FormulaDen.com

Physics Chemistry Math Chemical Engineering Civil Electrical Electronics Electronics and Instrumentation Materials Science Mechanical Production Engineering Financial Health

Wave Height for Total Wave Energy per Unit Crest Width of Solitary Wave Formula

GoWave Height given Celerity of Solitary Wave Formula

GoWave Height given Volume of Water within Wave above Still Water Level Formula

Fx Copy

LaTeX Copy

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

H w = {(\frac{E}{(\frac{8}{3 \cdot \sqrt{3}}) \cdot ρ s \cdot [g] \cdot {D w}^{\frac{3}{2}}})}^{\frac{2}{3}}

H_w - Height of the Wave?E - Total Wave Energy per Unit Crest Width?ρ_s - Density of Salt Water?D_w - Water Depth from Bed?[g] - Gravitational acceleration on Earth?

Wave Height for Total Wave Energy per Unit Crest Width of Solitary Wave Example

With values

With units

Only example

Here is how the Wave Height for Total Wave Energy per Unit Crest Width of Solitary Wave equation looks like with Values.

Here is how the Wave Height for Total Wave Energy per Unit Crest Width of Solitary Wave equation looks like with Units.

Here is how the Wave Height for Total Wave Energy per Unit Crest Width of Solitary Wave equation looks like.

13.8195 = {(\frac{2.4E+8}{(\frac{8}{3 \cdot \sqrt{3}}) \cdot 1025 \cdot 9.8066 \cdot 45^{\frac{3}{2}}})}^{\frac{2}{3}}

13.8195m = {(\frac{2.4E+8J/m}{(\frac{8}{3 \cdot \sqrt{3}}) \cdot 1025kg/m³ \cdot 9.8066m/s² \cdot {45m}^{\frac{3}{2}}})}^{\frac{2}{3}}

13.8195 = {(\frac{2.4E+8}{(\frac{8}{3 \cdot \sqrt{3}}) \cdot 1025 \cdot 9.8066 \cdot 45^{\frac{3}{2}}})}^{\frac{2}{3}}

Tip: Use pencil ( Pencil

) icon above to edit Input Values and Units.

Calculate

Recalculate

Solution

Copy

Reset

You are here -

Home » Category

Engineering » Category

Civil » Category

Coastal and Ocean Engineering » fx Wave Height for Total Wave Energy per Unit Crest Width of Solitary Wave

Wave Height for Total Wave Energy per Unit Crest Width of Solitary Wave Solution

Follow our step by step solution on how to calculate Wave Height for Total Wave Energy per Unit Crest Width of Solitary Wave?

FIRST Step Consider the formula

H w = {(\frac{E}{(\frac{8}{3 \cdot \sqrt{3}}) \cdot ρ s \cdot [g] \cdot {D w}^{\frac{3}{2}}})}^{\frac{2}{3}}

Next Step Substitute values of Variables

∴

H w = {(\frac{2.4E+8J/m}{(\frac{8}{3 \cdot \sqrt{3}}) \cdot 1025kg/m³ \cdot [g] \cdot {45m}^{\frac{3}{2}}})}^{\frac{2}{3}}

Next Step Substitute values of Constants

∴

H w = {(\frac{2.4E+8J/m}{(\frac{8}{3 \cdot \sqrt{3}}) \cdot 1025kg/m³ \cdot 9.8066m/s² \cdot {45m}^{\frac{3}{2}}})}^{\frac{2}{3}}

Next Step Prepare to Evaluate

∴

H w = {(\frac{2.4E+8}{(\frac{8}{3 \cdot \sqrt{3}}) \cdot 1025 \cdot 9.8066 \cdot 45^{\frac{3}{2}}})}^{\frac{2}{3}}

Next Step Evaluate

∴

H w = 13.8195282108665m

LAST Step Rounding Answer

∴

H w = 13.8195m

Wave Height for Total Wave Energy per Unit Crest Width of Solitary Wave Formula Elements

Variables

Constants

Functions

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

Total Wave Energy per Unit Crest Width

Total Wave Energy per Unit Crest Width refers to the amount of energy carried by ocean waves along a unit length of the wave crest.

Symbol: E

Measurement: Energy per Unit LengthUnit: J/m

Note: Value can be positive or negative.

Formulas to find Total Wave Energy per Unit Crest Width

Density of Salt Water

The Density of Salt Water is the weight of the salt water per cubic meter volume. It is greater than density of pure water.

Symbol: ρ_s

Measurement: DensityUnit: kg/m³

Note: Value should be greater than 0.

Formulas to find Density of Salt Water

Water Depth from Bed

Water Depth from Bed means the depth as measured from the water level to the bottom of the considered water body.

