Wind Speed At Elevation 10m Above Sea Surface Given Frequency At Spectral Peak Calculator

Formula Used:

\[ Wind\ Speed = \left( \frac{Fetch\ Length \times [g]^2}{\left( \frac{Frequency\ at\ Spectral\ Peak}{3.5} \right)^{-1/0.33}} \right)^{1/3} \] \[ V = \left( \frac{Fl \times [g]^2}{\left( \frac{fp}{3.5} \right)^{-1/0.33}} \right)^{1/3} \]

Wind Speed:

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1. What is Wind Speed at Elevation 10m above Sea Surface?

Wind Speed at Elevation 10m above Sea Surface refers to the average speed of wind measured at a standard height of 10 meters above the sea surface. This measurement is crucial for oceanographic and meteorological studies, particularly in wave forecasting and coastal engineering.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ V = \left( \frac{Fl \times [g]^2}{\left( \frac{fp}{3.5} \right)^{-1/0.33}} \right)^{1/3} \]

Where:

\( V \) — Wind Speed (m/s)
\( Fl \) — Fetch Length (m)
\( [g] \) — Gravitational acceleration (9.80665 m/s²)
\( fp \) — Frequency at Spectral Peak (Hz)

Explanation: This formula calculates wind speed based on fetch length and spectral peak frequency, incorporating gravitational acceleration as a constant factor.

3. Importance of Wind Speed Calculation

Details: Accurate wind speed estimation at 10m elevation is essential for wave prediction models, coastal structure design, marine navigation safety, and climate studies. It helps in understanding energy transfer from wind to waves.

4. Using the Calculator

Tips: Enter fetch length in meters and frequency at spectral peak in hertz. Both values must be positive numbers. The calculator will compute the wind speed at 10m elevation above sea surface.

5. Frequently Asked Questions (FAQ)

Q1: Why is 10m elevation used as a standard?
A: 10m elevation is an international standard for wind measurements as it minimizes surface effects while remaining practical for measurement instruments.

Q2: What is fetch length and why is it important?
A: Fetch length is the unobstructed distance wind travels over water. Longer fetch allows waves to grow larger and more organized, affecting wind-wave relationships.

Q3: How does spectral peak frequency relate to wind speed?
A: Spectral peak frequency indicates the dominant wave frequency. Higher wind speeds typically generate waves with lower peak frequencies (longer wavelengths).

Q4: Are there limitations to this calculation method?
A: This method assumes fully developed seas and may be less accurate for limited fetch conditions or rapidly changing wind fields.

Q5: How is this calculation used in practical applications?
A: It's used in marine forecasting, offshore operations planning, coastal engineering design, and climate research studies.