$1.$ Developer wants to develop a $4$ acre site in Madison, WI$.$ Details of the site are as follows:Existing Land UseLand use is corn straight row crops in good conditionHSG B $100$ ft sheet flow with slope $0\mathrm{.}4\%1000$ ft shallow concentrated flow with slope $2\%$No channel flowProposed Site$100\%$ impervious surfacesHSG B$50$ ft of sheet flow with slope $0\mathrm{.}4\%1000$ ft of shallow concentrated flow with slope $2\%50$ feet of channel flow in a $2$ wide by $2$ high concrete pipe $50$ feet at slope $1\%($assume pipe is flowing full$)$Retention pond area cannot exceed $0\mathrm{.}5$ acres. Outlet type of pond is discretion of designer.Use Stokes Law to determine the trapping efficiency of the detention pond above. For water quality analysis, a $1$ year storm is often used and rerun the Hydrocad model for a $1$ year storm to obtain discharge leaving the pond and peak water elevation of the pond. Use Stokes law to determine the smallest micron size particle that is trapped in your pond. Please note that the timing for settling a particle is calculated from the peak water elevation to the invert of the outlet. We assume once the particle is below the invert outlet it will keep settling to the bottom of the pond. Hint: You would compare the settling time calculated from stokes law of various particle sizes to timing calculated from Volume of Pond Storage above the pipe invert $($V$)/$ Outlet Discharge $($Q$).$