Fetch Length given Frequency at Spectral Peak Calculator

✖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.ⓘ Wind Speed at Height of 10 m [V₁₀]			+10% -10%
✖Frequency at Spectral Peak is the number of occurrences of a repeating event per unit of time.ⓘ Frequency at Spectral Peak [f_p]			+10% -10%

✖Fetch Length is the unobstructed distance that wind can travel over water in a constant direction.ⓘ Fetch Length given Frequency at Spectral Peak [F_l]

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Fetch Length given Frequency at Spectral Peak Solution

STEP 0: Pre-Calculation Summary

Formula Used

Fetch Length = ((Wind Speed at Height of 10 m^3)*((Frequency at Spectral Peak/3.5)^-(1/0.33)))/[g]^2
F_l = ((V₁₀^3)*((f_p/3.5)^-(1/0.33)))/[g]^2
This formula uses 1 Constants, 3 Variables

Constants Used

[g] - Gravitational acceleration on Earth Value Taken As 9.80665

Variables Used

Fetch Length - (Measured in Meter) - Fetch Length is the unobstructed distance that wind can travel over water in a constant direction.
Wind Speed at Height of 10 m - (Measured in Meter per Second) - 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.
Frequency at Spectral Peak - (Measured in Hertz) - Frequency at Spectral Peak is the number of occurrences of a repeating event per unit of time.

STEP 1: Convert Input(s) to Base Unit

Wind Speed at Height of 10 m: 22 Meter per Second --> 22 Meter per Second No Conversion Required
Frequency at Spectral Peak: 0.013162 Kilohertz --> 13.162 Hertz (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

F_l = ((V₁₀^3)*((f_p/3.5)^-(1/0.33)))/[g]^2 --> ((22^3)*((13.162/3.5)^-(1/0.33)))/[g]^2

Evaluating ... ...

F_l = 2.00001489638791

STEP 3: Convert Result to Output's Unit

2.00001489638791 Meter --> No Conversion Required

FINAL ANSWER

2.00001489638791 ≈ 2.000015 Meter <-- Fetch Length

(Calculation completed in 00.004 seconds)

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Fetch Length given Frequency at Spectral Peak

LaTeX Go Fetch Length = ((Wind Speed at Height of 10 m^3)*((Frequency at Spectral Peak/3.5)^-(1/0.33)))/[g]^2

Frequency at Spectral Peak

LaTeX Go Frequency at Spectral Peak = 3.5*(([g]^2*Fetch Length)/Wind Speed at Height of 10 m^3)^-0.33

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LaTeX Go Phillip's Equilibrium Range of Spectrum = Constant B*[g]^2*Wave Angular Frequency^-5

Fetch Length given Frequency at Spectral Peak Formula

LaTeX Go

Fetch Length = ((Wind Speed at Height of 10 m^3)*((Frequency at Spectral Peak/3.5)^-(1/0.33)))/[g]^2
F_l = ((V₁₀^3)*((f_p/3.5)^-(1/0.33)))/[g]^2

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The wave travels with a certain velocity.
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The amplitude of all the particles is the same.

How to Calculate Fetch Length given Frequency at Spectral Peak?

Fetch Length given Frequency at Spectral Peak calculator uses Fetch Length = ((Wind Speed at Height of 10 m^3)*((Frequency at Spectral Peak/3.5)^-(1/0.33)))/[g]^2 to calculate 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 calculate Fetch Length given Frequency at Spectral Peak using this online calculator? To use this online calculator 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. Here is how the Fetch Length given Frequency at Spectral Peak calculation can be explained with given input values -> 2.000015 = ((22^3)*((13.162/3.5)^-(1/0.33)))/[g]^2.

FAQ

What is Fetch Length given Frequency at Spectral Peak?

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 and is represented as F_l = ((V₁₀^3)*((f_p/3.5)^-(1/0.33)))/[g]^2 or Fetch Length = ((Wind Speed at Height of 10 m^3)*((Frequency at Spectral Peak/3.5)^-(1/0.33)))/[g]^2. 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 & Frequency at Spectral Peak is the number of occurrences of a repeating event per unit of time.

How to calculate Fetch Length given Frequency at Spectral Peak?

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 is calculated using Fetch Length = ((Wind Speed at Height of 10 m^3)*((Frequency at Spectral Peak/3.5)^-(1/0.33)))/[g]^2. To calculate Fetch Length given Frequency at Spectral Peak, you need Wind Speed at Height of 10 m (V₁₀) & Frequency at Spectral Peak (f_p). With our tool, you need to enter the respective value for Wind Speed at Height of 10 m & Frequency at Spectral Peak and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Fetch Length?

In this formula, Fetch Length uses Wind Speed at Height of 10 m & Frequency at Spectral Peak. We can use 1 other way(s) to calculate the same, which is/are as follows -

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

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