\( \mathrm{~A} 1 / 3\) scale model of a centrifugal water pump running at \(N_{m}=5100 \mathrm{rpm}\) produces a flow rate of \(Q_{m}=1 \mathrm{~m}^{3} / \mathrm{s}\) with a head of \(H_{m}=5.4 \mathrm{~m}\). Assuming the model and prototype efficiencies are comparable, estimate the flow rate, head, and power requirement if the design speed is \(125 \mathrm{rpm}\).