Wavelength for Pressure Response Factor at bottom Calculator

✖Water Depth is vertical distance from the surface of a body of water to its bottom, it is a critical parameter for understanding the characteristics and behaviors of the marine environment.ⓘ Water Depth [d]			+10% -10%
✖Pressure Factor is a dimensionless coefficient used to describe the effect of various factors on subsurface pressure. It is particularly significant in the analysis of wave pressure.ⓘ Pressure Factor [K]			+10% -10%

✖Wavelength is the distance between successive peaks or troughs of a wave. It is crucial in understanding the behavior of waves, particularly in relation to subsurface pressure.ⓘ Wavelength for Pressure Response Factor at bottom [λ]

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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 is the distance between successive peaks or troughs of a wave. It is crucial in understanding the behavior of waves, particularly in relation to subsurface pressure.
Water Depth - (Measured in Meter) - Water Depth is vertical distance from the surface of a body of water to its bottom, it is a critical parameter for understanding the characteristics and behaviors of the marine environment.
Pressure Factor - Pressure Factor is a dimensionless coefficient used to describe the effect of various factors on subsurface pressure. It is particularly significant in the analysis of wave pressure.

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 00.004 seconds)

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Created by Mithila Muthamma PA

Coorg Institute of Technology (CIT), Coorg

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National Institute of Technology (NIT), Warangal

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< Pressure Reference Factor Calculators

Pressure taken as Gauge Pressure relative to Wave Mechanics

LaTeX Go Sub Surface Pressure = (Mass Density*[g]*Wave Height*cosh(2*pi*(Upper Bottom Distance)/Wavelength))*cos(Phase Angle)/(2*cosh(2*pi*Water Depth/Wavelength))-(Mass Density*[g]*Seabed Elevation)

Pressure Reference Factor

LaTeX Go Pressure Factor = cosh(2*pi*(Distance above the Bottom)/Wavelength)/(cosh(2*pi*Water Depth/Wavelength))

Pressure given Pressure Response Factor

LaTeX Go Pressure = Mass Density*[g]*(((Wave Height/2)*cos(Phase Angle)*Pressure Response Factor)-Seabed Elevation)

Pressure Response Factor at Bottom

LaTeX Go Pressure Factor = 1/cosh(2*pi*Water Depth/Wavelength)

Wavelength for Pressure Response Factor at bottom Formula

LaTeX Go

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 Formula is defined as the 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 -> 14.12268 = 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 Formula is defined as the 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 is vertical distance from the surface of a body of water to its bottom, it is a critical parameter for understanding the characteristics and behaviors of the marine environment & Pressure Factor is a dimensionless coefficient used to describe the effect of various factors on subsurface pressure. It is particularly significant in the analysis of wave pressure.

How to calculate Wavelength for Pressure Response Factor at bottom?

The Wavelength for Pressure Response Factor at bottom Formula is defined as the 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.

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