A cylindrical copper wire has a uniform cross-sectional area of \(2.5 \times 10^{-6}\text{ m}^2\) and carries a steady current of \(3.2\text{ A}\). The conduction electron density in copper is \(8.0 \times 10^{28}\text{ m}^{-3}\), and the magnitude of the charge of an electron is \(1.6 \times 10^{-19}\text{ C}\). What is the average drift speed of the conduction electrons in the wire?