A simple system with a turbine $(T)$ is shown below. The pipes connecting the reservoirs are made of concrete with a roughness of $1\mathrm{.}2$ mm and a diameter of $0\mathrm{.}8$ m $.$ The turbine has a characteristic curve described by the equation $H_T=1\mathrm{.}8Q_T$ where $H_T$ is the turbine head $($in m $)$ and $Q_T$ is the turbine discharge $($in $\frac{m^3}{s}).$ Calculate the discharge $Q,$ and the power produced by the turbine. Assume the efficiency of the turbine is $70\%.$ Use the following $K$ values for minor losses: $K_{\text{e}\text{n}\text{t}\text{r}\text{a}\text{n}\text{c}\text{e}}=0\mathrm{.}8$;$k_{\text{e}\text{x}\text{i}\text{t}}=1$

Elevation $=60m$

Elevation $=20m$

$L=2000m$