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/Hi*cos(2*pi*x/Lo))
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 - Reflected Wave Period influencing the Water Surface Amplitude.
Time Elapsed - (Measured in Second) - Time elapsed after a particular task is started.
Water Surface Amplitude - (Measured in Meter) - Water Surface Amplitude [length] is dependent on the incidental wave height.
Incident Wave Height - (Measured in Meter) - Incident Wave Height is obtained as the arithmetic mean of the wave heights measured by two gauges separated a quarter of a wave length [length].
Horizontal Ordinate - Horizontal Ordinate influencing the Water Surface Amplitude.
Incident Wave Length in Deepwater - (Measured in Meter) - Incident Wave Length in Deepwater [length] 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: 113 Meter --> 113 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/Hi*cos(2*pi*x/Lo)) --> (2*pi*12)/acos(113/160*cos(2*pi*38.5/16))
Evaluating ... ...
T = 34.2965037041216
STEP 3: Convert Result to Output's Unit
34.2965037041216 --> No Conversion Required
FINAL ANSWER
34.2965037041216 34.2965 <-- Reflected Wave Period
(Calculation completed in 00.004 seconds)

Credits

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Coorg Institute of Technology (CIT), Coorg
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16 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))
Incident Wave Length given Water Surface Amplitude
Go Incident Wave Length in Deepwater = (2*pi*Horizontal Ordinate)/acos(Water Surface Amplitude/Incident Wave Height*cos(2*pi*Time Elapsed/Reflected Wave Period))
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))
Horizontal Ordinate given Water Surface Amplitude
Go Horizontal Ordinate = Incident Wave Length in Deepwater*acos(Water Surface Amplitude/Incident Wave Height*cos(2*pi*Time Elapsed/Reflected Wave Period))/2*pi
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 in Wave Transmission Coefficient
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

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/Hi*cos(2*pi*x/Lo))

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 one that moves away from boundary, but in same medium as incident wave influencing Water Surface Amplitude. 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 (Hi), Horizontal Ordinate (x) & Incident Wave Length in Deepwater (Lo) and hit the calculate button. Here is how the Reflected Wave Period given Water Surface Amplitude calculation can be explained with given input values -> 34.2965 = (2*pi*12)/acos(113/160*cos(2*pi*38.5/16)).

FAQ

What is Reflected Wave Period given Water Surface Amplitude?
Reflected Wave Period given Water Surface Amplitude is one that moves away from boundary, but in same medium as incident wave influencing Water Surface Amplitude and is represented as T = (2*pi*t)/acos(N/Hi*cos(2*pi*x/Lo)) 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 after a particular task is started, Water Surface Amplitude [length] is dependent on the incidental wave height, Incident Wave Height is obtained as the arithmetic mean of the wave heights measured by two gauges separated a quarter of a wave length [length], Horizontal Ordinate influencing the Water Surface Amplitude & Incident Wave Length in Deepwater [length] 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 one that moves away from boundary, but in same medium as incident wave influencing Water Surface Amplitude 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 (Hi), Horizontal Ordinate (x) & Incident Wave Length in Deepwater (Lo). 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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