Unbalanced Magnetic Pull (UMP) occurs when there is rotor eccentricity in an electrical machine which accelerates bearing wear caused by the unbalanced force. An analytical model is developed by using the flux distribution ratio in the airgap, verified using a finite element model. The paper uses the model to investigate UMP in an induction machine at different slip. It uses a UMP/Torque ratio to investigate the slip with the lowest possible UMP for constant torque operation. A control objective on running at a slip with the lowest UMP/Torque ratio is proposed. This control strategy can be achieved by changing the d-axis flux of the induction machine.