FormulaDen.com

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

Water Surface Elevation of Two Sinusoidal Wave Formula

GoWater Surface Elevation Formula

Fx Copy

LaTeX Copy

Water Elevation is the height or level of water relative to a specified reference point. It's a crucial parameter in understanding the behavior of coastal and ocean environments. Check FAQs

η'' = (\frac{H}{2}) \cdot \cos ((2 \cdot π \cdot \frac{x}{L1}) - (2 \cdot π \cdot \frac{t}{T 1})) + (\frac{H}{2}) \cdot \cos ((2 \cdot π \cdot \frac{x}{L2}) - (2 \cdot π \cdot \frac{t}{T 2}))

η^'' - Water Elevation?H - Wave Height?x - Spatial Progressive Wave?L1 - Wavelength of Component Wave 1?t - Temporal Progressive Wave?T₁ - Wave Period of Component Wave 1?L2 - Wavelength of Component Wave 2?T₂ - Wave Period of Component Wave 2?π - Archimedes' constant?

Water Surface Elevation of Two Sinusoidal Wave Example

With values

With units

Only example

Here is how the Water Surface Elevation of Two Sinusoidal Wave equation looks like with Values.

Here is how the Water Surface Elevation of Two Sinusoidal Wave equation looks like with Units.

Here is how the Water Surface Elevation of Two Sinusoidal Wave equation looks like.

1.5009 = (\frac{3}{2}) \cdot \cos ((2 \cdot 3.1416 \cdot \frac{50}{50}) - (2 \cdot 3.1416 \cdot \frac{24.99}{25})) + (\frac{3}{2}) \cdot \cos ((2 \cdot 3.1416 \cdot \frac{50}{25}) - (2 \cdot 3.1416 \cdot \frac{24.99}{100}))

1.5009m = (\frac{3m}{2}) \cdot \cos ((2 \cdot 3.1416 \cdot \frac{50}{50}) - (2 \cdot 3.1416 \cdot \frac{24.99}{25s})) + (\frac{3m}{2}) \cdot \cos ((2 \cdot 3.1416 \cdot \frac{50}{25}) - (2 \cdot 3.1416 \cdot \frac{24.99}{100s}))

1.5009 = (\frac{3}{2}) \cdot \cos ((2 \cdot 3.1416 \cdot \frac{50}{50}) - (2 \cdot 3.1416 \cdot \frac{24.99}{25})) + (\frac{3}{2}) \cdot \cos ((2 \cdot 3.1416 \cdot \frac{50}{25}) - (2 \cdot 3.1416 \cdot \frac{24.99}{100}))

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 Water Surface Elevation of Two Sinusoidal Wave

Water Surface Elevation of Two Sinusoidal Wave Solution

Follow our step by step solution on how to calculate Water Surface Elevation of Two Sinusoidal Wave?

FIRST Step Consider the formula

η'' = (\frac{H}{2}) \cdot \cos ((2 \cdot π \cdot \frac{x}{L1}) - (2 \cdot π \cdot \frac{t}{T 1})) + (\frac{H}{2}) \cdot \cos ((2 \cdot π \cdot \frac{x}{L2}) - (2 \cdot π \cdot \frac{t}{T 2}))

Next Step Substitute values of Variables

∴

η'' = (\frac{3m}{2}) \cdot \cos ((2 \cdot π \cdot \frac{50}{50}) - (2 \cdot π \cdot \frac{24.99}{25s})) + (\frac{3m}{2}) \cdot \cos ((2 \cdot π \cdot \frac{50}{25}) - (2 \cdot π \cdot \frac{24.99}{100s}))

Next Step Substitute values of Constants

∴

η'' = (\frac{3m}{2}) \cdot \cos ((2 \cdot 3.1416 \cdot \frac{50}{50}) - (2 \cdot 3.1416 \cdot \frac{24.99}{25s})) + (\frac{3m}{2}) \cdot \cos ((2 \cdot 3.1416 \cdot \frac{50}{25}) - (2 \cdot 3.1416 \cdot \frac{24.99}{100s}))

