Wavelength for Pressure Response Factor at bottom Solution

STEP 0: Pre-Calculation Summary
Formula Used
Wavelength = 2*pi*Water Depth/(acosh(1/Pressure Factor))
λ = 2*pi*d/(acosh(1/K))
This formula uses 1 Constants, 2 Functions, 3 Variables
Constants Used
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288
Functions Used
cosh - The hyperbolic cosine function is a mathematical function that is defined as the ratio of the sum of the exponential functions of x and negative x to 2., cosh(Number)
acosh - Hyperbolic cosine function, is a function that takes a real number as an input and returns the angle whose hyperbolic cosine is that number., acosh(Number)
Variables Used
Wavelength - (Measured in Meter) - Wavelength can be defined as the distance between two successive crests or troughs of a wave.
Water Depth - (Measured in Meter) - Water Depth of the considered catchment. Water depth means the depth as measured from the water level to the bottom of the considered water body.
Pressure Factor - Pressure Factor is the Pressure Response Factor obtained from linear theory and takes into account pressure due to wave motion.
STEP 1: Convert Input(s) to Base Unit
Water Depth: 1.05 Meter --> 1.05 Meter No Conversion Required
Pressure Factor: 0.9 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
λ = 2*pi*d/(acosh(1/K)) --> 2*pi*1.05/(acosh(1/0.9))
Evaluating ... ...
λ = 14.1226818681442
STEP 3: Convert Result to Output's Unit
14.1226818681442 Meter --> No Conversion Required
FINAL ANSWER
14.1226818681442 14.12268 Meter <-- Wavelength
(Calculation completed in 00.020 seconds)

Credits

Created by Mithila Muthamma PA
Coorg Institute of Technology (CIT), Coorg
Mithila Muthamma PA has created this Calculator and 2000+ more calculators!
Verified by M Naveen
National Institute of Technology (NIT), Warangal
M Naveen has verified this Calculator and 900+ more calculators!

7 Pressure Reference Factor Calculators

Pressure taken as Gauge Pressure relative to Wave Mechanics
Go Sub Surface Pressure = (Mass Density*[g]*Wave Height*cosh(2*pi*(Distance above the Bottom)/Wavelength))*cos(Phase Angle)/(2*cosh(2*pi*Water Depth/Wavelength))-(Mass Density*[g]*Seabed Elevation)
Pressure Reference Factor given Height of Surface Waves based on Subsurface Measurements
Go Pressure Factor = Correction Factor*(Sub Surface Pressure+(Mass Density*[g]*Depth below the SWL of Pressure Gauge))/(Elevation of Water Surface*Mass Density*[g])
Pressure given Height of Surface Waves based on Subsurface Measurements
Go Sub Surface Pressure = ((Elevation of Water Surface*Mass Density*[g]*Pressure Factor)/Correction Factor)-(Mass Density*[g]*Depth below the SWL of Pressure Gauge)
Pressure Reference Factor
Go Pressure Factor = cosh(2*pi*(Distance above the Bottom)/Wavelength)/(cosh(2*pi*Water Depth/Wavelength))
Pressure given Pressure Response Factor
Go Sub Surface Pressure = Mass Density*[g]*(((Wave Height/2)*cos(Phase Angle)*Pressure Factor)-Seabed Elevation)
Wavelength for Pressure Response Factor at bottom
Go Wavelength = 2*pi*Water Depth/(acosh(1/Pressure Factor))
Pressure response factor at bottom
Go Pressure Factor = 1/cosh(2*pi*Water Depth/Wavelength)

Wavelength for Pressure Response Factor at bottom Formula

Wavelength = 2*pi*Water Depth/(acosh(1/Pressure Factor))
λ = 2*pi*d/(acosh(1/K))

What is Pressure Response Factor?

The Pressure Response Factor at the bottom is defined as a response factor obtained from linear theory and takes into account pressure due to wave motion.

How to Calculate Wavelength for Pressure Response Factor at bottom?

Wavelength for Pressure Response Factor at bottom calculator uses Wavelength = 2*pi*Water Depth/(acosh(1/Pressure Factor)) to calculate the Wavelength, The Wavelength for Pressure Response Factor at bottom is distance between corresponding points of two consecutive waves. “Corresponding points” refers to two points or particles in same phase i.e., points that have completed identical fractions of their periodic motion. Wavelength is denoted by λ symbol.

How to calculate Wavelength for Pressure Response Factor at bottom using this online calculator? To use this online calculator for Wavelength for Pressure Response Factor at bottom, enter Water Depth (d) & Pressure Factor (K) and hit the calculate button. Here is how the Wavelength for Pressure Response Factor at bottom calculation can be explained with given input values -> 13.45017 = 2*pi*1.05/(acosh(1/0.9)).

FAQ

What is Wavelength for Pressure Response Factor at bottom?
The Wavelength for Pressure Response Factor at bottom is distance between corresponding points of two consecutive waves. “Corresponding points” refers to two points or particles in same phase i.e., points that have completed identical fractions of their periodic motion and is represented as λ = 2*pi*d/(acosh(1/K)) or Wavelength = 2*pi*Water Depth/(acosh(1/Pressure Factor)). Water Depth of the considered catchment. Water depth means the depth as measured from the water level to the bottom of the considered water body & Pressure Factor is the Pressure Response Factor obtained from linear theory and takes into account pressure due to wave motion.
How to calculate Wavelength for Pressure Response Factor at bottom?
The Wavelength for Pressure Response Factor at bottom is distance between corresponding points of two consecutive waves. “Corresponding points” refers to two points or particles in same phase i.e., points that have completed identical fractions of their periodic motion is calculated using Wavelength = 2*pi*Water Depth/(acosh(1/Pressure Factor)). To calculate Wavelength for Pressure Response Factor at bottom, you need Water Depth (d) & Pressure Factor (K). With our tool, you need to enter the respective value for Water Depth & Pressure Factor and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
Let Others Know
Facebook
Twitter
Reddit
LinkedIn
Email
WhatsApp
Copied!