{"id":1397,"date":"2024-11-21T10:04:02","date_gmt":"2024-11-21T13:04:02","guid":{"rendered":"https:\/\/revistabrasileiradefisica.com\/rbf\/?p=1397"},"modified":"2024-11-21T12:04:34","modified_gmt":"2024-11-21T15:04:34","slug":"solucao-teorica-para-o-periodo-do-pendulo-simples-nao-linear-e-afericao-experimental-utilizando-o-arduino","status":"publish","type":"post","link":"https:\/\/revistabrasileiradefisica.com\/rbf\/2024\/11\/21\/solucao-teorica-para-o-periodo-do-pendulo-simples-nao-linear-e-afericao-experimental-utilizando-o-arduino\/","title":{"rendered":"Solu\u00e7\u00e3o Te\u00f3rica para o Per\u00edodo do P\u00eandulo Simples N\u00e3o-Linear e Aferi\u00e7\u00e3o Experimental Utilizando o Arduino"},"content":{"rendered":"\r\n

Theoretical Solution for the Period of a Simple Nonlinear Pendulum and Experimental Measurement Using Arduino<\/em><\/h4>\r\n\r\n\r\n\r\n

DOI<\/strong>: 10.5281\/zenodo.14197567<\/a><\/em><\/p>\r\n\r\n\r\n\r\n

J\u00e9ssica Coimbra de Oliveira<\/strong>
ORCID<\/a> | <\/em> Lattes<\/a> | <\/em> E-mail<\/a><\/em><\/p>\r\n\r\n

Raffael Costa de Figueiredo Pinto<\/strong>
ORCID<\/a> | <\/em> Lattes<\/a> | <\/em> E-mail<\/a><\/em><\/p>\r\n\r\n

Thiago Freire de Oliveira<\/strong>
ORCID<\/a> | <\/em> Lattes<\/a> | <\/em> E-mail<\/a><\/em><\/p>\r\n\r\n

Clarice de Souza<\/strong>
ORCID<\/a> | <\/em> Lattes<\/a> | <\/em> E-mail<\/a><\/em><\/p>\r\n\r\n\r\n\r\n\r\n\r\n\r\n

Resumo: <\/strong>Neste trabalho apresentamos a elabora\u00e7\u00e3o de um aparato experimental para aferi\u00e7\u00e3o do per\u00edodo de um p\u00eandulo com uma precis\u00e3o de tempo de 8 casas decimais com a utiliza\u00e7\u00e3o da plataforma Arduino acoplada a sensores de luz infravermelha. Com o referido aparato, aferimos o per\u00edodo do p\u00eandulo simples no regime n\u00e3o linear para diferentes \u00e2ngulos de lan\u00e7amento e comparamos com a aproxima\u00e7\u00e3o linear a qual \u00e9 apresentada em todos os livros did\u00e1ticos que tratam do assunto. Al\u00e9m disso, obtivemos um valor estimado para a acelera\u00e7\u00e3o da gravidade local com uma boa precis\u00e3o, g = 9,7860 +- 0,1296) m\/s\u00b2, tomando como base o regime linear do p\u00eandulo. Tamb\u00e9m aferimos o per\u00edodo em fun\u00e7\u00e3o do comprimento do fio, para o regime linear, a fim de comparar os dados experimentais com os previstos teoricamente.<\/em>
Palavras-chave: <\/strong>P\u00eandulo n\u00e3o-linear; Arduino; Python; Integral el\u00edptica; Per\u00edodo do p\u00eandulo<\/em><\/p>\r\n\r\n\r\n\r\n

Abstract: <\/strong>In this work we present the development of an experimental apparatus for measuring the period of a pendulum with a time precision of 8 decimal places using the Arduino platform coupled to infrared light sensors. With the mentioned apparatus, we measured the period of the simple pendulum in the non-linear regime for different launch angles and compared it with the linear approximation which is presented in all textbooks about the same the subject. Furthermore, we obtained an estimated value for the acceleration of local gravity with good precision, g = 9,7860 +- 0,1296) m\/s\u00b2, based on the linear regime of the pendulum. We also measured the period as a function of the length of the wire, for the linear regime, in order to compare the experimental data with those predicted theoretically.
Keywords:<\/strong> Nonlinear pendulum; Arduino; Python; Elliptical integral; Pendulum period<\/p>\r\n\r\n\r\n\r\n

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