Water flows through a smooth circular pipe under turbulent conditions. In the viscous sub-layer the velocity varies linearly with the distance from the wall. The Fanning friction factor is defined as f = τ_w / (ρ U_avg² / 2) where τ_w is the shear stress at the wall of the pipe, ρ is the density of the fluid and U_avg is the average velocity in the pipe. Water (ρ = 1000 kg m^-3, μ = 1×10^-3 kg m^-1 s^-1) flows at an average velocity of 1 m s^-1 through the pipe. For this flow condition, the friction factor f is 0.005. At a distance of 0.05 mm from the wall of the pipe (in the viscous sub-layer), the velocity (in m s^-1, rounded off to the third decimal place), is ______?