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Wave Height given Radiation Stress Component Formula

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

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

H - Wave Height?S_xy - Radiation Stress Component?ρ - Mass Density?α - Wave Crest Angle?[g] - Gravitational acceleration on Earth?

Wave Height given Radiation Stress Component Example

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

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

Here is how the Wave Height given Radiation Stress Component equation looks like.

0.7149 = \sqrt{\frac{15 \cdot 8}{997} \cdot 9.8066 \cdot \cos (60) \cdot \sin (60)}

0.7149m = \sqrt{\frac{15 \cdot 8}{997kg/m³} \cdot 9.8066m/s² \cdot \cos (60°) \cdot \sin (60°)}

0.7149 = \sqrt{\frac{15 \cdot 8}{997} \cdot 9.8066 \cdot \cos (60) \cdot \sin (60)}

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Wave Height given Radiation Stress Component Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

H = \sqrt{\frac{15 \cdot 8}{997kg/m³} \cdot [g] \cdot \cos (60°) \cdot \sin (60°)}

Next Step Substitute values of Constants

∴

H = \sqrt{\frac{15 \cdot 8}{997kg/m³} \cdot 9.8066m/s² \cdot \cos (60°) \cdot \sin (60°)}

Next Step Convert Units

∴

H = \sqrt{\frac{15 \cdot 8}{997kg/m³} \cdot 9.8066m/s² \cdot \cos (1.0472rad) \cdot \sin (1.0472rad)}

Next Step Prepare to Evaluate

∴

H = \sqrt{\frac{15 \cdot 8}{997} \cdot 9.8066 \cdot \cos (1.0472) \cdot \sin (1.0472)}

Next Step Evaluate

∴

H = 0.714913831816285m

LAST Step Rounding Answer

∴

H = 0.7149m

Wave Height given Radiation Stress Component Formula Elements

Variables

Constants

Functions

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

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

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 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)

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 in Longshore Current category

Go Radiation Stress Component

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

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 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 Wave Height given Radiation Stress Component?

Wave Height given Radiation Stress Component evaluator uses Wave Height = sqrt((Radiation Stress Component*8)/Mass Density*[g]*cos(Wave Crest Angle)*sin(Wave Crest Angle)) to evaluate the Wave Height, The Wave Height given Radiation Stress Component formula is defined as estimating the average wave height at the point of breaking, given the transport of x-momentum in the y-direction. Wave Height is denoted by H symbol.

How to evaluate Wave Height given Radiation Stress Component using this online evaluator? To use this online evaluator for Wave Height given Radiation Stress Component, enter Radiation Stress Component (S_xy), Mass Density (ρ) & Wave Crest Angle (α) and hit the calculate button.

FAQs on Wave Height given Radiation Stress Component

What is the formula to find Wave Height given Radiation Stress Component?

The formula of Wave Height given Radiation Stress Component is expressed as Wave Height = sqrt((Radiation Stress Component*8)/Mass Density*[g]*cos(Wave Crest Angle)*sin(Wave Crest Angle)). Here is an example- 0.094123 = sqrt((15*8)/997*[g]*cos(1.0471975511964)*sin(1.0471975511964)).

How to calculate Wave Height given Radiation Stress Component?

With Radiation Stress Component (S_xy), Mass Density (ρ) & Wave Crest Angle (α) we can find Wave Height given Radiation Stress Component using the formula - Wave Height = sqrt((Radiation Stress Component*8)/Mass Density*[g]*cos(Wave Crest Angle)*sin(Wave Crest Angle)). This formula also uses Gravitational acceleration on Earth constant(s) and , Sine (sin), Cosine (cos), Square Root (sqrt) function(s).

Can the Wave Height given Radiation Stress Component be negative?

No, the Wave Height given Radiation Stress Component, measured in Length cannot be negative.

Which unit is used to measure Wave Height given Radiation Stress Component?

Wave Height given Radiation Stress Component is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Wave Height given Radiation Stress Component can be measured.

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Wave Height given Radiation Stress Component Formula

Wave Height given Radiation Stress Component Example

Wave Height given Radiation Stress Component Solution

Wave Height given Radiation Stress Component Formula Elements

Other formulas in Longshore Current category

How to Evaluate Wave Height given Radiation Stress Component?

FAQs on Wave Height given Radiation Stress Component

Variable Name