Reflected Wave Period Given Water Surface Amplitude Calculator

✖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.ⓘ Time Elapsed [t]			+10% -10%
✖Water Surface Amplitude is the maximum vertical distance between the highest and lowest points of a water surface wave.ⓘ Water Surface Amplitude [N]			+10% -10%
✖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].ⓘ Incident Wave Height [H_i]			+10% -10%
✖Horizontal Ordinate refers to the distance measured horizontally from a reference point or axis.ⓘ Horizontal Ordinate [x]			+10% -10%
✖Incident Wave Length in Deepwater is the wave length of the wave that travels from the generating source towards the load.ⓘ Incident Wave Length in Deepwater [L_o]			+10% -10%

✖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).ⓘ Reflected Wave Period Given Water Surface Amplitude [T]

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Formula

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Reflected Wave Period Given Water Surface Amplitude

Formula

`"T" = (2*pi*"t")/(acos("N"/("H"_{"i"}*cos((2*pi*"x")/"L"_{"o"}))))`

Example

`"34.20117s"=(2*pi*"12s")/(acos("78.78m"/("160m"*cos((2*pi*"38.5")/"16m"))))`

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Reflected Wave Period Given Water Surface Amplitude Solution

STEP 0: Pre-Calculation Summary

Formula Used

Reflected Wave Period = (2*pi*Time Elapsed)/(acos(Water Surface Amplitude/(Incident Wave Height*cos((2*pi*Horizontal Ordinate)/Incident Wave Length in Deepwater))))
T = (2*pi*t)/(acos(N/(H_i*cos((2*pi*x)/L_o))))
This formula uses 1 Constants, 2 Functions, 6 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Functions Used

cos - Cosine of an angle is the ratio of the side adjacent to the angle to the hypotenuse of the triangle., 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., acos(Number)

Variables Used

Reflected Wave Period - (Measured in Second) - 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).
Time Elapsed - (Measured in Second) - 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.
Water Surface Amplitude - (Measured in Meter) - Water Surface Amplitude is the maximum vertical distance between the highest and lowest points of a water surface wave.
Incident Wave Height - (Measured in Meter) - 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].
Horizontal Ordinate - Horizontal Ordinate refers to the distance measured horizontally from a reference point or axis.
Incident Wave Length in Deepwater - (Measured in Meter) - Incident Wave Length in Deepwater is the wave length of the wave that travels from the generating source towards the load.

STEP 1: Convert Input(s) to Base Unit

Time Elapsed: 12 Second --> 12 Second No Conversion Required
Water Surface Amplitude: 78.78 Meter --> 78.78 Meter No Conversion Required
Incident Wave Height: 160 Meter --> 160 Meter No Conversion Required
Horizontal Ordinate: 38.5 --> No Conversion Required
Incident Wave Length in Deepwater: 16 Meter --> 16 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

T = (2*pi*t)/(acos(N/(H_i*cos((2*pi*x)/L_o)))) --> (2*pi*12)/(acos(78.78/(160*cos((2*pi*38.5)/16))))

Evaluating ... ...

T = 34.2011719963676

STEP 3: Convert Result to Output's Unit

34.2011719963676 Second --> No Conversion Required

FINAL ANSWER

34.2011719963676 ≈ 34.20117 Second <-- Reflected Wave Period

(Calculation completed in 00.004 seconds)

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Created by Mithila Muthamma PA

Coorg Institute of Technology (CIT), Coorg

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< 14 Wave Transmission Coefficient and Water Surface Amplitude Calculators

Reflected Wave Period Given Water Surface Amplitude

Go Reflected Wave Period = (2*pi*Time Elapsed)/(acos(Water Surface Amplitude/(Incident Wave Height*cos((2*pi*Horizontal Ordinate)/Incident Wave Length in Deepwater))))

Time Elapsed given Water Surface Amplitude

Go Time Elapsed = Reflected Wave Period*(acos(Water Surface Amplitude/(Incident Wave Height*cos((2*pi*Horizontal Ordinate)/Incident Wave Length in Deepwater))))/(2*pi)

Incident Wave Height Given Water Surface Amplitude

Go Incident Wave Height = Water Surface Amplitude/(cos((2*pi*Horizontal Ordinate)/Incident Wave Length in Deepwater)*cos((2*pi*Time Elapsed)/Reflected Wave Period))

