$2.$ How much power $($in HP$)$ can a micro$-$hydro plant, with the following characteristics, generate with its$$ turbine? The plant gets water from a stream that is $500$ feet higher than the turbine. Water flows directly from the stream through a headgate into the upstream end of the pipeline that carries it a total length of $1,000$ ft$,$ with a drop of $500$ ft$,$ before entering the micro$-$hydro plant where the turbine is housed. After driving the turbine, the water flows through a $50-$foot section of piping and returns to the stream. $$Elevation drop from source to turbine $=500$ ft$.$All piping is Sch $406-$inch nominal steel. $$The flow rate is $200$ gpm$.$You can neglect minor losses, but you must account for friction losses in all piping sections.