Three phase induction motors are widely used in many industries, especially role of these three phase induction motors in cable industry is indispensible. This cable industry (Ravicab cables private limited, Bidadi) is using various three phase induction motors (1hp, 3hp, 5hp, 15hp, and 150hp) for various operations. In this paper, only 3hp three phase motor is taken into account for analyzing. This 3hp motor (i.e. capstan motor) is used for cable pulling purpose after the cable has been manufactured. This 3hp motor is needed to be operated at various speeds while pulling the various diameter cables, such as 2.30 mm, 4.75mm, 7.25 mm, and 10.35 mm. Therefore in this paper, modeling of the 3hp three phase induction motor is performed to run this motor at variable speed with respect to various diameters of the cable. In this modeling, a 3hp three phase induction motor is accurately modeled with respect to the requirements of cable pulling process.