Next Step Prepare to Evaluate

∴

η'' = (\frac{3}{2}) \cdot \cos ((2 \cdot 3.1416 \cdot \frac{50}{50}) - (2 \cdot 3.1416 \cdot \frac{24.99}{25})) + (\frac{3}{2}) \cdot \cos ((2 \cdot 3.1416 \cdot \frac{50}{25}) - (2 \cdot 3.1416 \cdot \frac{24.99}{100}))

Next Step Evaluate

∴

η'' = 1.50093774032644m

LAST Step Rounding Answer

∴

η'' = 1.5009m

Water Surface Elevation of Two Sinusoidal Wave Formula Elements

Variables

Constants

Functions

Water Elevation

Water Elevation is the height or level of water relative to a specified reference point. It's a crucial parameter in understanding the behavior of coastal and ocean environments.

Symbol: η^''

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Water Elevation

Wave Height

Wave Height is the vertical distance between the crest and the trough of a wave. Higher wave heights correspond to greater wave forces, which leads to increased structural loading.

Symbol: H

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Wave Height

Spatial Progressive Wave

Spatial Progressive Wave induce fluctuating pressures on submerged surfaces, leading to erosion, scouring, or structural instability if not properly accounted for in design and analysis.

Symbol: x

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Spatial Progressive Wave

Wavelength of Component Wave 1

Wavelength of Component Wave 1 is the distance between successive peaks of the first component wave in a wave spectrum. It influence the performance of structures in response to wave action.

Symbol: L1

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Wavelength of Component Wave 1

Temporal Progressive Wave

Temporal Progressive Wave describes the dynamic changes in pressure exerted by waves on submerged structures or within porous coastal sediments over time.

Symbol: t

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Temporal Progressive Wave

Wave Period of Component Wave 1

Wave Period of Component Wave 1 is the time it takes for one complete cycle of a specific wave within a wave spectrum. It influences the pressure fluctuations experienced by submerged structures.

Symbol: T₁

Measurement: TimeUnit: s

Note: Value can be positive or negative.

Formulas to find Wave Period of Component Wave 1

Wavelength of Component Wave 2

Wavelength of Component Wave 2 is the distance between successive peaks or troughs of the second component wave in a wave spectrum. It is crucial for analyzing subsurface pressure.

Symbol: L2

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Wavelength of Component Wave 2

Wave Period of Component Wave 2

Wave Period of Component Wave 2 is the time it takes for the second most dominant wave to complete one full cycle. It is crucial for analyzing the subsurface pressure distribution.

Symbol: T₂

Measurement: TimeUnit: s

Note: Value can be positive or negative.

Formulas to find Wave Period of Component Wave 2

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

cos

Cosine of an angle is the ratio of the side adjacent to the angle to the hypotenuse of the triangle.

Syntax: cos(Angle)

Other Formulas to find Water Elevation

Go Water Surface Elevation

η'' = (\frac{H}{2}) \cdot \cos (θ)

Other formulas in Pressure Component category

Go Total or Absolute Pressure

P abs = (ρ \cdot [g] \cdot H \cdot \cosh (2 \cdot π \cdot \frac{D Z+d}{λ}) \cdot \frac{\cos (θ)}{2} \cdot \cosh (2 \cdot π \cdot \frac{d}{λ})) - (ρ \cdot [g] \cdot Z) + P atm

Go Atmospheric Pressure given Total or Absolute Pressure

P atm = P abs - (ρ \cdot [g] \cdot H \cdot \cosh (2 \cdot π \cdot \frac{D Z+d}{λ})) \cdot \frac{\cos (θ)}{2 \cdot \cosh (2 \cdot π \cdot \frac{d}{λ})} + (ρ \cdot [g] \cdot Z)

How to Evaluate Water Surface Elevation of Two Sinusoidal Wave?

