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Water Depth at Breaking given Setdown at Breaker Point at Still-Water Shoreline Formula

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Water Depth at Breaking is the depth of water where ocean surface waves start to break as they approach the shore which depends on the wave climate and is therefore highly variable. Check FAQs

d b = \frac{η s - η b}{\frac{1}{1 + (\frac{8}{3 \cdot {Υ b'}^{2}})}}

d_b - Water Depth at Breaking?η_s - Setup at the Still-Water Shore Line?η_b - Set Down at the Breaker Point?Υ_b' - Coastal Breaker Depth Index?

Water Depth at Breaking given Setdown at Breaker Point at Still-Water Shoreline Example

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Here is how the Water Depth at Breaking given Setdown at Breaker Point at Still-Water Shoreline equation looks like with Values.

Here is how the Water Depth at Breaking given Setdown at Breaker Point at Still-Water Shoreline equation looks like with Units.

Here is how the Water Depth at Breaking given Setdown at Breaker Point at Still-Water Shoreline equation looks like.

55.0191 = \frac{53 - 0.23}{\frac{1}{1 + (\frac{8}{3 \cdot {7.91}^{2}})}}

55.0191m = \frac{53m - 0.23m}{\frac{1}{1 + (\frac{8}{3 \cdot {7.91}^{2}})}}

55.0191 = \frac{53 - 0.23}{\frac{1}{1 + (\frac{8}{3 \cdot {7.91}^{2}})}}

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Water Depth at Breaking given Setdown at Breaker Point at Still-Water Shoreline Solution

Follow our step by step solution on how to calculate Water Depth at Breaking given Setdown at Breaker Point at Still-Water Shoreline?

FIRST Step Consider the formula

d b = \frac{η s - η b}{\frac{1}{1 + (\frac{8}{3 \cdot {Υ b'}^{2}})}}

Next Step Substitute values of Variables

∴

d b = \frac{53m - 0.23m}{\frac{1}{1 + (\frac{8}{3 \cdot {7.91}^{2}})}}

Next Step Prepare to Evaluate

∴

d b = \frac{53 - 0.23}{\frac{1}{1 + (\frac{8}{3 \cdot {7.91}^{2}})}}

Next Step Evaluate

∴

d b = 55.0190694139665m

LAST Step Rounding Answer

∴

d b = 55.0191m

Water Depth at Breaking given Setdown at Breaker Point at Still-Water Shoreline Formula Elements

Variables

Water Depth at Breaking

Water Depth at Breaking is the depth of water where ocean surface waves start to break as they approach the shore which depends on the wave climate and is therefore highly variable.

Symbol: d_b

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Water Depth at Breaking

Setup at the Still-Water Shore Line

Setup at the Still-Water Shore Line is the increase in mean water level due to the presence of breaking waves.

Symbol: η_s

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Setup at the Still-Water Shore Line

Set Down at the Breaker Point

Set Down at the Breaker Point where wave setdown is a wave-induced decrease of the mean water level before the waves break.

Symbol: η_b

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Set Down at the Breaker Point

Coastal Breaker Depth Index

Coastal Breaker Depth Index is the ratio of the wave height at breaking, to the water depth, at the breakpoint.

Symbol: Υ_b'

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Coastal Breaker Depth Index

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 at Breaking given Setdown at Breaker Point at Still-Water Shoreline?

Water Depth at Breaking given Setdown at Breaker Point at Still-Water Shoreline evaluator uses Water Depth at Breaking = (Setup at the Still-Water Shore Line-Set Down at the Breaker Point)/(1/(1+(8/(3*Coastal Breaker Depth Index^2)))) to evaluate the Water Depth at Breaking, The Water Depth at Breaking given Setdown at Breaker Point at Still-Water Shoreline formula is defined as a measure of the total depth of datum concerning reference datum, influencing a wave-induced decrease of the mean water level before the waves break. Water Depth at Breaking is denoted by d_b symbol.

How to evaluate Water Depth at Breaking given Setdown at Breaker Point at Still-Water Shoreline using this online evaluator? To use this online evaluator for Water Depth at Breaking given Setdown at Breaker Point at Still-Water Shoreline, enter Setup at the Still-Water Shore Line (η_s), Set Down at the Breaker Point (η_b) & Coastal Breaker Depth Index (Υ_b') and hit the calculate button.

FAQs on Water Depth at Breaking given Setdown at Breaker Point at Still-Water Shoreline

What is the formula to find Water Depth at Breaking given Setdown at Breaker Point at Still-Water Shoreline?

The formula of Water Depth at Breaking given Setdown at Breaker Point at Still-Water Shoreline is expressed as Water Depth at Breaking = (Setup at the Still-Water Shore Line-Set Down at the Breaker Point)/(1/(1+(8/(3*Coastal Breaker Depth Index^2)))). Here is an example- 55.01907 = (53-0.23)/(1/(1+(8/(3*7.91^2)))).

How to calculate Water Depth at Breaking given Setdown at Breaker Point at Still-Water Shoreline?

With Setup at the Still-Water Shore Line (η_s), Set Down at the Breaker Point (η_b) & Coastal Breaker Depth Index (Υ_b') we can find Water Depth at Breaking given Setdown at Breaker Point at Still-Water Shoreline using the formula - Water Depth at Breaking = (Setup at the Still-Water Shore Line-Set Down at the Breaker Point)/(1/(1+(8/(3*Coastal Breaker Depth Index^2)))).

Can the Water Depth at Breaking given Setdown at Breaker Point at Still-Water Shoreline be negative?

Yes, the Water Depth at Breaking given Setdown at Breaker Point at Still-Water Shoreline, measured in Length can be negative.

Which unit is used to measure Water Depth at Breaking given Setdown at Breaker Point at Still-Water Shoreline?

Water Depth at Breaking given Setdown at Breaker Point at Still-Water Shoreline is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Water Depth at Breaking given Setdown at Breaker Point at Still-Water Shoreline can be measured.

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Water Depth at Breaking given Setdown at Breaker Point at Still-Water Shoreline Formula

Water Depth at Breaking given Setdown at Breaker Point at Still-Water Shoreline Example

Water Depth at Breaking given Setdown at Breaker Point at Still-Water Shoreline Solution

Water Depth at Breaking given Setdown at Breaker Point at Still-Water Shoreline Formula Elements

Other formulas in Wave Setup category

How to Evaluate Water Depth at Breaking given Setdown at Breaker Point at Still-Water Shoreline?

FAQs on Water Depth at Breaking given Setdown at Breaker Point at Still-Water Shoreline

Variable Name