A low-cost experimental proposal for the study of damped oscillations in subcritical regime using smartphone
DOI:
https://doi.org/10.26512/rpf.v3i2.23033Keywords:
Damped oscillations. Subcritical regime. Accelerometer. Smartphone. Physics teaching.Abstract
The smartphone is a technological device capable of performing different tasks ranging from simple communication between two people to the location through GPS, biometric features of retina and digital identification, heart rate recording, among others. The development and constant evolution of the technologies present in the smartphones provided the cheapening and the reduction of the sensors present in it, thus allowing the popularization of these measurement tools. These sensors, with the aid of suitable applications, can be used for didactic purposes since they allow the automatic acquisition of data of different physical quantities. In the present work we present a proposal of experimental activity with materials of low cost and daily use, such as a spring, a ruler and a smartphone, for the study of subcritical damped oscillations. The objective is to show that despite the simplicity of the materials it is possible to obtain satisfactory results about a didactic experiment, even in the absence of sophisticated laboratory equipment. With the acceleration measures as a function of time in the three spatial axes obtained by the application Sensor Kinetics it was possible to calculate the values ”‹”‹of the damping constant and the elastic spring constant, as well as the construction of graphs of the upper and lower asymptotes of the position, speed and acceleration that model the oscillatory movement.
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CASTRO-PALACIO, J. C. et al. Using a mobile phone acceleration sensor in physics experiments on free and damped harmonic oscillations. American Journal of Physics, v. 81, n. 6, p. 472”“475, jun 2013. 65
HAWLEY, S. H.; MCCLAIN, R. E. Visualizing sound directivity via smartphone sensors. The Physics Teacher, v. 56, n. 2, p. 72”“74, feb 2018. 65
IGOE, D. P. et al. Median filters as a tool to determine dark noise thresholds in high resolution smartphone image sensors for scientific imaging. Review of Scientific Instruments, v. 89, n. 1, p. 015003, jan 2018. 65
KUHN, J.; VOGT, P. Analyzing spring pendulum phenomena with a smart-phone acceleration sensor. The Physics Teacher, v. 50, n. 8, p. 504”“505, nov 2012. 65
MENDES, A.; ROSÁRIO, P. P. Metrologia e incerteza de medição. 1. ed. Sao Paulo: EPSE, 2005. 128 p. 76
MONTEIRO, M. et al. Acceleration measurements using smartphone sensors: dealing with the equivalence principle. Revista Brasileira de Ensino de Física, v. 37, n. 1, p. 1303, mar 2015. 64
MONTEIRO, M. et al. Magnetic field ‘flyby’ measurement using a smartphone’s magnetometer and accelerometer simultaneously. The Physics Teacher, v. 55, n. 9, p. 580”“581, dec 2017. 65
ORIGINLAB CORPORATION. Origin. Northampton: [s.n.], 2018. Disponível em: <https://www.originlab.com/>. 69
PEREIRA, V. et al. Studying 3D collisions with smartphones. The Physics Teacher, v. 55, n. 5, p. 312”“313, may 2017. 65
SALINAS, I. et al. Characterization of linear light sources with the smartphone’s ambient light sensor. The Physics Teacher, v. 56, n. 8, p. 562”“563, nov 2018. 65
SILVA, R. V.; SILVA, F. A. Utilização de dispositivos móveis com acelerômetro para controle de aplicações. Colloquium Exactarum, v. 2, n. 1, p. 12”“20, 2010. 64
THORNTON, S. T.; MARION, J. B. Dinâmica clássica de partículas e sistemas. 1. ed. Sao Paulo: Cengage Learning, 2011. 608 p. 66
VOGT, P.; KUHN, J. Analyzing free fall with a smartphone acceleration sensor. The Physics Teacher, v. 50, n. 3, p. 182”“183, mar 2012. 65
VOGT, P.; KUHN, J. Analyzing simple pendulum phenomena with a smartphone acceleration sensor. The Physics Teacher, v. 50, n. 7, p. 439”“440, oct 2012. 65
ZILL, D. G.; CULLEN, M. R. Equações diferenciais - vol. 1. 3. ed. Sao Paulo: Pearson Makron Books, 2008. 473 p. 66, 74, 75
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