Fluid flow through a straight pipe in a rotating system with magnetic field acting along center line having hall current is investigated numerically. A cylindrical coordinate system has been employed to derive the steady two dimensional momentum equations. By using usual transformation, the steady two dimensional coupled nonlinear partial momentum equations are transferred into non-dimensional coupled nonlinear partial momentum equations. To solve these equations, the Spectral Method has been used as a main tool and the Collocation Method, Chybyshev Polynomial and Newton-Raphson Method are also used as the secondary tools. Also, Arc length Method is used to compute the critical zone results. The influence of magnetic parameter, hall parameter, pressure gradient parameter and rotating parameter, the nature of the total flow (flux) and stream line flow is investigated with different aspect ratios. The numerical technique is applied to solve the governing equations with the help of computer programming language Compaq visual FORTRAN 6.6a and visualize the secondary and axial flow with the help of Tecplot 360 (2009) and Gost Script 8.11 as well as Gost View 4.7 software's for simulation as well as plotting. Finally the axial flow and stream line flow have been shown in contour and stream line format.