Water Surface Elevation of Two Sinusoidal Wave evaluator uses Water Elevation = (Wave Height/2)*cos((2*pi*Spatial Progressive Wave/Wavelength of Component Wave 1)-(2*pi*Temporal Progressive Wave/Wave Period of Component Wave 1))+(Wave Height/2)*cos((2*pi*Spatial Progressive Wave/Wavelength of Component Wave 2)-(2*pi*Temporal Progressive Wave/Wave Period of Component Wave 2)) to evaluate the Water Elevation, The Water Surface Elevation of Two Sinusoidal Wave Formula is defined as the height, in relation to mean sea level, of floods of various magnitudes and frequencies in the floodplains of coastal or riverine areas. Water Elevation is denoted by η^'' symbol.

How to evaluate Water Surface Elevation of Two Sinusoidal Wave using this online evaluator? To use this online evaluator for Water Surface Elevation of Two Sinusoidal Wave, enter Wave Height (H), Spatial Progressive Wave (x), Wavelength of Component Wave 1 (L1), Temporal Progressive Wave (t), Wave Period of Component Wave 1 (T₁), Wavelength of Component Wave 2 (L2) & Wave Period of Component Wave 2 (T₂) and hit the calculate button.

FAQs on Water Surface Elevation of Two Sinusoidal Wave

What is the formula to find Water Surface Elevation of Two Sinusoidal Wave?

The formula of Water Surface Elevation of Two Sinusoidal Wave is expressed as Water Elevation = (Wave Height/2)*cos((2*pi*Spatial Progressive Wave/Wavelength of Component Wave 1)-(2*pi*Temporal Progressive Wave/Wave Period of Component Wave 1))+(Wave Height/2)*cos((2*pi*Spatial Progressive Wave/Wavelength of Component Wave 2)-(2*pi*Temporal Progressive Wave/Wave Period of Component Wave 2)). Here is an example- 1.500938 = (3/2)*cos((2*pi*50/50)-(2*pi*24.99/25))+(3/2)*cos((2*pi*50/25)-(2*pi*24.99/100)).

How to calculate Water Surface Elevation of Two Sinusoidal Wave?

With Wave Height (H), Spatial Progressive Wave (x), Wavelength of Component Wave 1 (L1), Temporal Progressive Wave (t), Wave Period of Component Wave 1 (T₁), Wavelength of Component Wave 2 (L2) & Wave Period of Component Wave 2 (T₂) we can find Water Surface Elevation of Two Sinusoidal Wave using the formula - Water Elevation = (Wave Height/2)*cos((2*pi*Spatial Progressive Wave/Wavelength of Component Wave 1)-(2*pi*Temporal Progressive Wave/Wave Period of Component Wave 1))+(Wave Height/2)*cos((2*pi*Spatial Progressive Wave/Wavelength of Component Wave 2)-(2*pi*Temporal Progressive Wave/Wave Period of Component Wave 2)). This formula also uses Archimedes' constant and Cosine (cos) function(s).

What are the other ways to Calculate Water Elevation?

Here are the different ways to Calculate Water Elevation-

Water Elevation=(Wave Height/2)*cos(Phase Angle)

Can the Water Surface Elevation of Two Sinusoidal Wave be negative?

Yes, the Water Surface Elevation of Two Sinusoidal Wave, measured in Length can be negative.

Which unit is used to measure Water Surface Elevation of Two Sinusoidal Wave?

Water Surface Elevation of Two Sinusoidal Wave is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Water Surface Elevation of Two Sinusoidal Wave can be measured.

Let Others Know

✖

Facebook

Twitter

Copied!

: Value
: Unit

Water Surface Elevation of Two Sinusoidal Wave Formula

​GoWater Surface Elevation Formula

Water Surface Elevation of Two Sinusoidal Wave Example

Water Surface Elevation of Two Sinusoidal Wave Solution

Water Surface Elevation of Two Sinusoidal Wave Formula Elements

Other Formulas to find Water Elevation

Other formulas in Pressure Component category

How to Evaluate Water Surface Elevation of Two Sinusoidal Wave?

FAQs on Water Surface Elevation of Two Sinusoidal Wave

Variable Name

GoWater Surface Elevation Formula