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Mean Wave Frequency given Energy Dissipation Rate Formula

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Mean Wave Frequency is the number of complete cycles of waves that pass through a fixed point in a unit time. Check FAQs

f m = \frac{δ}{0.25 \cdot ρ water \cdot [g] \cdot Q B \cdot {H max}^{2}}

f_m - Mean Wave Frequency?δ - Energy Dissipation Rate per unit Surface Area?ρ_water - Water Density?Q_B - Percentage of Waves Breaking?H_max - Maximum Wave Height?[g] - Gravitational acceleration on Earth?

Mean Wave Frequency given Energy Dissipation Rate Example

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Here is how the Mean Wave Frequency given Energy Dissipation Rate equation looks like with Values.

Here is how the Mean Wave Frequency given Energy Dissipation Rate equation looks like with Units.

Here is how the Mean Wave Frequency given Energy Dissipation Rate equation looks like.

8 = \frac{19221}{0.25 \cdot 1000 \cdot 9.8066 \cdot 2 \cdot {0.7}^{2}}

8Hz = \frac{19221}{0.25 \cdot 1000kg/m³ \cdot 9.8066m/s² \cdot 2 \cdot {0.7m}^{2}}

8 = \frac{19221}{0.25 \cdot 1000 \cdot 9.8066 \cdot 2 \cdot {0.7}^{2}}

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Mean Wave Frequency given Energy Dissipation Rate Solution

Follow our step by step solution on how to calculate Mean Wave Frequency given Energy Dissipation Rate?

FIRST Step Consider the formula

f m = \frac{δ}{0.25 \cdot ρ water \cdot [g] \cdot Q B \cdot {H max}^{2}}

Next Step Substitute values of Variables

∴

f m = \frac{19221}{0.25 \cdot 1000kg/m³ \cdot [g] \cdot 2 \cdot {0.7m}^{2}}

Next Step Substitute values of Constants

∴

f m = \frac{19221}{0.25 \cdot 1000kg/m³ \cdot 9.8066m/s² \cdot 2 \cdot {0.7m}^{2}}

Next Step Prepare to Evaluate

∴

f m = \frac{19221}{0.25 \cdot 1000 \cdot 9.8066 \cdot 2 \cdot {0.7}^{2}}

Next Step Evaluate

∴

f m = 7.99998584883623Hz

LAST Step Rounding Answer

∴

f m = 8Hz

Mean Wave Frequency given Energy Dissipation Rate Formula Elements

Variables

Constants

Mean Wave Frequency

Mean Wave Frequency is the number of complete cycles of waves that pass through a fixed point in a unit time.

Symbol: f_m

Measurement: FrequencyUnit: Hz

Note: Value should be greater than 0.

Formulas to find Mean Wave Frequency

Energy Dissipation Rate per unit Surface Area

Energy Dissipation Rate per unit Surface Area is the amount of energy lost by the viscous forces per unit surface area.

Symbol: δ

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Energy Dissipation Rate per unit Surface Area

Water Density

Water Density is mass per unit volume of water.

Symbol: ρ_water

Measurement: DensityUnit: kg/m³

Note: Value should be greater than 0.

Formulas to find Water Density

Percentage of Waves Breaking

Percentage of Waves Breaking is to calculate the energy dissipation rate of a wave whose amplitude reaches a critical level at which some process can suddenly start to occur.

Symbol: Q_B

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Percentage of Waves Breaking

Maximum Wave Height

Maximum Wave Height is most probable influenced by the difference between the elevations of a crest and a neighboring trough.

Symbol: H_max

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Maximum 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 Energy Flux Method category

Go Energy Flux associated with Stable Wave Height

E f' = E'' \cdot C g

Go Energy Dissipation Rate per unit Surface Area due to Wave Breaking

δ = (\frac{K d}{d}) \cdot ((E'' \cdot C g) - (E f))

Go Water Depth given Energy Dissipation Rate per unit Surface Area due to Wave Breaking

d = K d \cdot \frac{E'' \cdot C g - (E f)}{δ}

Go Stable Wave Height

H stable = 0.4 \cdot d

How to Evaluate Mean Wave Frequency given Energy Dissipation Rate?

Mean Wave Frequency given Energy Dissipation Rate evaluator uses Mean Wave Frequency = Energy Dissipation Rate per unit Surface Area/(0.25*Water Density*[g]*Percentage of Waves Breaking*Maximum Wave Height^2) to evaluate the Mean Wave Frequency, The Mean Wave Frequency given Energy Dissipation Rate formula is defined as the number of waves that pass a fixed point in unit time also, the number of cycles or vibrations undergone during one unit of time by a body in periodic motion. Mean Wave Frequency is denoted by f_m symbol.

How to evaluate Mean Wave Frequency given Energy Dissipation Rate using this online evaluator? To use this online evaluator for Mean Wave Frequency given Energy Dissipation Rate, enter Energy Dissipation Rate per unit Surface Area (δ), Water Density (ρ_water), Percentage of Waves Breaking (Q_B) & Maximum Wave Height (H_max) and hit the calculate button.

FAQs on Mean Wave Frequency given Energy Dissipation Rate

What is the formula to find Mean Wave Frequency given Energy Dissipation Rate?

The formula of Mean Wave Frequency given Energy Dissipation Rate is expressed as Mean Wave Frequency = Energy Dissipation Rate per unit Surface Area/(0.25*Water Density*[g]*Percentage of Waves Breaking*Maximum Wave Height^2). Here is an example- 7.999986 = 19221/(0.25*1000*[g]*2*0.7^2).

How to calculate Mean Wave Frequency given Energy Dissipation Rate?

With Energy Dissipation Rate per unit Surface Area (δ), Water Density (ρ_water), Percentage of Waves Breaking (Q_B) & Maximum Wave Height (H_max) we can find Mean Wave Frequency given Energy Dissipation Rate using the formula - Mean Wave Frequency = Energy Dissipation Rate per unit Surface Area/(0.25*Water Density*[g]*Percentage of Waves Breaking*Maximum Wave Height^2). This formula also uses Gravitational acceleration on Earth constant(s).

Can the Mean Wave Frequency given Energy Dissipation Rate be negative?

No, the Mean Wave Frequency given Energy Dissipation Rate, measured in Frequency cannot be negative.

Which unit is used to measure Mean Wave Frequency given Energy Dissipation Rate?

Mean Wave Frequency given Energy Dissipation Rate is usually measured using the Hertz[Hz] for Frequency. Petahertz[Hz], Terahertz[Hz], Gigahertz[Hz] are the few other units in which Mean Wave Frequency given Energy Dissipation Rate can be measured.

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Mean Wave Frequency given Energy Dissipation Rate Formula

Mean Wave Frequency given Energy Dissipation Rate Example

Mean Wave Frequency given Energy Dissipation Rate Solution

Mean Wave Frequency given Energy Dissipation Rate Formula Elements

Other formulas in Energy Flux Method category

How to Evaluate Mean Wave Frequency given Energy Dissipation Rate?

FAQs on Mean Wave Frequency given Energy Dissipation Rate

Variable Name