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Kinetic Energy due to Particle Motion Formula

GoKinetic Energy given Total Wave Energy Formula

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

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

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

Kinetic Energy due to Particle Motion Example

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

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

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

10.1361 = (\frac{1}{16}) \cdot 1.225 \cdot 9.8066 \cdot (3^{2}) \cdot 1.5

10.1361J = (\frac{1}{16}) \cdot 1.225kg/m³ \cdot 9.8066m/s² \cdot ({3m}^{2}) \cdot 1.5m

10.1361 = (\frac{1}{16}) \cdot 1.225 \cdot 9.8066 \cdot (3^{2}) \cdot 1.5

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Kinetic Energy due to Particle Motion Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

KE = (\frac{1}{16}) \cdot 1.225kg/m³ \cdot [g] \cdot ({3m}^{2}) \cdot 1.5m

Next Step Substitute values of Constants

∴

KE = (\frac{1}{16}) \cdot 1.225kg/m³ \cdot 9.8066m/s² \cdot ({3m}^{2}) \cdot 1.5m

Next Step Prepare to Evaluate

∴

KE = (\frac{1}{16}) \cdot 1.225 \cdot 9.8066 \cdot (3^{2}) \cdot 1.5

Next Step Evaluate

∴

KE = 10.1360921484375J

LAST Step Rounding Answer

∴

KE = 10.1361J

Kinetic Energy due to Particle Motion Formula Elements

Variables

Constants

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

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

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

Other Formulas to find Kinetic Energy of Wave per Unit Width

Go Kinetic Energy given Total Wave Energy

KE = TE - PE

Other formulas in Kinetic Energy category

Go Wave Height given Kinetic Energy due to Particle Motion

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

Go Wavelength for Kinetic Energy due to Particle Motion

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

How to Evaluate Kinetic Energy due to Particle Motion?

Kinetic Energy due to Particle Motion evaluator uses Kinetic Energy of Wave per Unit Width = (1/16)*Density of Fluid*[g]*(Wave Height^2)*Wavelength to evaluate the Kinetic Energy of Wave per Unit Width, The Kinetic Energy due to Particle Motion formula is defined as the energy possessed by particles due to motion. Particles of a solid cannot move around because they are closely packed, hence they have the least kinetic energy. Kinetic Energy of Wave per Unit Width is denoted by KE symbol.

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

FAQs on Kinetic Energy due to Particle Motion

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

The formula of Kinetic Energy due to Particle Motion is expressed as Kinetic Energy of Wave per Unit Width = (1/16)*Density of Fluid*[g]*(Wave Height^2)*Wavelength. Here is an example- 181.0982 = (1/16)*1.225*[g]*(3^2)*1.5.

How to calculate Kinetic Energy due to Particle Motion?

With Density of Fluid (ρ), Wave Height (H) & Wavelength (λ) we can find Kinetic Energy due to Particle Motion using the formula - Kinetic Energy of Wave per Unit Width = (1/16)*Density of Fluid*[g]*(Wave Height^2)*Wavelength. This formula also uses Gravitational acceleration on Earth constant(s).

What are the other ways to Calculate Kinetic Energy of Wave per Unit Width?

Here are the different ways to Calculate Kinetic Energy of Wave per Unit Width-

Kinetic Energy of Wave per Unit Width=Total Energy of Wave per Width-Potential Energy per Unit Width

Can the Kinetic Energy due to Particle Motion be negative?

No, the Kinetic Energy due to Particle Motion, measured in Energy cannot be negative.

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

Kinetic Energy due to Particle Motion is usually measured using the Joule[J] for Energy. Kilojoule[J], Gigajoule[J], Megajoule[J] are the few other units in which Kinetic Energy due to Particle Motion can be measured.

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