Surface elevation given potential energy due to deformation of free surface Solution

STEP 0: Pre-Calculation Summary
Formula Used
Surface Elevation = sqrt((2*Potential Energy)/Density of Fluid*[g]*Length)
η = sqrt((2*PE)/ρfluid*[g]*L)
This formula uses 1 Constants, 1 Functions, 4 Variables
Constants Used
[g] - Gravitational acceleration on Earth Value Taken As 9.80665
Functions Used
sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)
Variables Used
Surface Elevation - (Measured in Meter) - Surface Elevation measured is the elevation of a geographic location is its height above or below a fixed reference point.
Potential Energy - (Measured in Joule) - Potential Energy is the energy that is stored in an object due to its position relative to some zero position.
Density of Fluid - (Measured in Kilogram per Cubic Meter) - Density of Fluid is defined as the mass of fluid per unit volume of the said fluid.
Length - (Measured in Meter) - Length is the measurement or extent of something from end to end.
STEP 1: Convert Input(s) to Base Unit
Potential Energy: 4 Joule --> 4 Joule No Conversion Required
Density of Fluid: 1.225 Kilogram per Cubic Meter --> 1.225 Kilogram per Cubic Meter No Conversion Required
Length: 3 Meter --> 3 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
η = sqrt((2*PE)/ρfluid*[g]*L) --> sqrt((2*4)/1.225*[g]*3)
Evaluating ... ...
η = 13.8611069440462
STEP 3: Convert Result to Output's Unit
13.8611069440462 Meter --> No Conversion Required
FINAL ANSWER
13.8611069440462 13.86111 Meter <-- Surface Elevation
(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 Chandana P Dev
NSS College of Engineering (NSSCE), Palakkad
Chandana P Dev has verified this Calculator and 1700+ more calculators!

6 Potential Energy Calculators

Wave Height given Potential Energy per Unit Width in One Wave
Go Wave Height = sqrt(Potential Energy/0.0625*Density of Fluid*[g]*Wavelength)
Surface elevation given potential energy due to deformation of free surface
Go Surface Elevation = sqrt((2*Potential Energy)/Density of Fluid*[g]*Length)
Wavelength for potential energy per unit width in one wave
Go Wavelength = Potential Energy/(0.0625*Density of Fluid*[g]*Wave Height^2)
Potential Energy per unit width in one wave
Go Potential Energy = (1/16)*Density of Fluid*[g]*(Wave Height^2)*Wavelength
Length given potential energy due to deformation of free surface
Go Length = (2*Potential Energy)/(Density of Fluid*[g]*Surface Elevation^2)
Potential energy due to deformation of free surface
Go Potential Energy = (Density of Fluid*[g]*Surface Elevation^2*Length)/2

Surface elevation given potential energy due to deformation of free surface Formula

Surface Elevation = sqrt((2*Potential Energy)/Density of Fluid*[g]*Length)
η = sqrt((2*PE)/ρfluid*[g]*L)

Do waves have potential energy?

When particles in water become part of a wave, they start to move up or down. This means that some of their kinetic energy has been converted into potential energy – the energy of particles in a wave oscillates between kinetic and potential energy.

How to Calculate Surface elevation given potential energy due to deformation of free surface?

Surface elevation given potential energy due to deformation of free surface calculator uses Surface Elevation = sqrt((2*Potential Energy)/Density of Fluid*[g]*Length) to calculate the Surface Elevation, Surface elevation given potential energy due to deformation of free surface is defined as elevation of geographic location is its height above or below fixed reference point. Surface Elevation is denoted by η symbol.

How to calculate Surface elevation given potential energy due to deformation of free surface using this online calculator? To use this online calculator for Surface elevation given potential energy due to deformation of free surface, enter Potential Energy (PE), Density of Fluid fluid) & Length (L) and hit the calculate button. Here is how the Surface elevation given potential energy due to deformation of free surface calculation can be explained with given input values -> 13.86111 = sqrt((2*4)/1.225*[g]*3).

FAQ

What is Surface elevation given potential energy due to deformation of free surface?
Surface elevation given potential energy due to deformation of free surface is defined as elevation of geographic location is its height above or below fixed reference point and is represented as η = sqrt((2*PE)/ρfluid*[g]*L) or Surface Elevation = sqrt((2*Potential Energy)/Density of Fluid*[g]*Length). Potential Energy is the energy that is stored in an object due to its position relative to some zero position, Density of Fluid is defined as the mass of fluid per unit volume of the said fluid & Length is the measurement or extent of something from end to end.
How to calculate Surface elevation given potential energy due to deformation of free surface?
Surface elevation given potential energy due to deformation of free surface is defined as elevation of geographic location is its height above or below fixed reference point is calculated using Surface Elevation = sqrt((2*Potential Energy)/Density of Fluid*[g]*Length). To calculate Surface elevation given potential energy due to deformation of free surface, you need Potential Energy (PE), Density of Fluid fluid) & Length (L). With our tool, you need to enter the respective value for Potential Energy, Density of Fluid & Length 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!