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Wavelength for Kinetic Energy due to Particle Motion Formula

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

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

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

Wavelength for Kinetic Energy due to Particle Motion Example

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

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

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

1.5 = \frac{10.136}{0.0625 \cdot 1.225 \cdot 9.8066 \cdot 3^{2}}

1.5m = \frac{10.136J}{0.0625 \cdot 1.225kg/m³ \cdot 9.8066m/s² \cdot {3m}^{2}}

1.5 = \frac{10.136}{0.0625 \cdot 1.225 \cdot 9.8066 \cdot 3^{2}}

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Wavelength for Kinetic Energy due to Particle Motion Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

λ = \frac{10.136J}{0.0625 \cdot 1.225kg/m³ \cdot [g] \cdot {3m}^{2}}

Next Step Substitute values of Constants

∴

λ = \frac{10.136J}{0.0625 \cdot 1.225kg/m³ \cdot 9.8066m/s² \cdot {3m}^{2}}

Next Step Prepare to Evaluate

∴

λ = \frac{10.136}{0.0625 \cdot 1.225 \cdot 9.8066 \cdot 3^{2}}

Next Step Evaluate

∴

λ = 1.4999863633189m

LAST Step Rounding Answer

∴

λ = 1.5m

Wavelength for Kinetic Energy due to Particle Motion Formula Elements

Variables

Constants

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

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

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 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 Wave Height given Kinetic Energy due to Particle Motion

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

Go Kinetic Energy given Total Wave Energy

KE = TE - PE

How to Evaluate Wavelength for Kinetic Energy due to Particle Motion?

Wavelength for Kinetic Energy due to Particle Motion evaluator uses Wavelength = Kinetic Energy of Wave per Unit Width/(0.0625*Density of Fluid*[g]*Wave Height^2) to evaluate the Wavelength, The Wavelength for Kinetic Energy due to Particle Motion formula is defined as the distance between identical points (adjacent crests) in the adjacent cycles of a waveform signal propagated in space. Wavelength is denoted by λ symbol.

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

FAQs on Wavelength for Kinetic Energy due to Particle Motion

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

The formula of Wavelength for Kinetic Energy due to Particle Motion is expressed as Wavelength = Kinetic Energy of Wave per Unit Width/(0.0625*Density of Fluid*[g]*Wave Height^2). Here is an example- 1.499986 = 10.136/(0.0625*1.225*[g]*3^2).

How to calculate Wavelength for Kinetic Energy due to Particle Motion?

With Kinetic Energy of Wave per Unit Width (KE), Density of Fluid (ρ) & Wave Height (H) we can find Wavelength for Kinetic Energy due to Particle Motion using the formula - Wavelength = Kinetic Energy of Wave per Unit Width/(0.0625*Density of Fluid*[g]*Wave Height^2). This formula also uses Gravitational acceleration on Earth constant(s).

Can the Wavelength for Kinetic Energy due to Particle Motion be negative?

Yes, the Wavelength for Kinetic Energy due to Particle Motion, measured in Length can be negative.

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

Wavelength for 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 Wavelength for Kinetic Energy due to Particle Motion can be measured.

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