A $1300$ ft long pipe delivers $110$ ft$3/$sec$.$ The roughness of the pipe is $0\mathrm{.}0028$ inches and the diameter is $24$ inches. The pressure at the end of the pipe should be at least $30$ psi $($pound per square inches$).$ Assumptions are the flow is complete turbulence; the pipe is horizontal; there is no minor loss; and, if needed, the speicific weight of water in US unit is $62\mathrm{.}4$ lbf$/$ft$3.$ Compute the required pressure $($psi$)$ at the entrance of the pipe.