This study presents the design and optimization of single- and double-sided linear induction motors (LIMs) with distributed and concentric windings for the propulsion system of a hyperloop capsule. Through a systematic and methodical approach, the most suitable design was identified. The process began with defining operational requirements and calculating kinematic parameters. Subsequently, analytical methods were used to determine geometrical and electrical parameters, which were later validated using the finite element method (FEM). Multi-criteria decision making was then applied to compare various designs, leading to the selection of an optimal configuration. The performance of the chosen design was further improved through equivalent circuit-based optimization. Finally, a prototype motor was manufactured, integrated with a battery and drive system, and tested within the hyperloop system for experimental validation. The developed 12-slot double-sided distributed winding linear induction motor (DSLIM) demonstrated optimal performance with a force-to-mass ratio of 6.16 N/kg, while the 24-slot double-sided distributed winding DSLIM emerged as a strong candidate due to its superior energy efficiency. Since there is limited research in this area, this study provides a comprehensive design methodology to guide future research. Furthermore, the proposed method is scalable to accommodate higher speeds and extended operational requirement ranges.