The rate of soil movement by wind is a complex process influenced by several factors. Empirical models are often used to describe these relationships.
The rate of soil movement (S) is primarily determined by the excess wind energy available to dislodge and transport particles. This energy is related to the difference between the actual wind speed (v) and the minimum wind speed required to initiate movement, known as the threshold wind speed (vm).
Combining these dependencies, the interrelationship is expressed as:
$S \propto (v – v_m)^3 d^{1/2}$
In wind erosion, the maximum portion of soil is transported by the process of ____________.
A windbreak, 15 m in height and 200 m in length, is established to protect the land from wind erosion in an arid area. The minimum wind velocity at the height of 15 m above the ground required to move the most erodible soil fraction is $9.6\ m\cdot s^{-1}$. If 5-year return period wind velocity at 15 m height is $16\ m\cdot s^{-1}$ and the wind direction deviates $20^\circ$ from the line perpendicular to the windbreak, the area protected by the windbreak in ha is ________________.
[round off to 2 decimal places]