A pump P moves a flow rate $Q=\frac{1001}{s}$ of oil $(=7845\frac{N}{m^3}v=8{10}^{-6}\frac{m^2}{s})$ from tank A to tank

B$.$ As shown in the Figure, the distance of the liquid level in the two tanks is $Y=100m,$ the

lengths$/$diameters of the pipes in and out of the pump are respectively: $L_1=50m_1=0,400m$;$L_2$

$=700mD{D}_2=0,300m.$ The absolute roughness is ${}_1={}_2=0,0008m.$ Calculate the power of the pump

assuming its efficiency $n=80\%.$ Do the calculations first not including and then including minor

head losses. Assume the flow regime to be fully turbulent.