave approaches or intersects with another medium, such as the shoreline or another wave.

Symbol: α

Measurement: AngleUnit: °

Note: Value should be greater than 0.

Formulas to find Wave Crest Angle

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

sin

Sine is a trigonometric function that describes the ratio of the length of the opposite side of a right triangle to the length of the hypotenuse.

Syntax: sin(Angle)

cos

Cosine of an angle is the ratio of the side adjacent to the angle to the hypotenuse of the triangle.

Syntax: cos(Angle)

Other formulas in Longshore Current category

Go Ratio of Wave Group Speed and Phase Speed

n = \frac{S xy \cdot 8}{ρ \cdot [g] \cdot H^{2} \cdot \cos (α) \cdot \sin (α)}

Go Wave Height given Radiation Stress Component

H = \sqrt{\frac{S xy \cdot 8}{ρ} \cdot [g] \cdot \cos (α) \cdot \sin (α)}

Go Longshore Current Speed

V = (5 \cdot \frac{π}{16}) \cdot \tan (β *) \cdot γ b \cdot \sqrt{[g] \cdot D} \cdot \sin (α) \cdot \frac{\cos (α)}{C f}

Go Beach Slope Modified for Wave Setup

β * = a \tan (\frac{\tan (β)}{1 + (3 \cdot \frac{{γ b}^{2}}{8})})

How to Evaluate Radiation Stress Component?

Radiation Stress Component evaluator uses Radiation Stress Component = (Ratio of Wave Group Speed and Phase Speed/8)*Mass Density*[g]*(Wave Height^2)*cos(Wave Crest Angle)*sin(Wave Crest Angle) to evaluate the Radiation Stress Component, The Radiation Stress Component formula is defined as the transport of x-momentum in the y-direction which acts as a shear stress on the plane, directed in the x-direction, and works on the plane normal to the y-direction. Radiation Stress Component is denoted by S_xy symbol.

How to evaluate Radiation Stress Component using this online evaluator? To use this online evaluator for Radiation Stress Component, enter Ratio of Wave Group Speed and Phase Speed (n), Mass Density (ρ), Wave Height (H) & Wave Crest Angle (α) and hit the calculate button.

FAQs on Radiation Stress Component

What is the formula to find Radiation Stress Component?

The formula of Radiation Stress Component is expressed as Radiation Stress Component = (Ratio of Wave Group Speed and Phase Speed/8)*Mass Density*[g]*(Wave Height^2)*cos(Wave Crest Angle)*sin(Wave Crest Angle). Here is an example- 0.269788 = (0.05/8)*997*[g]*(0.714^2)*cos(1.0471975511964)*sin(1.0471975511964).

How to calculate Radiation Stress Component?

With Ratio of Wave Group Speed and Phase Speed (n), Mass Density (ρ), Wave Height (H) & Wave Crest Angle (α) we can find Radiation Stress Component using the formula - Radiation Stress Component = (Ratio of Wave Group Speed and Phase Speed/8)*Mass Density*[g]*(Wave Height^2)*cos(Wave Crest Angle)*sin(Wave Crest Angle). This formula also uses Gravitational acceleration on Earth constant(s) and , Sine (sin), Cosine (cos) function(s).

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Radiation Stress Component Formula

Radiation Stress Component Example

Radiation Stress Component Solution

Radiation Stress Component Formula Elements

Other formulas in Longshore Current category

How to Evaluate Radiation Stress Component?

FAQs on Radiation Stress Component

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