Determining the Coefficient of Restitution Through the “Bouncing Ball” Experiment using Phyphox

Jesi Pebralia

Abstract


This study aims to determine the restitution coefficient based on the reflected sound from the “bouncing ball” experiment. The experiment used a Phyphox-based smartphone. The produced sound came from a reflection between marble and the floor. Theoretically, the value of the coefficient of restitution is obtained based on the square root of the final height of the object’s reflection divided by its initial height. In this study, the determination of the height of the bounce from the “bouncing ball” was measured using the Phyphox application, which was analyzed based on the sound of the bouncing ball and the time interval of the reflection. The results show that the value of the coefficient of restitution for each marble was 0.93, 0.92, and 0.92, while the average error was 0.65%, 0.85%, and 1.43%, respectively. Furthermore, the average error value of the overall measurement is 0.97%. This error is highly dependent on the shape of the object. The rounder a thing is, the higher the level of accuracy will be. In this study, the determination of the coefficient of restitution was carried out in two ways: by comparing the height of the ball’s bounce and the time intervals for the n and n+1 bounce. The value of the coefficient of restitution generated by these methods was identic. Thus, this study had confirmed that the bounce ball experiment using the Phyphox indicated valid data well so that it could be implemented for determining the coefficient of restitution.

Keywords: Bouncing ball, Coefficient of restitution, Phyphox, Smartphone



Full Text:

PDF

References


M. Heckel, A. Glielmo, N. Gunkelmann, and T. Pöschel, “Can we obtain the coefficient of restitution from the sound of a bouncing ball?,” Phys. Rev. E, vol. 93, no. 3, pp. 1–10, 2016, doi: 10.1103/PhysRevE.93.032901.

D. Serero, N. Gunkelmann, and T. Pöschel, “Hydrodynamics of binary mixtures of granular gases with stochastic coefficient of restitution,” J. Fluid Mech., vol. 781, pp. 595–621, 2015, doi: 10.1017/jfm.2015.501.

T. Pöschel, N. V. Brilliantov, and T. Schwager, “Long-time behavior of granular gases with impact-velocity dependent coefficient of restitution,” Phys. A Stat. Mech. its Appl., vol. 325, no. 1–2, pp. 274–283, 2003, doi: 10.1016/S0378-4371(03)00206-1.

T. Schwager and T. Pöschel, “Coefficient of restitution and linear-dashpot model revisited,” Granul. Matter, vol. 9, no. 6, pp. 465–469, 2007, doi: 10.1007/s10035-007-0065-z.

B. Feng, W. Sun, L. Shi, B. Sun, T. Zhang, and J. Wu, “Determination of restitution coefficient of potato tubers collision in harvest and analysis of its influence factors,” Nongye Gongcheng Xuebao/Transactions Chinese Soc. Agric. Eng., vol. 33, no. 13, pp. 50–57, 2017, doi: 10.11975/j.issn.1002-6819.2017.13.007.

M. C. Marinack, R. E. Musgrave, and C. F. Higgs, “Experimental investigations on the coefficient of restitution of single particles,” Tribol. Trans., vol. 56, no. 4, pp. 572–580, 2013, doi: 10.1080/10402004.2012.748233.

M. Montaine, M. Heckel, C. Kruelle, T. Schwager, and T. Pöschel, “Coefficient of restitution as a fluctuating quantity,” Phys. Rev. E - Stat. Nonlinear, Soft Matter Phys., vol. 84, no. 4, pp. 3–7, 2011, doi: 10.1103/PhysRevE.84.041306.

B. Crüger et al., “Coefficient of restitution for particles impacting on wet surfaces: An improved experimental approach,” Particuology, vol. 25, no. 2016, pp. 1–9, 2016, doi: 10.1016/j.partic.2015.04.002.

J. Hlosta, D. Žurovec, J. Rozbroj, Á. Ramírez-Gómez, J. Nečas, and J. Zegzulka, “Experimental determination of particle–particle restitution coefficient via double pendulum method,” Chem. Eng. Res. Des., vol. 135, pp. 222–233, 2018, doi: 10.1016/j.cherd.2018.05.016.

D. B. Hastie, “Experimental measurement of the coefficient of restitution of irregular shaped particles impacting on horizontal surfaces,” Chem. Eng. Sci., vol. 101, pp. 828–836, 2013, doi: 10.1016/j.ces.2013.07.010.

