FormulaDen.com

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

Time Elapsed given Water Surface Amplitude Formula

Fx Copy

LaTeX Copy

Time Elapsed is the total duration that has passed from the start of an event to a specific point in time, typically measured in seconds, minutes, or hours. Check FAQs

t = T \cdot \frac{a \cos (\frac{N}{H i \cdot \cos (\frac{2 \cdot π \cdot x}{L o})})}{2 \cdot π}

t - Time Elapsed?T - Reflected Wave Period?N - Water Surface Amplitude?H_i - Incident Wave Height?x - Horizontal Ordinate?L_o - Incident Wave Length in Deepwater?π - Archimedes' constant?

Time Elapsed given Water Surface Amplitude Example

With values

With units

Only example

Here is how the Time Elapsed given Water Surface Amplitude equation looks like with Values.

Here is how the Time Elapsed given Water Surface Amplitude equation looks like with Units.

Here is how the Time Elapsed given Water Surface Amplitude equation looks like.

11.9294 = 34 \cdot \frac{a \cos (\frac{78.78}{160 \cdot \cos (\frac{2 \cdot 3.1416 \cdot 38.5}{16})})}{2 \cdot 3.1416}

11.9294s = 34s \cdot \frac{a \cos (\frac{78.78m}{160m \cdot \cos (\frac{2 \cdot 3.1416 \cdot 38.5}{16m})})}{2 \cdot 3.1416}

11.9294 = 34 \cdot \frac{a \cos (\frac{78.78}{160 \cdot \cos (\frac{2 \cdot 3.1416 \cdot 38.5}{16})})}{2 \cdot 3.1416}

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 Time Elapsed given Water Surface Amplitude

Time Elapsed given Water Surface Amplitude Solution

Follow our step by step solution on how to calculate Time Elapsed given Water Surface Amplitude?

FIRST Step Consider the formula

t = T \cdot \frac{a \cos (\frac{N}{H i \cdot \cos (\frac{2 \cdot π \cdot x}{L o})})}{2 \cdot π}

Next Step Substitute values of Variables

∴

t = 34s \cdot \frac{a \cos (\frac{78.78m}{160m \cdot \cos (\frac{2 \cdot π \cdot 38.5}{16m})})}{2 \cdot π}

Next Step Substitute values of Constants

∴

t = 34s \cdot \frac{a \cos (\frac{78.78m}{160m \cdot \cos (\frac{2 \cdot 3.1416 \cdot 38.5}{16m})})}{2 \cdot 3.1416}

Next Step Prepare to Evaluate

∴

t = 34 \cdot \frac{a \cos (\frac{78.78}{160 \cdot \cos (\frac{2 \cdot 3.1416 \cdot 38.5}{16})})}{2 \cdot 3.1416}

Next Step Evaluate

∴

t = 11.9294157534523s

LAST Step Rounding Answer

∴

t = 11.9294s

Time Elapsed given Water Surface Amplitude Formula Elements

Variables

Constants

Functions

Time Elapsed

Time Elapsed is the total duration that has passed from the start of an event to a specific point in time, typically measured in seconds, minutes, or hours.

Symbol: t

Measurement: TimeUnit: s

Note: Value should be greater than 0.

Formulas to find Time Elapsed

Reflected Wave Period

Reflected Wave Period is the time interval between successive crests or troughs of a wave after it reflects off a surface, measured in seconds (s).

Symbol: T

Measurement: TimeUnit: s

Note: Value can be positive or negative.

Formulas to find Reflected Wave Period

Water Surface Amplitude

Water Surface Amplitude is the maximum vertical distance between the highest and lowest points of a water surface wave.

Symbol: N

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Water Surface Amplitude

Incident Wave Height

Incident Wave Height is obtained as the arithmetic mean of the wave heights measured by two gauges separated by a quarter of a wavelength [length].

Symbol: H_i

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Incident Wave Height

Horizontal Ordinate

Horizontal Ordinate refers to the distance measured horizontally from a reference point or axis.

