Problem #$3$ Energy

Water needs to be pumped from a constant$-$head

tank shown with an exit velocity of $6\frac{m}{s}.$ The

pump $1,$ which supplies $1kW$ of power to the

water, was not able to produce the design veloc$-$

ity at the nozzle. Therefore, you meed to add

a second pump be installed at the location in$-$

dicated to increase the flowrate to the desired

value. The head loss $,$ in $[$m$])$ for this flow is

$250Q^2$ with $Q$ in units of $\frac{m^3}{s}.$ How much power

must pump $2$ add to the water? ans. $1\mathrm{.}78kW$