Potential Energy per unit Length of Wave Crest Solution

STEP 0: Pre-Calculation Summary
Formula Used
Potential Energy = (1/16)*Mass Density*[g]*Wave Height^2*Wavelength
PE = (1/16)*ρ*[g]*H^2*λ
This formula uses 1 Constants, 4 Variables
Constants Used
[g] - Gravitational acceleration on Earth Value Taken As 9.80665
Variables Used
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.
Wave Height - (Measured in Meter) - Wave Height of a surface wave is the difference between the elevations of a crest and a neighboring trough.
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
Mass Density: 997 Kilogram per Cubic Meter --> 997 Kilogram per Cubic Meter No Conversion Required
Wave Height: 3 Meter --> 3 Meter No Conversion Required
Wavelength: 2.1 Nanometer --> 2.1E-09 Meter (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
PE = (1/16)*ρ*[g]*H^2*λ --> (1/16)*997*[g]*3^2*2.1E-09
Evaluating ... ...
PE = 1.15493529965625E-05
STEP 3: Convert Result to Output's Unit
1.15493529965625E-05 Joule --> No Conversion Required
FINAL ANSWER
1.15493529965625E-05 1.2E-5 Joule <-- Potential Energy
(Calculation completed in 00.004 seconds)

Credits

Created by Mithila Muthamma PA
Coorg Institute of Technology (CIT), Coorg
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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

Potential Energy per unit Length of Wave Crest Formula

Potential Energy = (1/16)*Mass Density*[g]*Wave Height^2*Wavelength
PE = (1/16)*ρ*[g]*H^2*λ

What is Wavelength?

Wavelength, distance between corresponding points of two consecutive waves. “Corresponding points” refers to two points or particles in the same phase i.e., points that have completed identical fractions of their periodic motion.

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

Potential Energy per unit Length of Wave Crest calculator uses Potential Energy = (1/16)*Mass Density*[g]*Wave Height^2*Wavelength to calculate the Potential Energy, The Potential Energy per unit Length of Wave Crest is defined as that part of the energy resulting from part of the fluid mass being above the trough. Potential Energy is denoted by PE symbol.

How to calculate Potential Energy per unit Length of Wave Crest using this online calculator? To use this online calculator for Potential Energy per unit Length of Wave Crest, enter Mass Density (ρ), Wave Height (H) & Wavelength (λ) and hit the calculate button. Here is how the Potential Energy per unit Length of Wave Crest calculation can be explained with given input values -> 1.2E-5 = (1/16)*997*[g]*3^2*2.1E-09.

FAQ

What is Potential Energy per unit Length of Wave Crest?
The Potential Energy per unit Length of Wave Crest is defined as that part of the energy resulting from part of the fluid mass being above the trough and is represented as PE = (1/16)*ρ*[g]*H^2*λ or Potential Energy = (1/16)*Mass Density*[g]*Wave Height^2*Wavelength. The Mass Density of a substance is its mass per unit volume, Wave Height of a surface wave is the difference between the elevations of a crest and a neighboring trough & 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 Potential Energy per unit Length of Wave Crest?
The Potential Energy per unit Length of Wave Crest is defined as that part of the energy resulting from part of the fluid mass being above the trough is calculated using Potential Energy = (1/16)*Mass Density*[g]*Wave Height^2*Wavelength. To calculate Potential Energy per unit Length of Wave Crest, you need Mass Density (ρ), Wave Height (H) & Wavelength (λ). With our tool, you need to enter the respective value for Mass Density, Wave Height & Wavelength 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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