In the pipe system shown below the pipe has a diameter of $21cm,$ and it is $530m$ long from $A$ to $S.$ The equivalent roughness height of the pipe, $e,$ is $0\mathrm{.}22mm.$ The kinematic viscosity is $n=1\mathrm{.}1310-6m\frac{2}{s}.$ The minor head loss coefficients are: $Ke=0\mathrm{.}5$ for entrance losses, and $Kd=1\mathrm{.}0$ for exit losses. The water surface elevations are $h1=730m,$ and $h2=650m.$ The discharge is $Q=525\frac{L}{s}.$

Determine the pressure head at $S$ in $m.$

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Report $3-5$ sig figs, don't include units