Abstract: An arrangement of devices for determining an efficiency index in abrasive waterjet cutting, i.e. the index unambiguously defining for a certain material the shape of a cut, roughness of surfaces created by cutting, their conical nature depending on the incidence angle of the abrasive waterjet. The arrangement of the invention consists of a known abrasive waterjet cutting machine (1), a thermographic camera (2) and a computer (3), wherein a workpiece (4) is arranged on said machine (1), said workpiece being intended to undergo a cutting procedure; and fixed and variable process parameters (A) of cutting are known: hydraulic, cutting, mixing, abrasive and input parameters of said workpiece.