Wind Speed Given Maximum Controlling Parameter For Angular Distribution Calculator

Wind Speed at Height of 10 m Formula:

\[ V_{10} = \frac{[g] \times \left(\frac{s}{11.5}\right)^{-\frac{1}{2.5}}}{2 \times \pi \times f_p} \]

Wind Speed at Height of 10 m:

m/s

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1. What is 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. It is a standard reference height for meteorological measurements and wind energy assessments.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ V_{10} = \frac{[g] \times \left(\frac{s}{11.5}\right)^{-\frac{1}{2.5}}}{2 \times \pi \times f_p} \]

Where:

\( V_{10} \) — Wind Speed at Height of 10 m (m/s)
\( [g] \) — Gravitational acceleration (9.80665 m/s²)
\( s \) — Controlling Parameter for the Angular Distribution
\( f_p \) — Frequency at Spectral Peak (Hz)
\( \pi \) — Archimedes' constant (3.141592653589793)

Explanation: This formula calculates wind speed at 10m height based on the controlling parameter for angular distribution and frequency at spectral peak, incorporating gravitational acceleration and pi constant.

3. Importance of Wind Speed Calculation

Details: Accurate wind speed measurement at standard height is crucial for meteorological forecasting, wind energy potential assessment, structural design considerations, and environmental impact studies.

4. Using the Calculator

Tips: Enter the controlling parameter for angular distribution and frequency at spectral peak. Both values must be positive numbers greater than zero for accurate calculation.

5. Frequently Asked Questions (FAQ)

Q1: Why is 10 meters the standard height for wind measurement?
A: 10 meters is internationally standardized for meteorological measurements as it provides consistent data while being practical for installation and maintenance of measurement equipment.

Q2: What is the typical range of wind speeds at 10m height?
A: Wind speeds can vary from calm conditions (0-0.2 m/s) to storm conditions (20+ m/s), with typical values ranging between 2-15 m/s in most locations.

Q3: How does wind speed change with height?
A: Wind speed generally increases with height following a logarithmic or power law profile due to reduced surface friction at higher elevations.

Q4: What factors can affect wind speed measurements?
A: Terrain roughness, obstacles, atmospheric stability, time of day, and seasonal variations can all significantly influence wind speed measurements.

Q5: How accurate is this calculation method?
A: The accuracy depends on the precision of input parameters and the applicability of the underlying physical model to specific environmental conditions.