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Wave Period for Vertical Component of Local Fluid Velocity Formula

GoWave Period for Horizontal Component of Local Fluid Velocity Formula

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Wave Period refers to the time it takes for two successive wave crests (or troughs) to pass through a given point. Check FAQs

T p = V v \cdot 2 \cdot λ \cdot \frac{\cosh (2 \cdot π \cdot \frac{d}{λ})}{H w \cdot [g] \cdot \sinh (2 \cdot π \cdot \frac{D Z+d}{λ}) \cdot \sin (θ)}

T_p - Wave Period?V_v - Vertical Component of Velocity?λ - Wavelength of Wave?d - Water Depth for Fluid Velocity?H_w - Height of the Wave?D_Z+d - Distance above the Bottom?θ - Phase Angle?[g] - Gravitational acceleration on Earth?π - Archimedes' constant?

Wave Period for Vertical Component of Local Fluid Velocity Example

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Here is how the Wave Period for Vertical Component of Local Fluid Velocity equation looks like with Values.

Here is how the Wave Period for Vertical Component of Local Fluid Velocity equation looks like with Units.

Here is how the Wave Period for Vertical Component of Local Fluid Velocity equation looks like.

94.9741 = 2.911 \cdot 2 \cdot 32 \cdot \frac{\cosh (2 \cdot 3.1416 \cdot \frac{17}{32})}{14 \cdot 9.8066 \cdot \sinh (2 \cdot 3.1416 \cdot \frac{2}{32}) \cdot \sin (30)}

94.9741s = 2.911m/s \cdot 2 \cdot 32m \cdot \frac{\cosh (2 \cdot 3.1416 \cdot \frac{17m}{32m})}{14m \cdot 9.8066m/s² \cdot \sinh (2 \cdot 3.1416 \cdot \frac{2m}{32m}) \cdot \sin (30°)}

94.9741 = 2.911 \cdot 2 \cdot 32 \cdot \frac{\cosh (2 \cdot 3.1416 \cdot \frac{17}{32})}{14 \cdot 9.8066 \cdot \sinh (2 \cdot 3.1416 \cdot \frac{2}{32}) \cdot \sin (30)}

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Wave Period for Vertical Component of Local Fluid Velocity Solution

Follow our step by step solution on how to calculate Wave Period for Vertical Component of Local Fluid Velocity?

FIRST Step Consider the formula

T p = V v \cdot 2 \cdot λ \cdot \frac{\cosh (2 \cdot π \cdot \frac{d}{λ})}{H w \cdot [g] \cdot \sinh (2 \cdot π \cdot \frac{D Z+d}{λ}) \cdot \sin (θ)}

Next Step Substitute values of Variables

∴

T p = 2.911m/s \cdot 2 \cdot 32m \cdot \frac{\cosh (2 \cdot π \cdot \frac{17m}{32m})}{14m \cdot [g] \cdot \sinh (2 \cdot π \cdot \frac{2m}{32m}) \cdot \sin (30°)}

Next Step Substitute values of Constants

∴

T p = 2.911m/s \cdot 2 \cdot 32m \cdot \frac{\cosh (2 \cdot 3.1416 \cdot \frac{17m}{32m})}{14m \cdot 9.8066m/s² \cdot \sinh (2 \cdot 3.1416 \cdot \frac{2m}{32m}) \cdot \sin (30°)}

Next Step Convert Units

∴

T p = 2.911m/s \cdot 2 \cdot 32m \cdot \frac{\cosh (2 \cdot 3.1416 \cdot \frac{17m}{32m})}{14m \cdot 9.8066m/s² \cdot \sinh (2 \cdot 3.1416 \cdot \frac{2m}{32m}) \cdot \sin (0.5236rad)}

Next Step Prepare to Evaluate

∴

T p = 2.911 \cdot 2 \cdot 32 \cdot \frac{\cosh (2 \cdot 3.1416 \cdot \frac{17}{32})}{14 \cdot 9.8066 \cdot \sinh (2 \cdot 3.1416 \cdot \frac{2}{32}) \cdot \sin (0.5236)}

Next Step Evaluate

∴

T p = 94.9741215994846s

LAST Step Rounding Answer

∴

T p = 94.9741s

Wave Period for Vertical Component of Local Fluid Velocity Formula Elements

Variables

Constants

Functions

Wave Period

Wave Period refers to the time it takes for two successive wave crests (or troughs) to pass through a given point.

Symbol: T_p

Measurement: TimeUnit: s

Note: Value should be greater than 0.

Formulas to find Wave Period

Vertical Component of Velocity

Vertical Component of Velocity refers to the speed at which water moves vertically within the coastal zone. It's a crucial parameter in understanding various coastal processes.

Symbol: V_v

Measurement: SpeedUnit: m/s

Note: Value should be greater than 0.

Formulas to find Vertical Component of Velocity

Wavelength of Wave

Wavelength of Wave refers to the distance between consecutive corresponding points of the same phase on the wave, such as two adjacent crests, troughs, or zero crossings.

Symbol: λ

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Wavelength of Wave

Water Depth for Fluid Velocity

Water Depth for Fluid Velocity is the depth as measured from the water level to the bottom of the considered water body.

Symbol: d

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Water Depth for Fluid Velocity

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

Distance above the Bottom

Distance above the Bottom refers to the vertical measurement from the lowest point of a given surface (such as the bottom of waterbody) to a specified point above it.

