Question $1$

A water pump running at $1440$ rpm $,$ the flow rate is $0\mathrm{.}06\frac{m^3}{s}.$ The volumetric estimated as ${}_v=0\mathrm{.}92,$ the hydraulic efficiency is ${}_h=0\mathrm{.}85,$ the dise friction $P_{df}^{\text{'}}=0\mathrm{.}9kW,$ the mechanical loss is $P_m^{\text{'}}=1\mathrm{.}3kW.$ Find the head and the leakage make a sketch of the energy balance in the pump, if the impeller diameter is $500$ width of $50$ mm and the blade angle is $2$ at the outlet. Assume a slip $[25]$ Inplat powea shonld le found by yourself.