Root-mean-square Wave Height at Breaking given Longshore Current at Mid-Surf Zone Solution

STEP 0: Pre-Calculation Summary
Formula Used
Root-mean-square Wave Height = ((Longshore Current at the Mid-Surf Zone/(1.17*sin(Wave Crest Angle)*cos(Wave Crest Angle)))^0.5)/[g]
Hrms = ((Vmid/(1.17*sin(α)*cos(α)))^0.5)/[g]
This formula uses 1 Constants, 2 Functions, 3 Variables
Constants Used
[g] - Gravitational acceleration on Earth Value Taken As 9.80665
Functions Used
sin - Sine is a trigonometric function that describes the ratio of the length of the opposite side of a right triangle to the length of the hypotenuse., sin(Angle)
cos - Cosine of an angle is the ratio of the side adjacent to the angle to the hypotenuse of the triangle., cos(Angle)
Variables Used
Root-mean-square Wave Height - (Measured in Meter) - Root-mean-square Wave Height is defined as square root of the average of the squares of all wave heights.
Longshore Current at the Mid-Surf Zone - (Measured in Meter per Second) - Longshore Current at the Mid-Surf Zone where this current is generated when a train of waves reach the coastline and releases bursts of energy.
Wave Crest Angle - (Measured in Radian) - Wave Crest Angle relative to bottom contours.
STEP 1: Convert Input(s) to Base Unit
Longshore Current at the Mid-Surf Zone: 12.5 Meter per Second --> 12.5 Meter per Second No Conversion Required
Wave Crest Angle: 60 Degree --> 1.0471975511964 Radian (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Hrms = ((Vmid/(1.17*sin(α)*cos(α)))^0.5)/[g] --> ((12.5/(1.17*sin(1.0471975511964)*cos(1.0471975511964)))^0.5)/[g]
Evaluating ... ...
Hrms = 0.506513566508595
STEP 3: Convert Result to Output's Unit
0.506513566508595 Meter --> No Conversion Required
FINAL ANSWER
0.506513566508595 0.506514 Meter <-- Root-mean-square Wave Height
(Calculation completed in 00.004 seconds)

Credits

Created by Mithila Muthamma PA
Coorg Institute of Technology (CIT), Coorg
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7 Longshore Current Calculators

Longshore Current Speed
Go Longshore Current Speed = (5*pi/16)*tan(Modified Beach Slope)*Breaker Depth Index*sqrt([g]*Water Depth)*sin(Wave Crest Angle)*cos(Wave Crest Angle)/Bottom Friction Coefficient
Ratio of Wave Group Speed and Phase Speed
Go Ratio of Wave Group Speed and Phase Speed = (Radiation Stress Component*8)/(Mass Density*[g]*Wave Height^2*cos(Wave Crest Angle)*sin(Wave Crest Angle))
Radiation Stress Component
Go Radiation Stress Component = (Ratio of Wave Group Speed and Phase Speed/8)*Mass Density*[g]*(Wave Height^2)*cos(Wave Crest Angle)*sin(Wave Crest Angle)
Wave Height given Radiation Stress Component
Go Wave Height = sqrt((Radiation Stress Component*8)/Mass Density*[g]*cos(Wave Crest Angle)*sin(Wave Crest Angle))
Longshore Current at Mid-Surf Zone
Go Longshore Current at the Mid-Surf Zone = 1.17*sqrt([g]*Root-mean-square Wave Height)*sin(Wave Crest Angle)*cos(Wave Crest Angle)
Root-mean-square Wave Height at Breaking given Longshore Current at Mid-Surf Zone
Go Root-mean-square Wave Height = ((Longshore Current at the Mid-Surf Zone/(1.17*sin(Wave Crest Angle)*cos(Wave Crest Angle)))^0.5)/[g]
Beach Slope modified for Wave Setup
Go Modified Beach Slope = atan(tan(Beach Slope)/(1+(3*Breaker Depth Index^2/8)))

Root-mean-square Wave Height at Breaking given Longshore Current at Mid-Surf Zone Formula

Root-mean-square Wave Height = ((Longshore Current at the Mid-Surf Zone/(1.17*sin(Wave Crest Angle)*cos(Wave Crest Angle)))^0.5)/[g]
Hrms = ((Vmid/(1.17*sin(α)*cos(α)))^0.5)/[g]

What is Longshore drift?

Longshore drift from longshore current is a geological process that consists of the transportation of sediments along a coast parallel to the shoreline, which is dependent on oblique incoming wave direction.

How to Calculate Root-mean-square Wave Height at Breaking given Longshore Current at Mid-Surf Zone?

Root-mean-square Wave Height at Breaking given Longshore Current at Mid-Surf Zone calculator uses Root-mean-square Wave Height = ((Longshore Current at the Mid-Surf Zone/(1.17*sin(Wave Crest Angle)*cos(Wave Crest Angle)))^0.5)/[g] to calculate the Root-mean-square Wave Height, The Root-mean-square Wave Height at Breaking given Longshore Current at Mid-Surf Zone formula is defined as square root of the average of the squares of all wave heights, is approximately equal to Hs divided by 1.4. Root-mean-square Wave Height is denoted by Hrms symbol.

How to calculate Root-mean-square Wave Height at Breaking given Longshore Current at Mid-Surf Zone using this online calculator? To use this online calculator for Root-mean-square Wave Height at Breaking given Longshore Current at Mid-Surf Zone, enter Longshore Current at the Mid-Surf Zone (Vmid) & Wave Crest Angle (α) and hit the calculate button. Here is how the Root-mean-square Wave Height at Breaking given Longshore Current at Mid-Surf Zone calculation can be explained with given input values -> 0.506514 = ((12.5/(1.17*sin(1.0471975511964)*cos(1.0471975511964)))^0.5)/[g].

FAQ

What is Root-mean-square Wave Height at Breaking given Longshore Current at Mid-Surf Zone?
The Root-mean-square Wave Height at Breaking given Longshore Current at Mid-Surf Zone formula is defined as square root of the average of the squares of all wave heights, is approximately equal to Hs divided by 1.4 and is represented as Hrms = ((Vmid/(1.17*sin(α)*cos(α)))^0.5)/[g] or Root-mean-square Wave Height = ((Longshore Current at the Mid-Surf Zone/(1.17*sin(Wave Crest Angle)*cos(Wave Crest Angle)))^0.5)/[g]. Longshore Current at the Mid-Surf Zone where this current is generated when a train of waves reach the coastline and releases bursts of energy & Wave Crest Angle relative to bottom contours.
How to calculate Root-mean-square Wave Height at Breaking given Longshore Current at Mid-Surf Zone?
The Root-mean-square Wave Height at Breaking given Longshore Current at Mid-Surf Zone formula is defined as square root of the average of the squares of all wave heights, is approximately equal to Hs divided by 1.4 is calculated using Root-mean-square Wave Height = ((Longshore Current at the Mid-Surf Zone/(1.17*sin(Wave Crest Angle)*cos(Wave Crest Angle)))^0.5)/[g]. To calculate Root-mean-square Wave Height at Breaking given Longshore Current at Mid-Surf Zone, you need Longshore Current at the Mid-Surf Zone (Vmid) & Wave Crest Angle (α). With our tool, you need to enter the respective value for Longshore Current at the Mid-Surf Zone & Wave Crest Angle 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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