A density measurement device for solid objects with uneven geometry

Hydrostatic measurement, a method traditionally used to measure the density of solid bodies, is not suitable for all solid bodies. This method is undesirable for solid materials that interact with water and lose their properties. In addition, this method is not suitable for porous objects because measurements in water are erroneous and can damage material samples due to the ability of some solid materials to absorb water. In this study, a new density measurement technique has been developed and evaluated to measure the density of rigid objects by means of nonstandard geometry. The density of objects with distorted geometry was measured pneumatically using communicating vessels logic and using the ideal gas equation. An experiment set has been developed, improved and evaluated. Through this technique, the measurement accuracy of the density of the sample tested was determined with an accuracy of 0.08 %.

Applications: Two Geometry Applications

Fitting circles and straight lines together smoothly has been a standard problem in geometry since the time of Euclid. Last summer while working as a consultant for a machine-design company that manufactures precision components for projectile textile looms, I was asked to solve the two nonstandard geometry problems that follow. The problems arose in the design of a shuttle returner for a loom and required the construction of two circles that were to interface smoothly with another circle and two straight lines. In figure 1 is shown the end of the shuttle returner with the desired circles indicated at A and B.