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Wave Height for Major Horizontal Semi-Axis given Wavelength Formula

GoWave Height given Wave Amplitude Formula

GoWave Height given Wave Steepness Formula

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Wave Height is the vertical distance between the trough (lowest point) and the crest (highest point) of a wave. The average height of the highest third of the waves in a given wave dataset. Check FAQs

H = A \cdot 2 \cdot \frac{\sinh (2 \cdot π \cdot \frac{d}{λ})}{\cosh (2 \cdot π \cdot \frac{D Z+d}{λ})}

H - Wave Height?A - Horizontal Semi-axis of Water Particle?d - Depth of Water Wave?λ - Wavelength?D_Z+d - Distance above Bottom?π - Archimedes' constant?

Wave Height for Major Horizontal Semi-Axis given Wavelength Example

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Here is how the Wave Height for Major Horizontal Semi-Axis given Wavelength equation looks like with Values.

Here is how the Wave Height for Major Horizontal Semi-Axis given Wavelength equation looks like with Units.

Here is how the Wave Height for Major Horizontal Semi-Axis given Wavelength equation looks like.

2.5643 = 6.707 \cdot 2 \cdot \frac{\sinh (2 \cdot 3.1416 \cdot \frac{0.9}{26.8})}{\cosh (2 \cdot 3.1416 \cdot \frac{2}{26.8})}

2.5643m = 6.707 \cdot 2 \cdot \frac{\sinh (2 \cdot 3.1416 \cdot \frac{0.9m}{26.8m})}{\cosh (2 \cdot 3.1416 \cdot \frac{2m}{26.8m})}

2.5643 = 6.707 \cdot 2 \cdot \frac{\sinh (2 \cdot 3.1416 \cdot \frac{0.9}{26.8})}{\cosh (2 \cdot 3.1416 \cdot \frac{2}{26.8})}

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Wave Height for Major Horizontal Semi-Axis given Wavelength Solution

Follow our step by step solution on how to calculate Wave Height for Major Horizontal Semi-Axis given Wavelength?

FIRST Step Consider the formula

H = A \cdot 2 \cdot \frac{\sinh (2 \cdot π \cdot \frac{d}{λ})}{\cosh (2 \cdot π \cdot \frac{D Z+d}{λ})}

Next Step Substitute values of Variables

∴

H = 6.707 \cdot 2 \cdot \frac{\sinh (2 \cdot π \cdot \frac{0.9m}{26.8m})}{\cosh (2 \cdot π \cdot \frac{2m}{26.8m})}

Next Step Substitute values of Constants

∴

H = 6.707 \cdot 2 \cdot \frac{\sinh (2 \cdot 3.1416 \cdot \frac{0.9m}{26.8m})}{\cosh (2 \cdot 3.1416 \cdot \frac{2m}{26.8m})}

Next Step Prepare to Evaluate

∴

H = 6.707 \cdot 2 \cdot \frac{\sinh (2 \cdot 3.1416 \cdot \frac{0.9}{26.8})}{\cosh (2 \cdot 3.1416 \cdot \frac{2}{26.8})}

Next Step Evaluate

∴

H = 2.56433397155362m

LAST Step Rounding Answer

∴

H = 2.5643m

Wave Height for Major Horizontal Semi-Axis given Wavelength Formula Elements

Variables

Constants

Functions

Wave Height

Wave Height is the vertical distance between the trough (lowest point) and the crest (highest point) of a wave. The average height of the highest third of the waves in a given wave dataset.

Symbol: H

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Wave Height

Horizontal Semi-axis of Water Particle

Horizontal Semi-axis of Water Particle is a plane curve surrounding two focal points, such that for all points on the curve, sum of two distances to focal points is constant.

Symbol: A

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Horizontal Semi-axis of Water Particle

Depth of Water Wave

Depth of Water Wave is the vertical distance from the still water level to the seabed, specifically related to the depth at which the water particle motion due to the wave becomes negligible.

Symbol: d

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Depth of Water Wave

Wavelength

Wavelength is the horizontal distance between successive crests (or troughs) of a wave. It provides crucial information about the size and shape of waves propagating in water bodies.

Symbol: λ

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Wavelength

Distance above Bottom

Distance above Bottom is the vertical distance measured from the seabed or the ocean floor to a specific point in the water column.

Symbol: D_Z+d

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Distance above Bottom

Archimedes' constant

Archimedes' constant is a mathematical constant that represents the ratio of the circumference of a circle to its diameter.

Symbol: π

Value: 3.14159265358979323846264338327950288

sinh

The hyperbolic sine function, also known as the sinh function, is a mathematical function that is defined as the hyperbolic analogue of the sine function.

Syntax: sinh(Number)

cosh

The hyperbolic cosine function is a mathematical function that is defined as the ratio of the sum of the exponential functions of x and negative x to 2.

