Prevention of train accidents with the Cross Ratio theorem

General

21798

Divulgación Científica

While I was watching the news, I was thinking if I could do anything to prevent them, since train accidents have happened a lot in recent years and the consequences are heavy. While our teacher at the math club was telling us about the Cross Ratio theorem, I started thinking about where we can use it in daily life. In this project, with the help of the Cross Ratio theorem, I made a calculation that would allow a train to detect a future obstacle on the train route in advance and provide automatic warning or stop with an early warning system. While using the Cross Ratio theorem, I determined the ratio points as the pillars on the train track. The ratio of the braking distance of the train relative to the first pole in front of the obstacle to the one farther from the poles between the obstacle; We calculate the final limit where the train can stop without hitting the obstacle with the proportioning applied as the ratio of the distance of the closest pole to the train to the braking distance and the distance of the closest pole to the train to the pole behind the obstacle. The speed and acceleration factors of course change when calculating the stopping distance of the train. In the calculations, calculations were made by considering the average velocity and average acceleration values ​​according to the statistical data.

Participantes

SADENAZ TASKIN

Yavuz ATÇI

Escuela

Özel Akhisar Koleji

Turkey-Manisa-Akhisar