The system resistance for a pipeline is given by \(\Delta p_{\text {sys }}=2.0 Q^{2}\), where \(\Delta p_{\text {sys }}\) is the pressure rise required of a pump to deliver the flow rate \(Q\) through the piping system. A pump has the pressure-rise-flow characteristic given by \(\Delta p_{p}=30.0-3.0 Q^{2}\). In both curves, \(\Delta p\) is in \(\mathrm{kPa}\) and \(Q\) is in \(\mathrm{m}^{3} / \mathrm{s}\). Find the pump input power if this pump is placed in this piping system and the pump overall efficiency is \(90 \%\).