Reflected Wave Period given Water Surface Amplitude Formula

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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). Check FAQs
T=2πtacos(NHicos(2πxLo))
T - Reflected Wave Period?t - Time Elapsed?N - Water Surface Amplitude?Hi - Incident Wave Height?x - Horizontal Ordinate?Lo - Incident Wave Length in Deepwater?π - Archimedes' constant?

Reflected Wave Period given Water Surface Amplitude Example

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Here is how the Reflected Wave Period given Water Surface Amplitude equation looks like with Values.

Here is how the Reflected Wave Period given Water Surface Amplitude equation looks like with Units.

Here is how the Reflected Wave Period given Water Surface Amplitude equation looks like.

34.2012Edit=23.141612Editacos(78.78Edit160Editcos(23.141638.5Edit16Edit))
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Reflected Wave Period given Water Surface Amplitude Solution

Follow our step by step solution on how to calculate Reflected Wave Period given Water Surface Amplitude?

FIRST Step Consider the formula
T=2πtacos(NHicos(2πxLo))
Next Step Substitute values of Variables
T=2π12sacos(78.78m160mcos(2π38.516m))
Next Step Substitute values of Constants
T=23.141612sacos(78.78m160mcos(23.141638.516m))
Next Step Prepare to Evaluate
T=23.141612acos(78.78160cos(23.141638.516))
Next Step Evaluate
T=34.2011719963676s
LAST Step Rounding Answer
T=34.2012s

Reflected Wave Period given Water Surface Amplitude Formula Elements

Variables
Constants
Functions
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.
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.
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.
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: Hi
Measurement: LengthUnit: m
Note: Value should be greater than 0.
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.
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: Lo
Measurement: LengthUnit: m
Note: Value should be greater than 0.
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

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​Go Dimensionless Coefficient in Seelig Equation for Wave Transmission Coefficient
C=Ct1-(FR)
​Go Freeboard for given Wave Transmission Coefficient
F=R(1-(CtC))
​Go Wave Runup above Mean Water Level for given Wave Transmission Coefficient
R=F1-(CtC)

How to Evaluate Reflected Wave Period given Water Surface Amplitude?

Reflected Wave Period given Water Surface Amplitude evaluator uses Reflected Wave Period = (2*pi*Time Elapsed)/(acos(Water Surface Amplitude/(Incident Wave Height*cos((2*pi*Horizontal Ordinate)/Incident Wave Length in Deepwater)))) to evaluate the Reflected Wave Period, Reflected Wave Period given Water Surface Amplitude is defined as the time interval between consecutive wave crests or troughs of the reflected wave, influenced by the amplitude and characteristics of the incident wave. Reflected Wave Period is denoted by T symbol.

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

FAQs on Reflected Wave Period given Water Surface Amplitude

What is the formula to find Reflected Wave Period given Water Surface Amplitude?
The formula of Reflected Wave Period given Water Surface Amplitude is expressed as Reflected Wave Period = (2*pi*Time Elapsed)/(acos(Water Surface Amplitude/(Incident Wave Height*cos((2*pi*Horizontal Ordinate)/Incident Wave Length in Deepwater)))). Here is an example- 34.20117 = (2*pi*12)/(acos(78.78/(160*cos((2*pi*38.5)/16)))).
How to calculate Reflected Wave Period given Water Surface Amplitude?
With Time Elapsed (t), Water Surface Amplitude (N), Incident Wave Height (Hi), Horizontal Ordinate (x) & Incident Wave Length in Deepwater (Lo) we can find Reflected Wave Period given Water Surface Amplitude using the formula - Reflected Wave Period = (2*pi*Time Elapsed)/(acos(Water Surface Amplitude/(Incident Wave Height*cos((2*pi*Horizontal Ordinate)/Incident Wave Length in Deepwater)))). This formula also uses Archimedes' constant and , Cosine (cos), Inverse Cosine (acos) function(s).
Can the Reflected Wave Period given Water Surface Amplitude be negative?
Yes, the Reflected Wave Period given Water Surface Amplitude, measured in Time can be negative.
Which unit is used to measure Reflected Wave Period given Water Surface Amplitude?
Reflected Wave Period 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 Reflected Wave Period given Water Surface Amplitude can be measured.
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