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Abstract
Roller coaster merupakan salah satu jenis wahana permainan berupa kereta yang digerakkan dengan kecepatan tinggi pada lintasan berkelok-kelok dan memiliki ketinggian yang berbeda di atas permukaan tanah. Salah satu masalah yang sering dialami oleh roller coaster adalah terjadi kecelakaan dengan terlemparnya kereta dari lintasan ketika meluncur dengan kecepatan tinggi, seperti yang terjadi pada 14 April 2024 di Taman Kyai Langgeng Eco Park. Pada penelitian ini, kami mempelajari pemodelan gerak menggelinding pada lintasan roller coaster sederhana yang dimodelkan sebagai tiga lintasan setengah lingkaran dengan jari-jari 2R, R, dan R yang terhubung satu sama lain. Penelitian ini bertujuan untuk menentukan syarat ketinggian awal lintasan agar kereta tidak terlempar setelah melewati ujung lintasan, menghitung total waktu yang dibutuhkan untuk berhenti, dan mensimulasikan fungsi posisi dan energi mekanik sistem roller coaster terhadap waktu. Berdasarkan hasil perhitungan didapatkan bahwa syarat ketinggian awal lintasan agar kereta yang dimodelkan sebagai bola pejal tidak terlempar setelah melewati ujung lintasan adalah , dan waktu total yang diperlukan bola hingga berhenti adalah . Berdasarkan hasil simulasi grafik energi mekanik terhadap waktu, didapatkan bahwa peristiwa dinamika gerak menggelinding bola pejal pada lintasan roller coaster sederhana memenuhi hukum kekekalan energi.
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Copyright (c) 2024 Mirda Prisma Wijayanto, Aji Saputra
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References
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- https://radarjogja.jawapos.com/jawa-tengah/654566971/patah-tulang-dan-tak-bisa-kerja-2-korban-kecelakaan-roller-coaster-tkl-ecopark-kota-magelang-tuntut-bantuan-operasional-rp-50-ribu-per-hari
- W.J. Schuttert, “Design and Optimisation of Roller Coaster Elements using Reinforcement Learning”, thesis, Enschede, Netherlands: Mechanical Engineering, University of Twente, 2022.
- F. Cianetti dan C. Braccesi, “Development of a procedure for the structural design of roller coaster structures: The supporting structures”, Engineering Structures, Vol.168, 1, 643-652, 2018.
- C. Braccesi, F. Cianetti, dan L. Landi, “Integrated Roller Coaster Design Environment: Dynamic and Structural Vehicle Analysis”, International Mechanical Engineering Congress and Exposition, IMECE2015-51504, 2016.
- J. Ambrosio dan J. Pombo, “Modelling tracks for roller coaster dynamics”, Internasional Journal of Vehicle Design, Vol. 45, No. 4, 470-500, 2007.
- M.G.Z. Agusti, A. Kecskeméthy, dan J. Schilder, “Effects of Contact Nonlinearities on the Vibration Response of Roller Coaster Trains Along Spatial Trajectories”, The 7th International Conference on Multibody System Dynamics, No. 13470, 2024.
- L.H. Zheng, Z. Liu, M.L. Chen, dan Y.T. Zhu, “Vibration modeling and position-dependent analysis of spatial trajectory roller coaster”, Archive of Applied Mechanics, 87, 489–502, 2017.
- H. Wang dan H. Wang, “The dynamic simulation model of suspended roller coaster based on virtual prototype”, 2010 International Conference on Educational and Information Technology, Chongqing, China, pp. V1-193-V1-196, 2010.
- F. Afrianto, D.J. Putra, H. Kurniawati, A.H. Aimon, dan N. Kurniasih, “Studi Analisis Mekanika Fisika dalam Lintasan Loop the Loop Berbentuk Clothoid pada Roller Coaster”, PROSIDING SNIPS 2018, 247-253, 2018.
- A.B. Nordmark dan H. Essen, “The comfortable roller coaster—on the shape of tracks with a constant normal force”, European Journal of Physics, 31, 1307–1317, 2010.
- D. Singh dan A. Srivatsan, “Reviewing the Physics of Roller Coasters”, International Journal of Science and Research (IJSR), 12 (6), 1888-1890, 2023.
- A.M. Pendrill, “Student investigations of the forces in a roller coaster loop”, European Journal of Physics, 34, 1379-1389, 2013.
- A.M. Pendrill, “Students making sense of motion in a vertical roller coaster loop”, Physics Education, 54, 1-13, 2019.