Symbol: D_Z+d

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Distance above the Bottom

Phase Angle

Phase Angle refers to the time lag between the maximum amplitude of a forcing function, such as waves or currents, and the response of the system, such as water level or sediment transport.

Symbol: θ

Measurement: AngleUnit: °

Note: Value can be positive or negative.

Formulas to find Phase Angle

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

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

sin

Sine is a trigonometric function that describes the ratio of the length of the opposite side of a right triangle to the length of the hypotenuse.

Syntax: sin(Angle)

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 Period

Go Wave Period for Horizontal Component of Local Fluid Velocity

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

Other formulas in Local Fluid Velocity category

Go Horizontal Component of Local Fluid Velocity

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

Go Vertical Component of Local Fluid Velocity

V v = (H w \cdot [g] \cdot \frac{T p}{2 \cdot λ}) \cdot (\frac{\sinh (2 \cdot π \cdot \frac{D Z+d}{λ})}{\cosh (2 \cdot π \cdot \frac{d}{λ})}) \cdot \sin (θ)

How to Evaluate Wave Period for Vertical Component of Local Fluid Velocity?

Wave Period for Vertical Component of Local Fluid Velocity evaluator uses Wave Period = Vertical Component of Velocity*2*Wavelength of Wave*cosh(2*pi*Water Depth for Fluid Velocity/Wavelength of Wave)/(Height of the Wave*[g]*sinh(2*pi*(Distance above the Bottom)/Wavelength of Wave)*sin(Phase Angle)) to evaluate the Wave Period, The Wave Period for Vertical Component of Local Fluid Velocity formula is defined as the time it takes for a wave to complete one full cycle of oscillation, specifically focusing on the vertical movement of water particles within the wave. Wave Period is denoted by T_p symbol.

How to evaluate Wave Period for Vertical Component of Local Fluid Velocity using this online evaluator? To use this online evaluator for Wave Period for Vertical Component of Local Fluid Velocity, enter Vertical Component of Velocity (V_v), Wavelength of Wave (λ), Water Depth for Fluid Velocity (d), Height of the Wave (H_w), Distance above the Bottom (D_Z+d) & Phase Angle (θ) and hit the calculate button.

FAQs on Wave Period for Vertical Component of Local Fluid Velocity

What is the formula to find Wave Period for Vertical Component of Local Fluid Velocity?

The formula of Wave Period for Vertical Component of Local Fluid Velocity is expressed as Wave Period = Vertical Component of Velocity*2*Wavelength of Wave*cosh(2*pi*Water Depth for Fluid Velocity/Wavelength of Wave)/(Height of the Wave*[g]*sinh(2*pi*(Distance above the Bottom)/Wavelength of Wave)*sin(Phase Angle)). Here is an example- 94.97412 = 2.911*2*32*cosh(2*pi*17/32)/(14*[g]*sinh(2*pi*(2)/32)*sin(0.5235987755982)).

How to calculate Wave Period for Vertical Component of Local Fluid Velocity?

With Vertical Component of Velocity (V_v), Wavelength of Wave (λ), Water Depth for Fluid Velocity (d), Height of the Wave (H_w), Distance above the Bottom (D_Z+d) & Phase Angle (θ) we can find Wave Period for Vertical Component of Local Fluid Velocity using the formula - Wave Period = Vertical Component of Velocity*2*Wavelength of Wave*cosh(2*pi*Water Depth for Fluid Velocity/Wavelength of Wave)/(Height of the Wave*[g]*sinh(2*pi*(Distance above the Bottom)/Wavelength of Wave)*sin(Phase Angle)). This formula also uses Gravitational acceleration on Earth, Archimedes' constant and , Sine (sin), Hyperbolic Sine (sinh), Hyperbolic Cosine (cosh) function(s).

What are the other ways to Calculate Wave Period?

Here are the different ways to Calculate Wave Period-

Wave Period=Horizontal Component of Velocity*2*Wavelength of Wave*cosh(2*pi*Water Depth for Fluid Velocity/Wavelength of Wave)/(Height of the Wave*[g]*cosh(2*pi*(Distance above the Bottom)/Wavelength of Wave)*cos(Phase Angle))

Can the Wave Period for Vertical Component of Local Fluid Velocity be negative?

No, the Wave Period for Vertical Component of Local Fluid Velocity, measured in Time cannot be negative.

Which unit is used to measure Wave Period for Vertical Component of Local Fluid Velocity?

Wave Period for Vertical Component of Local Fluid Velocity is usually measured using the Second[s] for Time. Millisecond[s], Microsecond[s], Nanosecond[s] are the few other units in which Wave Period for Vertical Component of Local Fluid Velocity can be measured.

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Wave Period for Vertical Component of Local Fluid Velocity Formula

​GoWave Period for Horizontal Component of Local Fluid Velocity Formula

Wave Period for Vertical Component of Local Fluid Velocity Example

Wave Period for Vertical Component of Local Fluid Velocity Solution

Wave Period for Vertical Component of Local Fluid Velocity Formula Elements

Other Formulas to find Wave Period

Other formulas in Local Fluid Velocity category

How to Evaluate Wave Period for Vertical Component of Local Fluid Velocity?

FAQs on Wave Period for Vertical Component of Local Fluid Velocity

Variable Name

GoWave Period for Horizontal Component of Local Fluid Velocity Formula