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A sedimentation tank must be designed for the town of Laramie. Laramie has a population of $110,000$ people and this increases at a rate of $1\%$ per year. The average per capita water use is $95$ gal$/$day and increases at a rate of $0\mathrm{.}02\%.$ The design flow rate will be calculated at $30$ years in the future. Determine the overlow rate required if the smallest particle diameter in meters that should be completely removed is $20$ microns $(20$ x $10-6$m$).$ Assume the following:

$$particle specific gravity $=2\mathrm{.}6$

water density $=1000$ kg$/$m$3$

$=1\mathrm{.}307$ x $10-3$Pa$$s

g $=9\mathrm{.}81$ m$/$s$2$

Potential Answers:

$3\mathrm{.}4$ m$/$d

$2\mathrm{.}31$ x $10^31$ m$/$d

$23\mathrm{.}1$ m$/$d

$4\mathrm{.}5$ m$/$d