- A. Anissofira, F.D.E. Latief, dan P. Sinaga, “Analisis Gerak Roller Coaster Menggunakan Tracker dengan Pendekatan Multi Modus Representasi Sebagai Sarana Siswa Memahami Konsep Kinematika”, PROSIDING SKF 2016, 26-32, 2016.
- S.Y. Erlangga dan H. Saputro, “Mini Roller Coaster (Miroco) sebagai Media untuk Menghitung Percepatan Ditinjau dari Energi Mekanik”, Risalah Fisika, 2 (2), 29-33, 2018.
- D. Morin, “Introduction to Classical Mechanics: With Problems and Solutions”, Cambridge University Press, 2008.
- H. Goldstein, C. Poole dan J. Safko, “Classical Mechanics,” 3rd Edition, Addison Wesley, Boston, 2002.
References
R. Nawangwulan, “Patah Tulang dan Tak Bisa Kerja, 2 Korban Kecelakaan Roller Coaster TKL Ecopark Kota Magelang Tuntut Bantuan Operasional Rp 50 Ribu per Hari”, diakses 1 Juli 2024, dari:
W.J. Schuttert, “Design and Optimisation of Roller Coaster Elements using Reinforcement Learning”, thesis, Enschede, Netherlands: Mechanical Engineering, University of Twente, 2022.
F. Cianetti dan C. Braccesi, “Development of a procedure for the structural design of roller coaster structures: The supporting structures”, Engineering Structures, Vol.168, 1, 643-652, 2018.
C. Braccesi, F. Cianetti, dan L. Landi, “Integrated Roller Coaster Design Environment: Dynamic and Structural Vehicle Analysis”, International Mechanical Engineering Congress and Exposition, IMECE2015-51504, 2016.
J. Ambrosio dan J. Pombo, “Modelling tracks for roller coaster dynamics”, Internasional Journal of Vehicle Design, Vol. 45, No. 4, 470-500, 2007.
M.G.Z. Agusti, A. Kecskeméthy, dan J. Schilder, “Effects of Contact Nonlinearities on the Vibration Response of Roller Coaster Trains Along Spatial Trajectories”, The 7th International Conference on Multibody System Dynamics, No. 13470, 2024.
L.H. Zheng, Z. Liu, M.L. Chen, dan Y.T. Zhu, “Vibration modeling and position-dependent analysis of spatial trajectory roller coaster”, Archive of Applied Mechanics, 87, 489–502, 2017.
H. Wang dan H. Wang, “The dynamic simulation model of suspended roller coaster based on virtual prototype”, 2010 International Conference on Educational and Information Technology, Chongqing, China, pp. V1-193-V1-196, 2010.
F. Afrianto, D.J. Putra, H. Kurniawati, A.H. Aimon, dan N. Kurniasih, “Studi Analisis Mekanika Fisika dalam Lintasan Loop the Loop Berbentuk Clothoid pada Roller Coaster”, PROSIDING SNIPS 2018, 247-253, 2018.
A.B. Nordmark dan H. Essen, “The comfortable roller coaster—on the shape of tracks with a constant normal force”, European Journal of Physics, 31, 1307–1317, 2010.
D. Singh dan A. Srivatsan, “Reviewing the Physics of Roller Coasters”, International Journal of Science and Research (IJSR), 12 (6), 1888-1890, 2023.
A.M. Pendrill, “Student investigations of the forces in a roller coaster loop”, European Journal of Physics, 34, 1379-1389, 2013.
A.M. Pendrill, “Students making sense of motion in a vertical roller coaster loop”, Physics Education, 54, 1-13, 2019.
A. Anissofira, F.D.E. Latief, dan P. Sinaga, “Analisis Gerak Roller Coaster Menggunakan Tracker dengan Pendekatan Multi Modus Representasi Sebagai Sarana Siswa Memahami Konsep Kinematika”, PROSIDING SKF 2016, 26-32, 2016.
S.Y. Erlangga dan H. Saputro, “Mini Roller Coaster (Miroco) sebagai Media untuk Menghitung Percepatan Ditinjau dari Energi Mekanik”, Risalah Fisika, 2 (2), 29-33, 2018.
D. Morin, “Introduction to Classical Mechanics: With Problems and Solutions”, Cambridge University Press, 2008.
H. Goldstein, C. Poole dan J. Safko, “Classical Mechanics,” 3rd Edition, Addison Wesley, Boston, 2002.