Version 1
: Received: 18 October 2024 / Approved: 18 October 2024 / Online: 21 October 2024 (13:45:43 CEST)
How to cite:
Fang, N.; Liang, C. The Fastest Motion of an Object in a Curved Earth Tunnel--Revisiting the Earth Tunnel Problem Using Python Visualization Toolkit. Preprints2024, 2024101521. https://doi.org/10.20944/preprints202410.1521.v1
Fang, N.; Liang, C. The Fastest Motion of an Object in a Curved Earth Tunnel--Revisiting the Earth Tunnel Problem Using Python Visualization Toolkit. Preprints 2024, 2024101521. https://doi.org/10.20944/preprints202410.1521.v1
Fang, N.; Liang, C. The Fastest Motion of an Object in a Curved Earth Tunnel--Revisiting the Earth Tunnel Problem Using Python Visualization Toolkit. Preprints2024, 2024101521. https://doi.org/10.20944/preprints202410.1521.v1
APA Style
Fang, N., & Liang, C. (2024). The Fastest Motion of an Object in a Curved Earth Tunnel--Revisiting the Earth Tunnel Problem Using Python Visualization Toolkit. Preprints. https://doi.org/10.20944/preprints202410.1521.v1
Chicago/Turabian Style
Fang, N. and Chengtian Liang. 2024 "The Fastest Motion of an Object in a Curved Earth Tunnel--Revisiting the Earth Tunnel Problem Using Python Visualization Toolkit" Preprints. https://doi.org/10.20944/preprints202410.1521.v1
Abstract
This paper discusses the problem of the fastest motion of an object in a curved earth tunnel. By establishing a mathematical model and applying the Python visualization toolkit, the analytical expression of the brachistocentre is derived, and the physical meaning of the integral constant C is analyzed . The study found that under certain conditions, a curved tunnel can provide a shorter travel time than a straight tunnel, which challenges intuitive cognition . At the same time, this research method that combines mathematical software and physical models can help students better expand their thinking about physical models, making complex expanded physical models easy to understand and master .
Copyright:
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.