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Distance from Bottom to Wave Trough Formula

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Distance from the Bottom to the Wave Trough is defined as the total stretch from the bottom to the trough of the wave. Check FAQs

y t = d c \cdot ((\frac{y c}{d c}) - (\frac{H w}{d c}))

y_t - Distance from the Bottom to the Wave Trough?d_c - Water Depth for Cnoidal Wave?y_c - Distance from the Bottom to the Crest?H_w - Height of the Wave?

Distance from Bottom to Wave Trough Example

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Here is how the Distance from Bottom to Wave Trough equation looks like with Values.

Here is how the Distance from Bottom to Wave Trough equation looks like with Units.

Here is how the Distance from Bottom to Wave Trough equation looks like.

21 = 16 \cdot ((\frac{35}{16}) - (\frac{14}{16}))

21m = 16m \cdot ((\frac{35m}{16m}) - (\frac{14m}{16m}))

21 = 16 \cdot ((\frac{35}{16}) - (\frac{14}{16}))

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Distance from Bottom to Wave Trough Solution

Follow our step by step solution on how to calculate Distance from Bottom to Wave Trough?

FIRST Step Consider the formula

y t = d c \cdot ((\frac{y c}{d c}) - (\frac{H w}{d c}))

Next Step Substitute values of Variables

∴

y t = 16m \cdot ((\frac{35m}{16m}) - (\frac{14m}{16m}))

Next Step Prepare to Evaluate

∴

y t = 16 \cdot ((\frac{35}{16}) - (\frac{14}{16}))

LAST Step Evaluate

∴

y t = 21m

Distance from Bottom to Wave Trough Formula Elements

Variables

Distance from the Bottom to the Wave Trough

Distance from the Bottom to the Wave Trough is defined as the total stretch from the bottom to the trough of the wave.

Symbol: y_t

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Distance from the Bottom to the Wave Trough

Water Depth for Cnoidal Wave

Water Depth for Cnoidal Wave refers to the depth of the water in which the cnoidal wave is propagating.

Symbol: d_c

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Water Depth for Cnoidal Wave

Distance from the Bottom to the Crest

Distance from the Bottom to the Crest is defined as the total stretch from the bottom to the crest of the wave.

Symbol: y_c

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Distance from the Bottom to the Crest

Height of the Wave

Height of the Wave is the difference between the elevations of a crest and a neighboring trough.

Symbol: H_w

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Height of the Wave

Other formulas in Cnoidal Wave Theory category

Go Distance from Bottom to Crest

y c = d c \cdot ((\frac{y t}{d c}) + (\frac{H w}{d c}))

Go Trough to Crest Wave Height

H w = d c \cdot ((\frac{y c}{d c}) - (\frac{y t}{d c}))

Go Complete Elliptic Integral of Second Kind

E k = - ((((\frac{y t}{d c}) + (\frac{H w}{d c}) - 1) \cdot \frac{3 \cdot λ^{2}}{(16 \cdot {d c}^{2}) \cdot K k}) - K k)

Go Wavelength for Distance from Bottom to Wave Trough

λ = \sqrt{\frac{16 \cdot {d c}^{2} \cdot K k \cdot (K k - E k)}{3 \cdot ((\frac{y t}{d c}) + (\frac{H w}{d c}) - 1)}}

How to Evaluate Distance from Bottom to Wave Trough?

Distance from Bottom to Wave Trough evaluator uses Distance from the Bottom to the Wave Trough = Water Depth for Cnoidal Wave*((Distance from the Bottom to the Crest/Water Depth for Cnoidal Wave)-(Height of the Wave/Water Depth for Cnoidal Wave)) to evaluate the Distance from the Bottom to the Wave Trough, The Distance from Bottom to Wave Trough formula is defined as the total stretch from bottom to trough of wave. Distance from the Bottom to the Wave Trough is denoted by y_t symbol.

How to evaluate Distance from Bottom to Wave Trough using this online evaluator? To use this online evaluator for Distance from Bottom to Wave Trough, enter Water Depth for Cnoidal Wave (d_c), Distance from the Bottom to the Crest (y_c) & Height of the Wave (H_w) and hit the calculate button.

FAQs on Distance from Bottom to Wave Trough

What is the formula to find Distance from Bottom to Wave Trough?

The formula of Distance from Bottom to Wave Trough is expressed as Distance from the Bottom to the Wave Trough = Water Depth for Cnoidal Wave*((Distance from the Bottom to the Crest/Water Depth for Cnoidal Wave)-(Height of the Wave/Water Depth for Cnoidal Wave)). Here is an example- 21 = 16*((35/16)-(14/16)).

How to calculate Distance from Bottom to Wave Trough?

With Water Depth for Cnoidal Wave (d_c), Distance from the Bottom to the Crest (y_c) & Height of the Wave (H_w) we can find Distance from Bottom to Wave Trough using the formula - Distance from the Bottom to the Wave Trough = Water Depth for Cnoidal Wave*((Distance from the Bottom to the Crest/Water Depth for Cnoidal Wave)-(Height of the Wave/Water Depth for Cnoidal Wave)).

Can the Distance from Bottom to Wave Trough be negative?

Yes, the Distance from Bottom to Wave Trough, measured in Length can be negative.

Which unit is used to measure Distance from Bottom to Wave Trough?

Distance from Bottom to Wave Trough is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Distance from Bottom to Wave Trough can be measured.

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Distance from Bottom to Wave Trough Formula

Distance from Bottom to Wave Trough Example

Distance from Bottom to Wave Trough Solution

Distance from Bottom to Wave Trough Formula Elements

Other formulas in Cnoidal Wave Theory category

How to Evaluate Distance from Bottom to Wave Trough?

FAQs on Distance from Bottom to Wave Trough

Variable Name