Angular velocity direct measurement and moment of inertia calculation of a rigid body using a smartphone

Patrinopoulos, Matthaios; Kefalis, Chrysovalantis

doi:10.1119/1.4935774

Cited by 22 publications

(11 citation statements)

References 19 publications

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“…If the teacher prefers to avoid video analysis, it should also be possible to use the in-built accelerometer of the smartphone and apps such as Physics Toolbox Gyroscope [18] to obtain the angular velocity, as in references [19][20][21][22].…”

Section: Using the In-built Smartphone's Accelerometer Instead Of Vid...mentioning

confidence: 99%

The ‘spinning disk touches stationary disk’ problem revisited: an experimental approach

et al. 2018

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A popular Newtonian Mechanics problem, featured in textbooks, Physics Olympiads and forums alike, concerns two disks with different radii and moment of inertia that rotate differently and that touch each other. Most students struggle to calculate the final angular velocity of the disks, erroneously attempting to use different conservation laws. In this paper we propose a simple experiment that should help Physics teachers explain this challenging exercise in an engaging way for the students. By using a smartphone/tablet and video analysis tools, the angular velocity of both disks can be easily tracked as a function of time, clearly showing the three stages of the interaction (before the collision, with only one disk rotating; the collision of the disks with slippage; and the rotation of the two disks in harmony, without frictional forces in between). Processing and plotting of the data in a spreadsheet immediately shows which quantities are conserved and which are not. Several extensions to the core experiment are also suggested.

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Section: Using the In-built Smartphone's Accelerometer Instead Of Vid...mentioning

confidence: 99%

The ‘spinning disk touches stationary disk’ problem revisited: an experimental approach

et al. 2018

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“…Sebagai contohnya, telepon genggam yang dahulu hanya dipakai untuk komunikasi sekarang juga dapat digunakan untuk mengukur besaran-besaran fisika. Misalkan penggunaan sensor dari smartphone untuk mengukur nilai percepatan gravitasi (1-3), medan magnetik (4,5), dan kecepatan sudut (6). Selain sensor, smartphone juga dilengkapi dengan kamera Penentuan Nilai Momen Magnet Neodymium yang Bergerak di dalam Pipa Aluminium dan Kuningan dengan Metode….…”

Section: Pendahuluanunclassified

Penentuan Nilai Momen Magnet Neodymium Yang Bergerak Di Dalam Pipa Aluminium Dan Kuningan Dengan Metode Analisis Video

Panuluh

Bulu

2022

j. kumparan fis. j. teach. phys.

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Telah dilakukan penelitian untuk menentukan nilai momen magnet dan mengetahui hubungan diameter dalam pipa terhadap nilai momen magnet neodymium yang bergerak di dalam pipa aluminium dan kuningan dengan metode analisis video. Dipakai sistem pesawat atwood untuk merancang prosedur percobaan pengambilan data. Salah satu beban yang digantungkan di ujung tali direkam pergerakannya menggunakan kamera panasonic Hc-V30. Kemudian file video tersebut dianalisis menggunakan software Logger Pro. Dari analisis tersebut diperoleh grafik posisi fungsi waktu. Kemudian dipilih data yang menunjukkan bahwa magnet telah bergerak dengan kecepatan konstan. Nilai kemiringan dari grafik sama dengan nilai kecepatan terminal dari gerak magnet di dalam pipa. Nilai kecepatan terminal tersebut dapat digunakan untuk memperoleh nilai koefisien redaman magnetik. Kemudian nilai koefisien redaman magnetik yang diperoleh digunakan untuk memperoleh nilai momen magnetik. Dari penelitian yang telah dilakukan dapat disimpulkan bahwa nilai koefisien redaman magnetik berbanding terbalik dengan diameter dalam pipa dan berbanding lurus dengan suseptibilitas bahan. Nilai momen magnet berbanding lurus dengan diameter dalam pipa dan berbanding terbalik dengan koefisien konduktivitas bahan.

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“…9 In applications designed to use the sensor, the gyroscope sampling rate is typically 100 Hz or 200 Hz, 10 which allows data collection during fairly rapid movements of the phone. The accelerometer and gyroscope can be used for physics experiments, including measuring the acceleration due to gravity, [11][12][13] measuring moments of inertia, 14,15 demonstrating the parallel axis theorem, 16 exploring pendulum dynamics, 17 and measuring the radial acceleration and Coriolis force in circular motion. [18][19][20] If a mobile phone is tossed in the air, then, neglecting air resistance, its centre of mass is in simple projectile motion, and the phone is in free rotation (rotation in the absence of a torque) about the centre of mass.…”

Section: Introductionmentioning

confidence: 99%

The mobile phone as a free-rotation laboratory

Wheatland,

Murphy,

Naoumenko

et al. 2020

Preprint

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Modern mobile phones contain a three-axis microelectromechanical system (MEMS) gyroscope, capable of taking accurate measurements of the angular velocity along the three principal axes of the phone with a sampling rate of 100 Hz or better. If the phone is tossed in the air, then, neglecting air resistance, it is in free rotation (rotation in the absence of a torque) with respect to its centre of mass, and the phone's gyroscope can be used to record the rotational dynamics. This enables experimental investigation of free rotation. In this paper, we use a mobile phone to demonstrate the steady states for rotation of the phone about two of its principal axes, and the instability in rotation about the third corresponding to the intermediate moment of inertia. We also show the approximate conservation of angular momentum and rotational kinetic energy during motion in the air, and compare the data with numerical solution of Euler's equations for free rotation. Our results demonstrate the capability of smartphones for investigating free rotation, and should be of interest to college and university teachers developing "at home" physics labs for remote learning.

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Angular velocity direct measurement and moment of inertia calculation of a rigid body using a smartphone

Cited by 22 publications

References 19 publications

The ‘spinning disk touches stationary disk’ problem revisited: an experimental approach

The ‘spinning disk touches stationary disk’ problem revisited: an experimental approach

Penentuan Nilai Momen Magnet Neodymium Yang Bergerak Di Dalam Pipa Aluminium Dan Kuningan Dengan Metode Analisis Video

The mobile phone as a free-rotation laboratory

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