NPSH A pump is used to transport water from a source $($A$)$ to a field for irrigation purposes at an ation of $h=15ft.$ The pipe diameter is $3-$inches, the total pipe length from the source to the pump $($B$)$ is $30ft,$ and the friction factor is $f=0\mathrm{.}015.$ If the pump used is the Taco model $4013,$ determine if cavitation will occur for $V_{\text{a}\text{v}\text{a}}=18f\frac{t}{s}($assume $200C).$