2013
DOI: 10.1088/0143-0807/34/3/737
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A quantitative analysis of coupled oscillations using mobile accelerometer sensors

Abstract: In this paper, smartphone acceleration sensors were used to perform a quantitative analysis of mechanical coupled oscillations. Symmetric and asymmetric normal modes were studied separately in the first two experiments. In the third, a coupled oscillation was studied as a combination of the normal modes. Results indicate that acceleration sensors of smartphones, which are very familiar to students, represent valuable measurement instruments for introductory and first-year physics courses.

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Cited by 53 publications
(47 citation statements)
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“…Numerous investigations have been published on laboratory experiments in which digital cameras or webcams are used [3][4][5][6][7] , optical mice 8,9 and games consoles and their wireless devices which control the games [10][11][12][13][14] . Also the sensors of smartphones are beginning to be used to make precise measurements [15][16][17][18][19][20] . These sensors allow carrying out direct measurements of physical magnitudes if we have previously downloaded specific applications, most of which are free, that allow us to show measurements on the screen of the smartphone, store them and even do a graph with the results.…”
Section: Introductionmentioning
confidence: 99%
“…Numerous investigations have been published on laboratory experiments in which digital cameras or webcams are used [3][4][5][6][7] , optical mice 8,9 and games consoles and their wireless devices which control the games [10][11][12][13][14] . Also the sensors of smartphones are beginning to be used to make precise measurements [15][16][17][18][19][20] . These sensors allow carrying out direct measurements of physical magnitudes if we have previously downloaded specific applications, most of which are free, that allow us to show measurements on the screen of the smartphone, store them and even do a graph with the results.…”
Section: Introductionmentioning
confidence: 99%
“…Then, a comparison with the theoretical expressions (3) to (9) allows students to check the accuracy of the theoretical model and experimental results, as well as to study the influence of different parameters on the vibration frequencies. Figure 7 shows the comparison of the experimental frequencies and the theoretical values calculated using expressions (3) to (9). The experimental results shown in figure 7 correspond to an average of the Fourier transforms of three independent measurements of the vibrations of a steel rod with length = L 0.35 m and cylindrical section of radius = -r 0.925 10 3 · m. For the calculation of theoretical values, the Young's modulus and density values were taken from [40].…”
Section: Experiments and Resultsmentioning
confidence: 99%
“…The accelerometer sensor has been used to study the simple pendulum phenomena and harmonic oscillations [17][18][19][20]. In addition, the smartphone acceleration sensors were used to quantitatively analyze a system of coupled oscillators [21]. Furthermore, the smartphone ambient light sensor has been used to study a system of two coupled springs [22].…”
Section: Introductionmentioning
confidence: 99%