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Fetch Length given Scaling Parameter Formula

GoFetch Length given Frequency at Spectral Peak 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}^{2} \cdot ({(\frac{α}{0.076})}^{- (\frac{1}{0.22})})}{[g]}

F_l - Fetch Length?V₁₀ - Wind Speed at Height of 10 m?α - Dimensionless Scaling Parameter?[g] - Gravitational acceleration on Earth?

Fetch Length given Scaling Parameter Example

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Here is how the Fetch Length given Scaling Parameter equation looks like with Values.

Here is how the Fetch Length given Scaling Parameter equation looks like with Units.

Here is how the Fetch Length given Scaling Parameter equation looks like.

2.0034 = \frac{22^{2} \cdot ({(\frac{0.1538}{0.076})}^{- (\frac{1}{0.22})})}{9.8066}

2.0034m = \frac{{22m/s}^{2} \cdot ({(\frac{0.1538}{0.076})}^{- (\frac{1}{0.22})})}{9.8066m/s²}

2.0034 = \frac{22^{2} \cdot ({(\frac{0.1538}{0.076})}^{- (\frac{1}{0.22})})}{9.8066}

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Fetch Length given Scaling Parameter Solution

Follow our step by step solution on how to calculate Fetch Length given Scaling Parameter?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

F l = \frac{{22m/s}^{2} \cdot ({(\frac{0.1538}{0.076})}^{- (\frac{1}{0.22})})}{[g]}

Next Step Substitute values of Constants

∴

F l = \frac{{22m/s}^{2} \cdot ({(\frac{0.1538}{0.076})}^{- (\frac{1}{0.22})})}{9.8066m/s²}

Next Step Prepare to Evaluate

∴

F l = \frac{22^{2} \cdot ({(\frac{0.1538}{0.076})}^{- (\frac{1}{0.22})})}{9.8066}

Next Step Evaluate

∴

F l = 2.0033958163034m

LAST Step Rounding Answer

∴

F l = 2.0034m

Fetch Length given Scaling Parameter 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

Dimensionless Scaling Parameter

Dimensionless Scaling Parameter is a value used in mathematical or scientific models to scale or normalize variables without units. It is used in the JONSWAP spectrum for fetch-limited seas.

Symbol: α

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Dimensionless Scaling Parameter

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 Frequency at Spectral Peak

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

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 Scaling Parameter?

Fetch Length given Scaling Parameter evaluator uses Fetch Length = (Wind Speed at Height of 10 m^2*((Dimensionless Scaling Parameter/0.076)^-(1/0.22)))/[g] to evaluate the Fetch Length, The Fetch Length given Scaling Parameter formula is defined as the length of water over which a given wind has blown without obstruction, calculated using scaling parameter. Fetch Length is denoted by F_l symbol.

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

FAQs on Fetch Length given Scaling Parameter

What is the formula to find Fetch Length given Scaling Parameter?

The formula of Fetch Length given Scaling Parameter is expressed as Fetch Length = (Wind Speed at Height of 10 m^2*((Dimensionless Scaling Parameter/0.076)^-(1/0.22)))/[g]. Here is an example- 2.003396 = (22^2*((0.1538/0.076)^-(1/0.22)))/[g].

How to calculate Fetch Length given Scaling Parameter?

With Wind Speed at Height of 10 m (V₁₀) & Dimensionless Scaling Parameter (α) we can find Fetch Length given Scaling Parameter using the formula - Fetch Length = (Wind Speed at Height of 10 m^2*((Dimensionless Scaling Parameter/0.076)^-(1/0.22)))/[g]. 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^3)*((Frequency at Spectral Peak/3.5)^-(1/0.33)))/[g]^2

Can the Fetch Length given Scaling Parameter be negative?

No, the Fetch Length given Scaling Parameter, measured in Length cannot be negative.

Which unit is used to measure Fetch Length given Scaling Parameter?

Fetch Length given Scaling Parameter 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 Scaling Parameter can be measured.

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