X. Li, M. Dong, D. Jiang, S. Li, and Y. Shang, The effect of surface roughness on normal restitution coefficient, adhesion force and friction coefficient of the particle-wall collision, vol. 362. Elsevier B.V, 2020. doi: 10.1016/j.powtec.2019.11.120.

S. Singh, D. Tafti, and V. Tech, “Gt2013-95623 Predicting the Coefficient of Restitution for Particle Wall,” pp. 1–9, 2013.

Z. Jiang, J. Du, C. Rieck, A. Bück, and E. Tsotsas, “PTV experiments and DEM simulations of the coefficient of restitution for irregular particles impacting on horizontal substrates,” Powder Technol., vol. 360, pp. 352–365, 2020, doi: 10.1016/j.powtec.2019.10.072.

H. Tang, R. Song, Y. Dong, and X. Song, “Measurement of restitution and friction coefficients for granular particles and discrete element simulation for the tests of glass beads,” Materials (Basel)., vol. 12, no. 19, 2019, doi: 10.3390/ma12193170.

P. Müller, M. Heckel, A. Sack, and T. Pöschel, “Complex velocity dependence of the coefficient of restitution of a bouncing ball,” Phys. Rev. Lett., vol. 110, no. 25, pp. 1–5, 2013, doi: 10.1103/PhysRevLett.110.254301.

R. Cross, “Behaviour of a bouncing ball,” Phys. Educ., vol. 50, no. 3, pp. 335–341, 2015, doi: 10.1088/0031-9120/50/3/335.

H. A. Ewar, M. E. Bahagia, V. Jeluna, R. B. Astro, and A. Nasar, “Penentuan Konstanta Pegas Menggunakan Aplikasi Phyphox Pada Peristiwa Osilasi Pegas,” J. Kumparan Fis., vol. 4, no. 3, pp. 155–162, 2021, doi: 10.33369/jkf.4.3.155-162.

I. Boimau, A. Y. Boimau, and W. Liu, “EKSPERIMEN GERAK JATUH BEBAS BERBASIS SMARTPHONE MENGGUNAKAN APLIKASI PHYPHOX Infianto,” in Seminar Nasional Ilmu Fisika dan Terapannya, 2021, pp. 67–75.

J. Pebralia and I. Amri, “EKSPERIMEN GERAK PENDULUM MENGGUNAKAN SMARTPHONE BERBASIS PHYPHOX: PENERAPAN PRAKTIKUM FISIKA DASAR SELAMA MASA COVID-19,” JIFP (Jurnal Ilmu Fis. dan Pembelajarannya), vol. 5, no. 2, pp. 10–14, 2021.

S. Yasaroh, H. Kuswanto, D. Ramadhanti, A. Azalia, and H. Hestiana, “Utilization of the phyphox application (physical phone experiment) to calculate the moment of inertia of hollow cylinders,” J. Ilm. Pendidik. Fis. Al-Biruni, vol. 10, no. 2, pp. 231–240, 2021, doi: 10.24042/jipfalbiruni.v10i2.9237.

Y. F. Ilmi, A. B. Susila, and B. H. Iswanto, “Using accelerometer smartphone sensor and phyphyox for friction experiment in high school,” J. Phys. Conf. Ser., vol. 2019, no. 1, 2021, doi: 10.1088/1742-6596/2019/1/012008.

J. E. Higham, P. Shepley, and M. Shahnam, “Measuring the coefficient of restitution for all six degrees of freedom,” Granul. Matter, vol. 21, no. 2, 2019, doi: 10.1007/s10035-019-0871-0.

C. E. Aguiar and F. Laudares, “Listening to the coefficient of restitution and the gravitational acceleration of a bouncing ball,” Am. J. Phys., vol. 71, no. 5, pp. 499–501, 2003, doi: 10.1119/1.1524166.




DOI: https://doi.org/10.24071/ijasst.v4i1.4548

Refbacks

  • There are currently no refbacks.









Publisher : Faculty of Science and Technology

Society/Institution : Sanata Dharma University

 

 

 

Creative Commons License
This work is licensed under a Creative Commons Attribution 4.0 International License.