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P. V. S. Souza

Publications and source records attributed to P. V. S. Souza.

3 recordsLinked to original sources

The Moon, a disk or a sphere?

In this paper, we present a physical modeling activity whose objective is to allow students to determine the differences between a disk and a sphere using pure scientific criteria. Thereunto, we reproduce the Sun-Earth-Moon system with low-cost materials and compare the illumination effects on the Moon considering two possible shapes for it (a sphere and a disk). The analysis is based on the shape of the Terminator line produced in each case as a function of the illumination angle. The results obtained are first discussed and then applied so that one can interpret the observed patterns in the illumination effects of other celestial bodies, such as Venus or even the Earth. Thereby, the activity can be very useful to unmask the unscientific idea of Flat Earth. The entire activity is easily replicable and it may be useful to promote a more realistic view of science and its methods.

physics.ed-ph↗

A simple and didactic method to calculate the fractal dimension - an interdisciplinary tool

Perfect fractals are mathematical objects that, because they are generated by recursive processes, have self-similarity and infinite complexity. In particular, they also have a fractional dimension. Although several proposals for the study of fractals at the basic level are present in the literature, only few proposals for the study of real fractals exist, which does not seem reasonable in our point of view considering the wealth of the theme and its potentiality as interdisciplinary theme in math education. For this reason, in this text, we present a simple and easily assimilable method to calculate the fractal dimension of any two-dimensional object. The method is divided into two steps. In the first step, students learn how is calculated the fractal dimension of any figure and they do this manually. Next part, which according to our best knowledge is new, with respect to the application in classroom, consists in the procedure of determining the fractal dimension using a smartphone and a computer with free software \textit {imageJ} installed. This proposal is easily understandable, considering the high school curriculum, and readily replicable, considering its easy adaptation to the most diverse school realities.

physics.ed-ph↗

Drag force in wind tunnels: a new method

A rigid object of general shape is fixed inside a wind tunnel. The drag force exerted on it by the wind is determined by a new method based on simple basic Physics concepts, provided one has a solver, any solver, for the corresponding dynamic Navier-Stokes equation which determines the wind velocity field around the object. The method is completely general, but here we apply it to the traditional problem of a long cylinder perpendicular to the wind.

physics.flu-dyn↗