Problem $5.$ A $16\mathrm{.}00-m^3$ rapid mix tank is being designed for a drinking water plant with a flow rate of $1,770\frac{m^3}{h}r.$ The rapid mix tank has an impeller with a diameter of $1\mathrm{.}15-m$ and a power number of $N_p=5\mathrm{.}60.$ The velocity gradient for the tank is to be $G=600s^{-1}$ and the water temperature is $10C.$ Determine the required input power assuming an efficiency of $=0\mathrm{.}84$ and the impeller rotational speed $n$ in rpm$.$