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Frequency at Spectral Peak Formula

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Frequency at Spectral Peak is the number of occurrences of a repeating event per unit of time. Check FAQs

f p = 3.5 \cdot {(\frac{{[g]}^{2} \cdot F l}{{V 10}^{3}})}^{- 0.33}

f_p - Frequency at Spectral Peak?F_l - Fetch Length?V₁₀ - Wind Speed at Height of 10 m?[g] - Gravitational acceleration on Earth?

Frequency at Spectral Peak Example

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Here is how the Frequency at Spectral Peak equation looks like with Values.

Here is how the Frequency at Spectral Peak equation looks like with Units.

Here is how the Frequency at Spectral Peak equation looks like.

0.0132 = 3.5 \cdot {(\frac{{9.8066}^{2} \cdot 2}{22^{3}})}^{- 0.33}

0.0132kHz = 3.5 \cdot {(\frac{{9.8066m/s²}^{2} \cdot 2m}{{22m/s}^{3}})}^{- 0.33}

0.0132 = 3.5 \cdot {(\frac{{9.8066}^{2} \cdot 2}{22^{3}})}^{- 0.33}

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Frequency at Spectral Peak Solution

Follow our step by step solution on how to calculate Frequency at Spectral Peak?

FIRST Step Consider the formula

f p = 3.5 \cdot {(\frac{{[g]}^{2} \cdot F l}{{V 10}^{3}})}^{- 0.33}

Next Step Substitute values of Variables

∴

f p = 3.5 \cdot {(\frac{{[g]}^{2} \cdot 2m}{{22m/s}^{3}})}^{- 0.33}

Next Step Substitute values of Constants

∴

f p = 3.5 \cdot {(\frac{{9.8066m/s²}^{2} \cdot 2m}{{22m/s}^{3}})}^{- 0.33}

Next Step Prepare to Evaluate

∴

f p = 3.5 \cdot {(\frac{{9.8066}^{2} \cdot 2}{22^{3}})}^{- 0.33}

Next Step Evaluate

∴

f p = 13.1620323508518Hz

Next Step Convert to Output's Unit

∴

f p = 0.0131620323508518kHz

LAST Step Rounding Answer

∴

f p = 0.0132kHz

Frequency at Spectral Peak Formula Elements

Variables

Constants

Frequency at Spectral Peak

Frequency at Spectral Peak is the number of occurrences of a repeating event per unit of time.

Symbol: f_p

Measurement: FrequencyUnit: kHz

Note: Value can be positive or negative.

Formulas to find Frequency at Spectral Peak

Fetch Length

Fetch Length is the unobstructed distance that wind can travel over water in a constant direction.

Symbol: F_l

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Fetch Length

Wind Speed at Height of 10 m

Wind Speed at Height of 10 m refers to the average speed of the wind measured at a height of 10 meters above ground level.

Symbol: V₁₀

Measurement: SpeedUnit: m/s

Note: Value should be greater than 0.

Formulas to find Wind Speed at Height of 10 m

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 Parametric Spectrum Models category

Go Phillip's Equilibrium Range of Spectrum for Fully Developed Sea in Deep Water

E ω = b \cdot {[g]}^{2} \cdot ω^{- 5}

Go JONSWAP Spectrum for Fetch-limited Seas

E f = (\frac{α \cdot {[g]}^{2}}{{(2 \cdot π)}^{4} \cdot f^{5}}) \cdot {(\exp (- 1.25 \cdot {(\frac{f}{f p})}^{- 4}) \cdot γ)}^{\exp (- \frac{{((\frac{f}{f p}) - 1)}^{2}}{2 \cdot σ^{2}})}

Go Fetch Length given Frequency at Spectral Peak

F l = \frac{({V 10}^{3}) \cdot ({(\frac{f p}{3.5})}^{- (\frac{1}{0.33})})}{{[g]}^{2}}

Go Wind Speed at Elevation 10m above Sea Surface given Frequency at Spectral Peak

V = {(\frac{F l \cdot {[g]}^{2}}{{(\frac{f p}{3.5})}^{- (\frac{1}{0.33})}})}^{\frac{1}{3}}

How to Evaluate Frequency at Spectral Peak?

Frequency at Spectral Peak evaluator uses Frequency at Spectral Peak = 3.5*(([g]^2*Fetch Length)/Wind Speed at Height of 10 m^3)^-0.33 to evaluate the Frequency at Spectral Peak, The Frequency at Spectral Peak formula is defined as the range of frequencies contained by a signal. Wave spectra are used by oceanographers to describe the distribution of energy at different frequencies. Frequency at Spectral Peak is denoted by f_p symbol.

How to evaluate Frequency at Spectral Peak using this online evaluator? To use this online evaluator for Frequency at Spectral Peak, enter Fetch Length (F_l) & Wind Speed at Height of 10 m (V₁₀) and hit the calculate button.

FAQs on Frequency at Spectral Peak

What is the formula to find Frequency at Spectral Peak?

The formula of Frequency at Spectral Peak is expressed as Frequency at Spectral Peak = 3.5*(([g]^2*Fetch Length)/Wind Speed at Height of 10 m^3)^-0.33. Here is an example- 1.3E-5 = 3.5*(([g]^2*2)/22^3)^-0.33.

How to calculate Frequency at Spectral Peak?

With Fetch Length (F_l) & Wind Speed at Height of 10 m (V₁₀) we can find Frequency at Spectral Peak using the formula - Frequency at Spectral Peak = 3.5*(([g]^2*Fetch Length)/Wind Speed at Height of 10 m^3)^-0.33. This formula also uses Gravitational acceleration on Earth constant(s).

Can the Frequency at Spectral Peak be negative?

Yes, the Frequency at Spectral Peak, measured in Frequency can be negative.

Which unit is used to measure Frequency at Spectral Peak?

Frequency at Spectral Peak is usually measured using the Kilohertz[kHz] for Frequency. Hertz[kHz], Petahertz[kHz], Terahertz[kHz] are the few other units in which Frequency at Spectral Peak can be measured.

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