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Fetch Length given Frequency at Spectral Peak Formula

GoFetch Length given Scaling Parameter Formula

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

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

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

Fetch Length given Frequency at Spectral Peak Example

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

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

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

2 = \frac{(22^{3}) \cdot ({(\frac{0.0132}{3.5})}^{- (\frac{1}{0.33})})}{{9.8066}^{2}}

2m = \frac{({22m/s}^{3}) \cdot ({(\frac{0.0132kHz}{3.5})}^{- (\frac{1}{0.33})})}{{9.8066m/s²}^{2}}

2 = \frac{(22^{3}) \cdot ({(\frac{0.0132}{3.5})}^{- (\frac{1}{0.33})})}{{9.8066}^{2}}

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Fetch Length given Frequency at Spectral Peak Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

F l = \frac{({22m/s}^{3}) \cdot ({(\frac{0.0132kHz}{3.5})}^{- (\frac{1}{0.33})})}{{[g]}^{2}}

Next Step Substitute values of Constants

∴

F l = \frac{({22m/s}^{3}) \cdot ({(\frac{0.0132kHz}{3.5})}^{- (\frac{1}{0.33})})}{{9.8066m/s²}^{2}}

Next Step Convert Units

∴

F l = \frac{({22m/s}^{3}) \cdot ({(\frac{13.162Hz}{3.5})}^{- (\frac{1}{0.33})})}{{9.8066m/s²}^{2}}

Next Step Prepare to Evaluate

∴

F l = \frac{(22^{3}) \cdot ({(\frac{13.162}{3.5})}^{- (\frac{1}{0.33})})}{{9.8066}^{2}}

Next Step Evaluate

∴

F l = 2.00001489638791m

LAST Step Rounding Answer

∴

F l = 2m

Fetch Length given Frequency at Spectral Peak Formula Elements

Variables

Constants

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

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

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 Fetch Length

Go Fetch Length given Scaling Parameter

F l = \frac{{V 10}^{2} \cdot ({(\frac{α}{0.076})}^{- (\frac{1}{0.22})})}{[g]}

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 Frequency at Spectral Peak

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

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 Fetch Length given Frequency at Spectral Peak?

Fetch Length given Frequency at Spectral Peak evaluator uses Fetch Length = ((Wind Speed at Height of 10 m^3)*((Frequency at Spectral Peak/3.5)^-(1/0.33)))/[g]^2 to evaluate the Fetch Length, The Fetch length given Frequency at Spectral Peak formula is defined as the length of water over which a given wind has blown without obstruction. Fetch Length is denoted by F_l symbol.

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

FAQs on Fetch Length given Frequency at Spectral Peak

What is the formula to find Fetch Length given Frequency at Spectral Peak?

The formula of Fetch Length given Frequency at Spectral Peak is expressed as Fetch Length = ((Wind Speed at Height of 10 m^3)*((Frequency at Spectral Peak/3.5)^-(1/0.33)))/[g]^2. Here is an example- 2.000015 = ((22^3)*((13.162/3.5)^-(1/0.33)))/[g]^2.

How to calculate Fetch Length given Frequency at Spectral Peak?

With Wind Speed at Height of 10 m (V₁₀) & Frequency at Spectral Peak (f_p) we can find Fetch Length given Frequency at Spectral Peak using the formula - Fetch Length = ((Wind Speed at Height of 10 m^3)*((Frequency at Spectral Peak/3.5)^-(1/0.33)))/[g]^2. This formula also uses Gravitational acceleration on Earth constant(s).

What are the other ways to Calculate Fetch Length?

Here are the different ways to Calculate Fetch Length-

Fetch Length=(Wind Speed at Height of 10 m^2*((Dimensionless Scaling Parameter/0.076)^-(1/0.22)))/[g]

Can the Fetch Length given Frequency at Spectral Peak be negative?

No, the Fetch Length given Frequency at Spectral Peak, measured in Length cannot be negative.

Which unit is used to measure Fetch Length given Frequency at Spectral Peak?

Fetch Length given Frequency at Spectral Peak is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Fetch Length given Frequency at Spectral Peak can be measured.

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