Water Surface Amplitude

Go Water Surface Amplitude = Incident Wave Height*cos((2*pi*Horizontal Ordinate)/Incident Wave Length in Deepwater)*cos((2*pi*Time Elapsed)/Reflected Wave Period)

Surf Similarity Number or Iribarren Number

Go Surf Similarity Number or Iribarren Number = tan(Angle Sloped Plane Forms With The Horizontal)/sqrt(Incident Wave Height/Incident Wave Length in Deepwater)

Incident Wave Height Given Surf Similarity Number or Iribarren Number

Go Incident Wave Height = Incident Wave Length in Deepwater*(tan(Angle Sloped Plane Forms With The Horizontal)/Surf Similarity Number or Iribarren Number)^2

Coefficient for Wave Transmission through Structure given Combined Transmission Coefficient

Go Coefficient of Wave Transmission through Structure = sqrt(Wave Transmission Coefficient^2-Coefficient of Transmission Flow Over Structure^2)

Coefficient for Wave Transmission by Flow over Structure

Go Coefficient of Transmission Flow Over Structure = sqrt(Wave Transmission Coefficient^2-Coefficient of Wave Transmission through Structure^2)

Combined Wave Transmission Coefficient

Go Wave Transmission Coefficient = sqrt(Coefficient of Wave Transmission through Structure^2+Coefficient of Transmission Flow Over Structure^2)

Dimensionless Coefficient in Seelig Equation for Wave Transmission Coefficient

Go Dimensionless Coefficient in the Seelig Equation = Wave Transmission Coefficient/(1-(Freeboard/Wave Runup))

Wave Runup above Mean Water Level for Given Wave Transmission Coefficient

Go Wave Runup = Freeboard/(1-(Wave Transmission Coefficient/Dimensionless Coefficient in the Seelig Equation))

Freeboard for Given Wave Transmission Coefficient

Go Freeboard = Wave Runup*(1-(Wave Transmission Coefficient/Dimensionless Coefficient in the Seelig Equation))

Wave Transmission Coefficient

Go Wave Transmission Coefficient = Dimensionless Coefficient in the Seelig Equation*(1-(Freeboard/Wave Runup))

Dimensionless Coefficient in Seelig Equation

Go Dimensionless Coefficient in the Seelig Equation = 0.51-((0.11*Structure Crest Width)/Structure Crest Elevation)

Reflected Wave Period Given Water Surface Amplitude Formula

What causes most Surface Waves?

Waves are most commonly caused by wind. Wind-driven waves, or surface waves, are created by the friction between wind and surface water. As wind blows across the surface of the ocean or a lake, the continual disturbance creates a wave crest. The gravitational pull of the sun and moon on the earth also causes waves

How to Calculate Reflected Wave Period Given Water Surface Amplitude?

Reflected Wave Period Given Water Surface Amplitude calculator 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 calculate 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 calculate Reflected Wave Period Given Water Surface Amplitude using this online calculator? To use this online calculator for Reflected Wave Period Given Water Surface Amplitude, enter Time Elapsed (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. Here is how the Reflected Wave Period Given Water Surface Amplitude calculation can be explained with given input values -> 34.20117 = (2*pi*12)/(acos(78.78/(160*cos((2*pi*38.5)/16)))).

FAQ

What is Reflected Wave Period Given Water Surface Amplitude?

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 and is represented as T = (2*pi*t)/(acos(N/(H_i*cos((2*pi*x)/L_o)))) or Reflected Wave Period = (2*pi*Time Elapsed)/(acos(Water Surface Amplitude/(Incident Wave Height*cos((2*pi*Horizontal Ordinate)/Incident Wave Length in Deepwater)))). 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, Water Surface Amplitude is the maximum vertical distance between the highest and lowest points of a water surface wave, 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], Horizontal Ordinate refers to the distance measured horizontally from a reference point or axis & Incident Wave Length in Deepwater is the wave length of the wave that travels from the generating source towards the load.

How to calculate Reflected Wave Period Given Water Surface Amplitude?

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 is calculated using 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 calculate Reflected Wave Period Given Water Surface Amplitude, you need Time Elapsed (t), Water Surface Amplitude (N), Incident Wave Height (H_i), Horizontal Ordinate (x) & Incident Wave Length in Deepwater (L_o). With our tool, you need to enter the respective value for Time Elapsed, Water Surface Amplitude, Incident Wave Height, Horizontal Ordinate & Incident Wave Length in Deepwater and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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