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Distance from Bottom to Crest Formula

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

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

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

Distance from Bottom to Crest Example

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

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

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

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

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

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

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Distance from Bottom to Crest Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

y c = 16m \cdot ((\frac{21m}{16m}) + (\frac{14m}{16m}))

Next Step Prepare to Evaluate

∴

y c = 16 \cdot ((\frac{21}{16}) + (\frac{14}{16}))

LAST Step Evaluate

∴

y c = 35m

Distance from Bottom to Crest Formula Elements

Variables

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

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 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

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 Wave Trough

y t = d c \cdot ((\frac{y c}{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 Crest?

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

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

FAQs on Distance from Bottom to Crest

What is the formula to find Distance from Bottom to Crest?

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

How to calculate Distance from Bottom to Crest?

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

Can the Distance from Bottom to Crest be negative?

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

Which unit is used to measure Distance from Bottom to Crest?

Distance from Bottom to Crest 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 Crest can be measured.

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Distance from Bottom to Crest Formula

Distance from Bottom to Crest Example

Distance from Bottom to Crest Solution

Distance from Bottom to Crest Formula Elements

Other formulas in Cnoidal Wave Theory category

How to Evaluate Distance from Bottom to Crest?

FAQs on Distance from Bottom to Crest

Variable Name