Problems $($Fluid Dynamic$)$

Q$1.$ A $(1500$ m$)$ long pipe is placed at the slope of $(1$ in $100).$ The pipe is discharged water at the rate of liter $\frac{?}{\text{m}\text{i}\text{n}}$ and at a pressure of $(49050\frac{N}{m^2}).$ Determine the diameter of the pipe if the head of water at the entrance of pipe is $(5m).$ Take $f=0\mathrm{.}01.$