Time Elapsed given Water Surface Amplitude Calculator

✖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 [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%

✖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 given Water Surface Amplitude [t]

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Time Elapsed given Water Surface Amplitude Solution

STEP 0: Pre-Calculation Summary

Formula Used

Time Elapsed = Reflected Wave Period*(acos(Water Surface Amplitude/(Incident Wave Height*cos((2*pi*Horizontal Ordinate)/Incident Wave Length in Deepwater))))/(2*pi)
t = T*(acos(N/(H_i*cos((2*pi*x)/L_o))))/(2*pi)
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

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.
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).
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

Reflected Wave Period: 34 Second --> 34 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 = T*(acos(N/(H_i*cos((2*pi*x)/L_o))))/(2*pi) --> 34*(acos(78.78/(160*cos((2*pi*38.5)/16))))/(2*pi)

Evaluating ... ...

t = 11.9294157534523

STEP 3: Convert Result to Output's Unit

11.9294157534523 Second --> No Conversion Required

FINAL ANSWER

11.9294157534523 ≈ 11.92942 Second <-- Time Elapsed

(Calculation completed in 00.004 seconds)

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Coorg Institute of Technology (CIT), Coorg

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< Wave Transmission Coefficient and Water Surface Amplitude Calculators

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Time Elapsed given Water Surface Amplitude Formula

LaTeX Go

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 Time Elapsed given Water Surface Amplitude?

Time Elapsed given Water Surface Amplitude calculator 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 calculate 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 calculate Time Elapsed given Water Surface Amplitude using this online calculator? To use this online calculator 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. Here is how the Time Elapsed given Water Surface Amplitude calculation can be explained with given input values -> 11.99959 = 34*(acos(78.78/(160*cos((2*pi*38.5)/16))))/(2*pi).

FAQ

What is Time Elapsed given Water Surface Amplitude?

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 and is represented as t = T*(acos(N/(H_i*cos((2*pi*x)/L_o))))/(2*pi) or Time Elapsed = Reflected Wave Period*(acos(Water Surface Amplitude/(Incident Wave Height*cos((2*pi*Horizontal Ordinate)/Incident Wave Length in Deepwater))))/(2*pi). 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), 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 Time Elapsed given Water Surface Amplitude?

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 is calculated using 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 calculate Time Elapsed given Water Surface Amplitude, you need Reflected Wave Period (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 Reflected Wave Period, 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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