Today, the industry has been undeniably affected by the creation of assembly lines, and with the help of which it has been able to produce a lot of massive quantities per day. One of the most important devices on the assembly line is the part’s feeder device, which has three main tasks of storing, aligning, and feeding the parts. This device is divided into two types of vibratory and non-vibrational, which the typical type is vibratory feeders. The vibratory feeders are divided into linear and bowl types. In this study, the bowl model has been investigated. This type of feeder is used in a variety of industries, such as pharmacy or electronics, for example, applications such as capacitor or resistance generation as well as food industry ca be named. Investigating the movement of the part on the spiral bowl track leads to the achievement of a particular feed rate, and knowing the effect of various parameters on the feed rate, such as the range of vibration or excitation frequency, can be very useful for the industries concerned. In this research, the movement of nut 14 is modeled as a common part in the industry in a three-dimensional fashion; this modeling is carried out in two ways, one in the software and another by obtaining the dynamic equations of the 3D motion of the part. Simulation in ADAMS software, assuming the body is rigid and considering the contact of the part with the track and the wall as well as the parts with each other, was conducted. In this simulation, the contact is modeled with a spring and a damper. Modeling with Newton’s dynamic equations is achieved with the assumption of a particle mass for the part as well as its contact with the wall using the coefficient of restitution. In addition to obtaining the dynamic equations of 3D motion of mass using the Newton method, implementation of these equations is done in MATLAB software. To validate the results of simulation, a test has been conducted with a vibratory feeder of conventional casings in the industry. In this experiment, to study the effect of friction coefficient of the track on the feed rate, three materials were used for covering the track. Also, to examine the effect of several nuts on the track on feed rate of a particular nut, nine nuts were placed on the spiral track and the feed rate of the fifth nut was investigated. The results showed that the increase in the frequency of stimulation with the increase of the vertical and torsional vibration amplitude, surges the feed rate. Moreover, in the presence of 9 nuts on the track, the feed rate of the fifth nut is higher than the feed rate of a nut on the same track. In the next step, with increasing friction coefficient, the feeding rate of the nut 14 raises. Keywords Vibratory bowl feeder, Part(nut), Three-dimensional motion, Rigid body, Particle mass