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Dimensionless Fetch Formula

GoDimensionless Fetch given Fetch-limited Dimensionless Wave Height Formula

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Dimensionless Fetch for the empirical prediction methods is the distance over water that the wind blows in a single direction. Check FAQs

X' = ([g] \cdot \frac{X}{{V f}^{2}})

X' - Dimensionless Fetch?X - Straight Line Distance over which Wind Blows?V_f - Friction Velocity?[g] - Gravitational acceleration on Earth?

Dimensionless Fetch Example

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Here is how the Dimensionless Fetch equation looks like with Values.

Here is how the Dimensionless Fetch equation looks like with Units.

Here is how the Dimensionless Fetch equation looks like.

4.0861 = (9.8066 \cdot \frac{15}{6^{2}})

4.0861 = (9.8066m/s² \cdot \frac{15m}{{6m/s}^{2}})

4.0861 = (9.8066 \cdot \frac{15}{6^{2}})

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Dimensionless Fetch Solution

Follow our step by step solution on how to calculate Dimensionless Fetch?

FIRST Step Consider the formula

X' = ([g] \cdot \frac{X}{{V f}^{2}})

Next Step Substitute values of Variables

∴

X' = ([g] \cdot \frac{15m}{{6m/s}^{2}})

Next Step Substitute values of Constants

∴

X' = (9.8066m/s² \cdot \frac{15m}{{6m/s}^{2}})

Next Step Prepare to Evaluate

∴

X' = (9.8066 \cdot \frac{15}{6^{2}})

Next Step Evaluate

∴

X' = 4.08610416666667

LAST Step Rounding Answer

∴

X' = 4.0861

Dimensionless Fetch Formula Elements

Variables

Constants

Dimensionless Fetch

Dimensionless Fetch for the empirical prediction methods is the distance over water that the wind blows in a single direction.

Symbol: X'

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Dimensionless Fetch

Straight Line Distance over which Wind Blows

Straight Line Distance over which Wind Blows is defined as total stretch of wind motion in a straight line influencing other parameters of the wave.

Symbol: X

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Straight Line Distance over which Wind Blows

Friction Velocity

Friction Velocity, also called shear velocity, is a form by which a shear stress may be re-written in units of velocity.

Symbol: V_f

Measurement: SpeedUnit: m/s

Note: Value can be positive or negative.

Formulas to find Friction Velocity

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 Dimensionless Fetch

Go Dimensionless Fetch given Fetch-limited Dimensionless Wave Height

X' = {(\frac{H'}{λ})}^{\frac{1}{m1}}

Other formulas in Measured Wind Directions category

Go Direction in Standard Meteorological Terms

θ met = 270 - θ vec

Go Direction in Cartesian Coordinate System

θ vec = 270 - θ met

Go Pressure Profile in Hurricane Winds

p = p c + (p n - p c) \cdot \exp (- \frac{A}{r^{B}})

Go Ambient Pressure at Periphery of Storm

p n = (\frac{p - p c}{\exp (- \frac{A}{r^{B}})}) + p c

How to Evaluate Dimensionless Fetch?

Dimensionless Fetch evaluator uses Dimensionless Fetch = ([g]*Straight Line Distance over which Wind Blows/Friction Velocity^2) to evaluate the Dimensionless Fetch, The Dimensionless Fetch formula is defined as the basic tenet of the empirical prediction method and interrelationship with other wave parameters governed by Universal Laws. Dimensionless Fetch is denoted by X' symbol.

How to evaluate Dimensionless Fetch using this online evaluator? To use this online evaluator for Dimensionless Fetch, enter Straight Line Distance over which Wind Blows (X) & Friction Velocity (V_f) and hit the calculate button.

FAQs on Dimensionless Fetch

What is the formula to find Dimensionless Fetch?

The formula of Dimensionless Fetch is expressed as Dimensionless Fetch = ([g]*Straight Line Distance over which Wind Blows/Friction Velocity^2). Here is an example- 4.086104 = ([g]*15/6^2).

How to calculate Dimensionless Fetch?

With Straight Line Distance over which Wind Blows (X) & Friction Velocity (V_f) we can find Dimensionless Fetch using the formula - Dimensionless Fetch = ([g]*Straight Line Distance over which Wind Blows/Friction Velocity^2). This formula also uses Gravitational acceleration on Earth constant(s).

What are the other ways to Calculate Dimensionless Fetch?

Here are the different ways to Calculate Dimensionless Fetch-

Dimensionless Fetch=(Dimensionless Wave Height/Dimensionless Constant)^(1/Dimensionless Exponent)

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Dimensionless Fetch Formula

​GoDimensionless Fetch given Fetch-limited Dimensionless Wave Height Formula

Dimensionless Fetch Example

Dimensionless Fetch Solution

Dimensionless Fetch Formula Elements

Other Formulas to find Dimensionless Fetch

Other formulas in Measured Wind Directions category

How to Evaluate Dimensionless Fetch?

FAQs on Dimensionless Fetch

Variable Name

GoDimensionless Fetch given Fetch-limited Dimensionless Wave Height Formula