Symbol: D_w

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Water Depth from Bed

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 Height of the Wave

Go Wave Height given Celerity of Solitary Wave

H w = (\frac{C^{2}}{[g]}) - D w

Go Wave Height given Volume of Water within Wave above Still Water Level

H w = \frac{V^{2}}{(\frac{16}{3}) \cdot {D w}^{3}}

Go Wave Height of Unbroken Wave in Water of Finite Depth

H w = D w \cdot (\frac{(0.141063 \cdot (\frac{L}{D w})) + (0.0095721 \cdot {(\frac{L}{D w})}^{2}) + (0.0077829 \cdot {(\frac{L}{D w})}^{3})}{1 + (0.078834 \cdot (\frac{L}{D w})) + (0.0317567 \cdot {(\frac{L}{D w})}^{2}) + (0.0093407 \cdot {(\frac{L}{D w})}^{3})}) \cdot a s

Other formulas in Solitary Wave category

Go Volume of Water above Still Water Level per Unit Crest Width

V = {((\frac{16}{3}) \cdot {D w}^{3} \cdot H w)}^{0.5}

Go Water Depth given Volume of Water within Wave above Still Water Level

D w = {(\frac{{(V)}^{2}}{(\frac{16}{3}) \cdot H w})}^{\frac{1}{3}}

Go Water Surface above Bottom

y s' = D w + H w \cdot {(sech (\sqrt{(\frac{3}{4}) \cdot (\frac{H w}{{D w}^{3}})} \cdot (x - (C \cdot t))))}^{2}

Go Water Depth given Celerity of Solitary Wave

D w = (\frac{C^{2}}{[g]}) - H w

How to Evaluate Wave Height for Total Wave Energy per Unit Crest Width of Solitary Wave?

Wave Height for Total Wave Energy per Unit Crest Width of Solitary Wave evaluator uses Height of the Wave = (Total Wave Energy per Unit Crest Width/((8/(3*sqrt(3)))*Density of Salt Water*[g]*Water Depth from Bed^(3/2)))^(2/3) to evaluate the Height of the Wave, The Wave Height for Total Wave Energy per Unit Crest Width of Solitary Wave is defined as the difference between the elevations of a crest and a neighboring trough. Wave height is a term used by mariners, as well as in coastal, ocean and naval engineering. Height of the Wave is denoted by H_w symbol.

How to evaluate Wave Height for Total Wave Energy per Unit Crest Width of Solitary Wave using this online evaluator? To use this online evaluator for Wave Height for Total Wave Energy per Unit Crest Width of Solitary Wave, enter Total Wave Energy per Unit Crest Width (E), Density of Salt Water (ρ_s) & Water Depth from Bed (D_w) and hit the calculate button.

FAQs on Wave Height for Total Wave Energy per Unit Crest Width of Solitary Wave

What is the formula to find Wave Height for Total Wave Energy per Unit Crest Width of Solitary Wave?

The formula of Wave Height for Total Wave Energy per Unit Crest Width of Solitary Wave is expressed as Height of the Wave = (Total Wave Energy per Unit Crest Width/((8/(3*sqrt(3)))*Density of Salt Water*[g]*Water Depth from Bed^(3/2)))^(2/3). Here is an example- 13.81953 = (240000000/((8/(3*sqrt(3)))*1025*[g]*45^(3/2)))^(2/3).

How to calculate Wave Height for Total Wave Energy per Unit Crest Width of Solitary Wave?

With Total Wave Energy per Unit Crest Width (E), Density of Salt Water (ρ_s) & Water Depth from Bed (D_w) we can find Wave Height for Total Wave Energy per Unit Crest Width of Solitary Wave using the formula - Height of the Wave = (Total Wave Energy per Unit Crest Width/((8/(3*sqrt(3)))*Density of Salt Water*[g]*Water Depth from Bed^(3/2)))^(2/3). This formula also uses Gravitational acceleration on Earth constant(s) and Square Root (sqrt) function(s).

What are the other ways to Calculate Height of the Wave?

Here are the different ways to Calculate Height of the Wave-

Height of the Wave=(Celerity of the Wave^2/[g])-Water Depth from Bed
Height of the Wave=Volume of Water per Unit Crest Width^2/((16/3)*Water Depth from Bed^3)
Height of the Wave=Water Depth from Bed*(((0.141063*(Length of Water Wave/Water Depth from Bed))+(0.0095721*(Length of Water Wave/Water Depth from Bed)^2)+(0.0077829*(Length of Water Wave/Water Depth from Bed)^3))/(1+(0.078834*(Length of Water Wave/Water Depth from Bed))+(0.0317567*(Length of Water Wave/Water Depth from Bed)^2)+(0.0093407*(Length of Water Wave/Water Depth from Bed)^3)))*Solitary Wave Amplitude

Can the Wave Height for Total Wave Energy per Unit Crest Width of Solitary Wave be negative?

Yes, the Wave Height for Total Wave Energy per Unit Crest Width of Solitary Wave, measured in Length can be negative.

Which unit is used to measure Wave Height for Total Wave Energy per Unit Crest Width of Solitary Wave?

Wave Height for Total Wave Energy per Unit Crest Width of Solitary Wave is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Wave Height for Total Wave Energy per Unit Crest Width of Solitary Wave can be measured.

Let Others Know

✖

Facebook

Twitter

Copied!