Symbol: x

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Horizontal Ordinate

Incident Wave Length in Deepwater

Incident Wave Length in Deepwater is the wave length of the wave that travels from the generating source towards the load.

Symbol: L_o

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Incident Wave Length in Deepwater

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)

acos

The inverse cosine function, is the inverse function of the cosine function. It is the function that takes a ratio as an input and returns the angle whose cosine is equal to that ratio.

Syntax: acos(Number)

Other formulas in Wave Transmission Coefficient and Water Surface Amplitude category

Go Wave Transmission Coefficient

C t = C \cdot (1 - (\frac{F}{R}))

Go Dimensionless Coefficient in Seelig Equation for Wave Transmission Coefficient

C = \frac{C t}{1 - (\frac{F}{R})}

Go Freeboard for given Wave Transmission Coefficient

F = R \cdot (1 - (\frac{C t}{C}))

Go Wave Runup above Mean Water Level for given Wave Transmission Coefficient

R = \frac{F}{1 - (\frac{C t}{C})}

How to Evaluate Time Elapsed given Water Surface Amplitude?

Time Elapsed given Water Surface Amplitude evaluator uses Time Elapsed = Reflected Wave Period*(acos(Water Surface Amplitude/(Incident Wave Height*cos((2*pi*Horizontal Ordinate)/Incident Wave Length in Deepwater))))/(2*pi) to evaluate the Time Elapsed, Time Elapsed given Water Surface Amplitude is defined as parameter influenced from profile view of water surface envelope positions for wave reflecting from wall that has reflection coefficient equal to unity. Time Elapsed is denoted by t symbol.

How to evaluate Time Elapsed given Water Surface Amplitude using this online evaluator? To use this online evaluator for Time Elapsed given Water Surface Amplitude, enter Reflected Wave Period (T), Water Surface Amplitude (N), Incident Wave Height (H_i), Horizontal Ordinate (x) & Incident Wave Length in Deepwater (L_o) and hit the calculate button.

FAQs on Time Elapsed given Water Surface Amplitude

What is the formula to find Time Elapsed given Water Surface Amplitude?

The formula of Time Elapsed given Water Surface Amplitude is expressed as Time Elapsed = Reflected Wave Period*(acos(Water Surface Amplitude/(Incident Wave Height*cos((2*pi*Horizontal Ordinate)/Incident Wave Length in Deepwater))))/(2*pi). Here is an example- 11.99959 = 34*(acos(78.78/(160*cos((2*pi*38.5)/16))))/(2*pi).

How to calculate Time Elapsed given Water Surface Amplitude?

With Reflected Wave Period (T), Water Surface Amplitude (N), Incident Wave Height (H_i), Horizontal Ordinate (x) & Incident Wave Length in Deepwater (L_o) we can find Time Elapsed given Water Surface Amplitude using the formula - Time Elapsed = Reflected Wave Period*(acos(Water Surface Amplitude/(Incident Wave Height*cos((2*pi*Horizontal Ordinate)/Incident Wave Length in Deepwater))))/(2*pi). This formula also uses Archimedes' constant and , Cosine (cos), Inverse Cosine (acos) function(s).

Can the Time Elapsed given Water Surface Amplitude be negative?

No, the Time Elapsed given Water Surface Amplitude, measured in Time cannot be negative.

Which unit is used to measure Time Elapsed given Water Surface Amplitude?

Time Elapsed given Water Surface Amplitude is usually measured using the Second[s] for Time. Millisecond[s], Microsecond[s], Nanosecond[s] are the few other units in which Time Elapsed given Water Surface Amplitude can be measured.

Let Others Know

✖

Facebook

Twitter

Copied!

: Value
: Unit

Time Elapsed given Water Surface Amplitude Formula

Time Elapsed given Water Surface Amplitude Example

Time Elapsed given Water Surface Amplitude Solution

Time Elapsed given Water Surface Amplitude Formula Elements

Other formulas in Wave Transmission Coefficient and Water Surface Amplitude category

How to Evaluate Time Elapsed given Water Surface Amplitude?

FAQs on Time Elapsed given Water Surface Amplitude

Variable Name