Wave Height given Potential Energy per unit Length of Wave Crest Solution

STEP 0: Pre-Calculation Summary
Formula Used
Wave Height = sqrt(Potential Energy/((1/16)*Mass Density*[g]*Wavelength))
H = sqrt(PE/((1/16)*ρ*[g]*λ))
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
Wave Height - (Measured in Meter) - Wave Height of a surface wave is the difference between the elevations of a crest and a neighboring trough.
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.
Mass Density - (Measured in Kilogram per Cubic Meter) - The Mass Density of a substance is its mass per unit volume.
Wavelength - (Measured in Meter) - Wavelength is the distance between identical points (adjacent crests) in the adjacent cycles of a waveform signal propagated in space or along a wire.
STEP 1: Convert Input(s) to Base Unit
Potential Energy: 4 Joule --> 4 Joule No Conversion Required
Mass Density: 997 Kilogram per Cubic Meter --> 997 Kilogram per Cubic Meter No Conversion Required
Wavelength: 2.1 Nanometer --> 2.1E-09 Meter (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
H = sqrt(PE/((1/16)*ρ*[g]*λ)) --> sqrt(4/((1/16)*997*[g]*2.1E-09))
Evaluating ... ...
H = 1765.51910978572
STEP 3: Convert Result to Output's Unit
1765.51910978572 Meter --> No Conversion Required
FINAL ANSWER
1765.51910978572 1765.519 Meter <-- Wave Height
(Calculation completed in 00.004 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!

6 Energy per unit Length of Wave Crest Calculators

Wave Height given Kinetic Energy per unit Length of Wave Crest
Go Wave Height = sqrt(Kinetic Energy of Wave Crest/((1/16)*Mass Density*[g]*Wavelength))
Wave Height given Potential Energy per unit Length of Wave Crest
Go Wave Height = sqrt(Potential Energy/((1/16)*Mass Density*[g]*Wavelength))
Wavelength for Kinetic Energy per unit Length of Wave Crest
Go Wavelength = Kinetic Energy of Wave Crest/((1/16)*Mass Density*[g]*Wave Height^2)
Kinetic Energy per unit Length of Wave Crest
Go Kinetic Energy of Wave Crest = (1/16)*Mass Density*[g]*Wave Height^2*Wavelength
Wavelength given Potential Energy per unit Length of Wave Crest
Go Wavelength = Potential Energy/((1/16)*Mass Density*[g]*Wave Height^2)
Potential Energy per unit Length of Wave Crest
Go Potential Energy = (1/16)*Mass Density*[g]*Wave Height^2*Wavelength

Wave Height given Potential Energy per unit Length of Wave Crest Formula

Wave Height = sqrt(Potential Energy/((1/16)*Mass Density*[g]*Wavelength))
H = sqrt(PE/((1/16)*ρ*[g]*λ))

What is potential energy of wave?

The potential energy associated with a wavelength of the wave is equal to the kinetic energy associated with a wavelength. The total energy associated with a wavelength is the sum of the potential energy and the kinetic energy

How to Calculate Wave Height given Potential Energy per unit Length of Wave Crest?

Wave Height given Potential Energy per unit Length of Wave Crest calculator uses Wave Height = sqrt(Potential Energy/((1/16)*Mass Density*[g]*Wavelength)) to calculate the Wave Height, Wave Height given Potential Energy per unit Length of Wave Crest of surface wave is difference between elevations of crest and neighboring trough. Wave height is term used by mariners, as well as in coastal, ocean and naval engineering. Wave Height is denoted by H symbol.

How to calculate Wave Height given Potential Energy per unit Length of Wave Crest using this online calculator? To use this online calculator for Wave Height given Potential Energy per unit Length of Wave Crest, enter Potential Energy (PE), Mass Density (ρ) & Wavelength (λ) and hit the calculate button. Here is how the Wave Height given Potential Energy per unit Length of Wave Crest calculation can be explained with given input values -> 1765.519 = sqrt(4/((1/16)*997*[g]*2.1E-09)).

FAQ

What is Wave Height given Potential Energy per unit Length of Wave Crest?
Wave Height given Potential Energy per unit Length of Wave Crest of surface wave is difference between elevations of crest and neighboring trough. Wave height is term used by mariners, as well as in coastal, ocean and naval engineering and is represented as H = sqrt(PE/((1/16)*ρ*[g]*λ)) or Wave Height = sqrt(Potential Energy/((1/16)*Mass Density*[g]*Wavelength)). Potential Energy is the energy that is stored in an object due to its position relative to some zero position, The Mass Density of a substance is its mass per unit volume & Wavelength is the distance between identical points (adjacent crests) in the adjacent cycles of a waveform signal propagated in space or along a wire.
How to calculate Wave Height given Potential Energy per unit Length of Wave Crest?
Wave Height given Potential Energy per unit Length of Wave Crest of surface wave is difference between elevations of crest and neighboring trough. Wave height is term used by mariners, as well as in coastal, ocean and naval engineering is calculated using Wave Height = sqrt(Potential Energy/((1/16)*Mass Density*[g]*Wavelength)). To calculate Wave Height given Potential Energy per unit Length of Wave Crest, you need Potential Energy (PE), Mass Density (ρ) & Wavelength (λ). With our tool, you need to enter the respective value for Potential Energy, Mass Density & Wavelength and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
How many ways are there to calculate Wave Height?
In this formula, Wave Height uses Potential Energy, Mass Density & Wavelength. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • Wave Height = sqrt(Kinetic Energy of Wave Crest/((1/16)*Mass Density*[g]*Wavelength))
Let Others Know
Facebook
Twitter
Reddit
LinkedIn
Email
WhatsApp
Copied!