Syntax: cosh(Number)

Other Formulas to find Wave Height

Go Wave Height given Wave Amplitude

H = 2 \cdot a

Go Wave Height given Wave Steepness

H = ε s \cdot λ

Go Wave Height for Horizontal Fluid Particle Displacement

H = ε \cdot (4 \cdot π \cdot λ) \cdot \frac{\cosh (2 \cdot π \cdot \frac{D}{λ})}{[g] \cdot {T h}^{2}} \cdot ((\cosh (2 \cdot π \cdot \frac{D Z+d}{λ}))) \cdot \sin (θ)

Go Wave Height for Horizontal Component of Local Fluid Velocity

H = u \cdot 2 \cdot λ \cdot \frac{\cosh (2 \cdot π \cdot \frac{d}{λ})}{[g] \cdot T p \cdot \cosh (2 \cdot π \cdot \frac{D Z+d}{λ}) \cdot \cos (θ)}

Other formulas in Wave Height category

Go Wave Height for Vertical Fluid Particle Displacement

H' = ε \cdot (4 \cdot π \cdot λ) \cdot \frac{\cosh (2 \cdot π \cdot \frac{D}{λ})}{[g] \cdot {T p}^{2} \cdot \sinh (2 \cdot π \cdot \frac{D Z+d}{λ}) \cdot \cos (θ)}

Go Significant Wave Height given Wave Period for North Sea

H s = {(\frac{T NS}{3.94})}^{\frac{1}{0.376}}

Go Wave Height Represented by Rayleigh Distribution

H iw = (\frac{2 \cdot H}{{H rms}^{2}}) \cdot \exp (- (\frac{H^{2}}{{H rms}^{2}}))

Go Wave Height Represented by Rayleigh Distribution under Narrow Band Condition

H iw = - (1 - \exp (\frac{H^{2}}{{H rms}^{2}}))

How to Evaluate Wave Height for Major Horizontal Semi-Axis given Wavelength?

Wave Height for Major Horizontal Semi-Axis given Wavelength evaluator uses Wave Height = Horizontal Semi-axis of Water Particle*2*sinh(2*pi*Depth of Water Wave/Wavelength)/cosh(2*pi*(Distance above Bottom)/Wavelength) to evaluate the Wave Height, The Wave Height for Major Horizontal Semi-Axis given Wavelength formula 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. Wave Height is denoted by H symbol.

How to evaluate Wave Height for Major Horizontal Semi-Axis given Wavelength using this online evaluator? To use this online evaluator for Wave Height for Major Horizontal Semi-Axis given Wavelength, enter Horizontal Semi-axis of Water Particle (A), Depth of Water Wave (d), Wavelength (λ) & Distance above Bottom (D_Z+d) and hit the calculate button.

FAQs on Wave Height for Major Horizontal Semi-Axis given Wavelength

What is the formula to find Wave Height for Major Horizontal Semi-Axis given Wavelength?

The formula of Wave Height for Major Horizontal Semi-Axis given Wavelength is expressed as Wave Height = Horizontal Semi-axis of Water Particle*2*sinh(2*pi*Depth of Water Wave/Wavelength)/cosh(2*pi*(Distance above Bottom)/Wavelength). Here is an example- 2.564334 = 6.707*2*sinh(2*pi*0.9/26.8)/cosh(2*pi*(2)/26.8).

How to calculate Wave Height for Major Horizontal Semi-Axis given Wavelength?

With Horizontal Semi-axis of Water Particle (A), Depth of Water Wave (d), Wavelength (λ) & Distance above Bottom (D_Z+d) we can find Wave Height for Major Horizontal Semi-Axis given Wavelength using the formula - Wave Height = Horizontal Semi-axis of Water Particle*2*sinh(2*pi*Depth of Water Wave/Wavelength)/cosh(2*pi*(Distance above Bottom)/Wavelength). This formula also uses Archimedes' constant and , Hyperbolic Sine (sinh), Hyperbolic Cosine (cosh) function(s).

What are the other ways to Calculate Wave Height?

Here are the different ways to Calculate Wave Height-

Wave Height=2*Wave Amplitude
Wave Height=Wave Steepness*Wavelength
Wave Height=Fluid Particle Displacement*(4*pi*Wavelength)*(cosh(2*pi*Water Depth/Wavelength))/([g]*Wave Period for Horizontal Fluid Particle^2)*((cosh(2*pi*(Distance above Bottom)/Wavelength)))*sin(Phase Angle)

Can the Wave Height for Major Horizontal Semi-Axis given Wavelength be negative?

Yes, the Wave Height for Major Horizontal Semi-Axis given Wavelength, measured in Length can be negative.

Which unit is used to measure Wave Height for Major Horizontal Semi-Axis given Wavelength?

Wave Height for Major Horizontal Semi-Axis given Wavelength 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 Major Horizontal Semi-Axis given Wavelength can be measured.

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Wave Height for Major Horizontal Semi-Axis given Wavelength Formula

​GoWave Height given Wave Amplitude Formula

​GoWave Height given Wave Steepness Formula

Wave Height for Major Horizontal Semi-Axis given Wavelength Example

Wave Height for Major Horizontal Semi-Axis given Wavelength Solution

Wave Height for Major Horizontal Semi-Axis given Wavelength Formula Elements

Other Formulas to find Wave Height

Other formulas in Wave Height category

How to Evaluate Wave Height for Major Horizontal Semi-Axis given Wavelength?

FAQs on Wave Height for Major Horizontal Semi-Axis given Wavelength

Variable Name

GoWave Height given Wave Amplitude Formula

GoWave Height given Wave Steepness Formula