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Water Depth given Cross Shore Component Formula

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

d = \frac{S xx'}{(\frac{3}{16}) \cdot ρ water \cdot [g] \cdot H^{2}}

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

Water Depth given Cross Shore Component Example

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Here is how the Water Depth given Cross Shore Component equation looks like with Values.

Here is how the Water Depth given Cross Shore Component equation looks like with Units.

Here is how the Water Depth given Cross Shore Component equation looks like.

1.05 = \frac{17376}{(\frac{3}{16}) \cdot 1000 \cdot 9.8066 \cdot 3^{2}}

1.05m = \frac{17376}{(\frac{3}{16}) \cdot 1000kg/m³ \cdot 9.8066m/s² \cdot {3m}^{2}}

1.05 = \frac{17376}{(\frac{3}{16}) \cdot 1000 \cdot 9.8066 \cdot 3^{2}}

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Water Depth given Cross Shore Component Solution

Follow our step by step solution on how to calculate Water Depth given Cross Shore Component?

FIRST Step Consider the formula

d = \frac{S xx'}{(\frac{3}{16}) \cdot ρ water \cdot [g] \cdot H^{2}}

Next Step Substitute values of Variables

∴

d = \frac{17376}{(\frac{3}{16}) \cdot 1000kg/m³ \cdot [g] \cdot {3m}^{2}}

Next Step Substitute values of Constants

∴

d = \frac{17376}{(\frac{3}{16}) \cdot 1000kg/m³ \cdot 9.8066m/s² \cdot {3m}^{2}}

Next Step Prepare to Evaluate

∴

d = \frac{17376}{(\frac{3}{16}) \cdot 1000 \cdot 9.8066 \cdot 3^{2}}

Next Step Evaluate

∴

d = 1.04999045432323m

LAST Step Rounding Answer

∴

d = 1.05m

Water Depth given Cross Shore Component Formula Elements

Variables

Constants

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

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

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

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

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 Water Depth given Cross Shore Component?

Water Depth given Cross Shore Component evaluator uses Water Depth = Coastal Cross-Shore Component/((3/16)*Water Density*[g]*Wave Height^2) to evaluate the Water Depth, The Water Depth given Cross Shore Component formula is defined as the directed radiation stress which is measured by soundings usually acquired by hydrographic surveys, measured from the water level to the bottom surface. Water Depth is denoted by d symbol.

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

FAQs on Water Depth given Cross Shore Component

What is the formula to find Water Depth given Cross Shore Component?

The formula of Water Depth given Cross Shore Component is expressed as Water Depth = Coastal Cross-Shore Component/((3/16)*Water Density*[g]*Wave Height^2). Here is an example- 0.004713 = 17376/((3/16)*1000*[g]*3^2).

How to calculate Water Depth given Cross Shore Component?

With Coastal Cross-Shore Component (S_xx'), Water Density (ρ_water) & Wave Height (H) we can find Water Depth given Cross Shore Component using the formula - Water Depth = Coastal Cross-Shore Component/((3/16)*Water Density*[g]*Wave Height^2). This formula also uses Gravitational acceleration on Earth constant(s).

Can the Water Depth given Cross Shore Component be negative?

Yes, the Water Depth given Cross Shore Component, measured in Length can be negative.

Which unit is used to measure Water Depth given Cross Shore Component?

Water Depth 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 Water Depth given Cross Shore Component can be measured.

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