A centrifugal pump operates at \(300 \mathrm{rpm}\) to deliver \(20^{\circ} \mathrm{C}\) lubricating oil. A \(\frac{1}{5}\)-size, geometrically similar pump delivering \(15^{\circ} \mathrm{C}\) water is used to model the larger pump. How fast should the smaller pump run? Discuss the accuracy of the result.