The aim of this thesis is investigation of the main cause of whistling noise that circular saws produce while idling. Numerical model based on the vibrations of the saw was constructed in computer software in purpose of the comparison of the results given by simulation with data from other studies. Considering the complexity of circular saw vibrations and vast number of possibilities that occur in practice this thesis is focused on free vibrations and forced vibrations of saw disk, neglecting the influence of the saw teeth on vibration modes. The main cause of thesis is better understanding of vibration modes influence on far-field acoustic pressure distribution and acoustic power radiation. Thesis begins with general theoretical considerations of circular saw characteristics and continues with excerpts of analytical expressions related with motion of vibrating saw body, free vibrations, forced vibrations, far-field acoustic pressure, acoustic power radiation and acoustic radiation efficiency. The second part of the study consists of making of computer simulation model in Femap with NX Nastran, making of Matlab code for numerical models of circular saw, and finally the comparison of the results obtained by simulation analysis with data given in other studies. For the saw model from catalogue axisymmetric modes of vibration were computed, along with saw response on axial harmonic excitation, far field acoustic pressure and acoustic radiation efficiency.