An agitated tank has an impeller diameter of \(10 \mathrm{~cm}\) and operates at a speed of revolution of 10 r.p.s. The tank has a diameter of \(20 \mathrm{~cm}\) and is filled up to a height of \(20 \mathrm{~cm}\) with liquid. Find the following: (i) the power consumed assuming turbulent conditions, (ii) the length scale at which viscous dissipation takes place, and (iii) the corresponding velocity scale.