Water is pumped through a \(60-\mathrm{m}\)-long, \(0.3-\mathrm{m}\)-diameter pipe from a lower reservoir to a higher reservoir whose surface is \(10 \mathrm{~m}\) above the lower one. The sum of the minor loss coefficient for the system is \(K_{L}=14.5\). When the pump adds \(40 \mathrm{~kW}\) to the water the flowrate is \(0.20 \mathrm{~m}^{3} / \mathrm{s}\). Determine the pipe roughness.