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Wave Height given Cross-Shore Component Formula

GoWave Height given Mean Water Surface Elevation Set down for Regular Waves Formula

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

H = \sqrt{\frac{16 \cdot S xx'}{3 \cdot ρ water \cdot [g] \cdot d}}

H - Wave Height?S_xx' - Coastal Cross-Shore Component?ρ_water - Water Density?d - Water Depth?[g] - Gravitational acceleration on Earth?

Wave Height given Cross-Shore Component Example

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Here is how the Wave Height given Cross-Shore Component equation looks like with Values.

Here is how the Wave Height given Cross-Shore Component equation looks like with Units.

Here is how the Wave Height given Cross-Shore Component equation looks like.

3 = \sqrt{\frac{16 \cdot 17376}{3 \cdot 1000 \cdot 9.8066 \cdot 1.05}}

3m = \sqrt{\frac{16 \cdot 17376}{3 \cdot 1000kg/m³ \cdot 9.8066m/s² \cdot 1.05m}}

3 = \sqrt{\frac{16 \cdot 17376}{3 \cdot 1000 \cdot 9.8066 \cdot 1.05}}

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Wave Height given Cross-Shore Component Solution

Follow our step by step solution on how to calculate Wave Height given Cross-Shore Component?

FIRST Step Consider the formula

H = \sqrt{\frac{16 \cdot S xx'}{3 \cdot ρ water \cdot [g] \cdot d}}

Next Step Substitute values of Variables

∴

H = \sqrt{\frac{16 \cdot 17376}{3 \cdot 1000kg/m³ \cdot [g] \cdot 1.05m}}

Next Step Substitute values of Constants

∴

H = \sqrt{\frac{16 \cdot 17376}{3 \cdot 1000kg/m³ \cdot 9.8066m/s² \cdot 1.05m}}

Next Step Prepare to Evaluate

∴

H = \sqrt{\frac{16 \cdot 17376}{3 \cdot 1000 \cdot 9.8066 \cdot 1.05}}

Next Step Evaluate

∴

H = 2.9999863632879m

LAST Step Rounding Answer

∴

H = 3m

Wave Height given Cross-Shore 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 neighboring trough.

Symbol: H

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Wave Height

Coastal Cross-Shore Component

Coastal Cross-Shore Component refers to the cumulative movement of beach and nearshore sand perpendicular to the shore by the combined action of tides, wind and waves.

Symbol: S_xx'

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Coastal Cross-Shore Component

Water Density

Water Density is mass per unit of water.

Symbol: ρ_water

Measurement: DensityUnit: kg/m³

Note: Value should be greater than 0.

Formulas to find Water Density

Water Depth

Water Depth of the considered catchment is the depth as measured from the water level to the bottom of the considered water body.

Symbol: d

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Water Depth

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

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 Wave Height

Go Wave Height given Mean Water Surface Elevation Set down for Regular Waves

H = \sqrt{η' o \cdot 8 \cdot \frac{\sinh (4 \cdot π \cdot \frac{d}{λ})}{2 \cdot \frac{π}{λ}}}

Other formulas in Wave Setup category

Go Total Water Depth

H c = h + η'

Go Still Water Depth given Total Water Depth

h = H c - η'

Go Mean Water Surface Elevation given Total Water Depth

η' = H c - h

Go Set down for Regular Waves

η' o = (- \frac{1}{8}) \cdot (\frac{H^{2} \cdot (2 \cdot \frac{π}{λ})}{\sinh (4 \cdot π \cdot \frac{d}{λ})})

How to Evaluate Wave Height given Cross-Shore Component?

Wave Height given Cross-Shore Component evaluator uses Wave Height = sqrt((16*Coastal Cross-Shore Component)/(3*Water Density*[g]*Water Depth)) to evaluate the Wave Height, The Wave Height given Cross-Shore Component formula is defined as the difference between the elevations of a crest and a neighboring trough given the equilibrium state of forces acting in the cross-shore direction, which is perpendicular to the shoreline. Wave Height is denoted by H symbol.

How to evaluate Wave Height given Cross-Shore Component using this online evaluator? To use this online evaluator for Wave Height given Cross-Shore Component, enter Coastal Cross-Shore Component (S_xx'), Water Density (ρ_water) & Water Depth (d) and hit the calculate button.

FAQs on Wave Height given Cross-Shore Component

What is the formula to find Wave Height given Cross-Shore Component?

The formula of Wave Height given Cross-Shore Component is expressed as Wave Height = sqrt((16*Coastal Cross-Shore Component)/(3*Water Density*[g]*Water Depth)). Here is an example- 2.999986 = sqrt((16*17376)/(3*1000*[g]*1.05)).

How to calculate Wave Height given Cross-Shore Component?

With Coastal Cross-Shore Component (S_xx'), Water Density (ρ_water) & Water Depth (d) we can find Wave Height given Cross-Shore Component using the formula - Wave Height = sqrt((16*Coastal Cross-Shore Component)/(3*Water Density*[g]*Water Depth)). This formula also uses Gravitational acceleration on Earth constant(s) and Square Root (sqrt) function(s).

What are the other ways to Calculate Wave Height?

Here are the different ways to Calculate Wave Height-

Wave Height=sqrt(Mean Water Surface Elevation of Coast*8*sinh(4*pi*Water Depth/Wavelength of Coast)/(2*pi/Wavelength of Coast))

Can the Wave Height given Cross-Shore Component be negative?

Yes, the Wave Height given Cross-Shore Component, measured in Length can be negative.

Which unit is used to measure Wave Height given Cross-Shore Component?

Wave Height given Cross-Shore 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 Cross-Shore Component can be measured.

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