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Wave Height given Kinetic Energy due to Particle Motion Formula

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Wave Height of a surface wave is the difference between the elevations of a crest and a neighboring trough. Check FAQs

H = \sqrt{\frac{KE}{0.0625 \cdot ρ \cdot [g] \cdot λ}}

H - Wave Height?KE - Kinetic Energy of Wave per Unit Width?ρ - Density of Fluid?λ - Wavelength?[g] - Gravitational acceleration on Earth?

Wave Height given Kinetic Energy due to Particle Motion Example

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Here is how the Wave Height given Kinetic Energy due to Particle Motion equation looks like with Values.

Here is how the Wave Height given Kinetic Energy due to Particle Motion equation looks like with Units.

Here is how the Wave Height given Kinetic Energy due to Particle Motion equation looks like.

3 = \sqrt{\frac{10.136}{0.0625 \cdot 1.225 \cdot 9.8066 \cdot 1.5}}

3m = \sqrt{\frac{10.136J}{0.0625 \cdot 1.225kg/m³ \cdot 9.8066m/s² \cdot 1.5m}}

3 = \sqrt{\frac{10.136}{0.0625 \cdot 1.225 \cdot 9.8066 \cdot 1.5}}

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Wave Height given Kinetic Energy due to Particle Motion Solution

Follow our step by step solution on how to calculate Wave Height given Kinetic Energy due to Particle Motion?

FIRST Step Consider the formula

H = \sqrt{\frac{KE}{0.0625 \cdot ρ \cdot [g] \cdot λ}}

Next Step Substitute values of Variables

∴

H = \sqrt{\frac{10.136J}{0.0625 \cdot 1.225kg/m³ \cdot [g] \cdot 1.5m}}

Next Step Substitute values of Constants

∴

H = \sqrt{\frac{10.136J}{0.0625 \cdot 1.225kg/m³ \cdot 9.8066m/s² \cdot 1.5m}}

Next Step Prepare to Evaluate

∴

H = \sqrt{\frac{10.136}{0.0625 \cdot 1.225 \cdot 9.8066 \cdot 1.5}}

Next Step Evaluate

∴

H = 2.9999863632879m

LAST Step Rounding Answer

∴

H = 3m

Wave Height given Kinetic Energy due to Particle Motion Formula Elements

Variables

Constants

Functions

Wave Height

Wave Height of a surface wave is the difference between the elevations of a crest and a neighboring trough.

Symbol: H

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Wave Height

Kinetic Energy of Wave per Unit Width

Kinetic Energy of Wave per Unit Width is the energy associated with the motion of water particles as the wave propagates through a medium.

Symbol: KE

Measurement: EnergyUnit: J

Note: Value should be greater than 0.

Formulas to find Kinetic Energy of Wave per Unit Width

Density of Fluid

Density of Fluid is the mass of fluid per unit volume of the fluid.

Symbol: ρ

Measurement: DensityUnit: kg/m³

Note: Value should be greater than 0.

Formulas to find Density of Fluid

Wavelength

Wavelength refers to the distance between successive crests or troughs of a wave.

Symbol: λ

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Wavelength

Gravitational acceleration on Earth

Gravitational acceleration on Earth means that the velocity of an object in free fall will increase by 9.8 m/s2 every second.

Symbol: [g]

Value: 9.80665 m/s²

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.

Syntax: sqrt(Number)

Other formulas in Kinetic Energy category

Go Kinetic Energy due to Particle Motion

KE = (\frac{1}{16}) \cdot ρ \cdot [g] \cdot (H^{2}) \cdot λ

Go Wavelength for Kinetic Energy due to Particle Motion

λ = \frac{KE}{0.0625 \cdot ρ \cdot [g] \cdot H^{2}}

Go Kinetic Energy given Total Wave Energy

KE = TE - PE

How to Evaluate Wave Height given Kinetic Energy due to Particle Motion?

Wave Height given Kinetic Energy due to Particle Motion evaluator uses Wave Height = sqrt(Kinetic Energy of Wave per Unit Width/(0.0625*Density of Fluid*[g]*Wavelength)) to evaluate the Wave Height, The Wave Height given Kinetic Energy due to Particle Motion formula is defined as the difference between elevations of a crest and neighbouring trough. Wave Height is denoted by H symbol.

How to evaluate Wave Height given Kinetic Energy due to Particle Motion using this online evaluator? To use this online evaluator for Wave Height given Kinetic Energy due to Particle Motion, enter Kinetic Energy of Wave per Unit Width (KE), Density of Fluid (ρ) & Wavelength (λ) and hit the calculate button.

FAQs on Wave Height given Kinetic Energy due to Particle Motion

What is the formula to find Wave Height given Kinetic Energy due to Particle Motion?

The formula of Wave Height given Kinetic Energy due to Particle Motion is expressed as Wave Height = sqrt(Kinetic Energy of Wave per Unit Width/(0.0625*Density of Fluid*[g]*Wavelength)). Here is an example- 0.709737 = sqrt(10.136/(0.0625*1.225*[g]*1.5)).

How to calculate Wave Height given Kinetic Energy due to Particle Motion?

With Kinetic Energy of Wave per Unit Width (KE), Density of Fluid (ρ) & Wavelength (λ) we can find Wave Height given Kinetic Energy due to Particle Motion using the formula - Wave Height = sqrt(Kinetic Energy of Wave per Unit Width/(0.0625*Density of Fluid*[g]*Wavelength)). This formula also uses Gravitational acceleration on Earth constant(s) and Square Root (sqrt) function(s).

Can the Wave Height given Kinetic Energy due to Particle Motion be negative?

Yes, the Wave Height given Kinetic Energy due to Particle Motion, measured in Length can be negative.

Which unit is used to measure Wave Height given Kinetic Energy due to Particle Motion?

Wave Height given Kinetic Energy due to Particle Motion is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Wave Height given Kinetic Energy due to Particle Motion can be measured.

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