Problem M. 317. (October 2011)
M. 317. Cut sectors of different central angles and of radius a=10 cm from A4 sheets of paper, and carefully fold and glue them such that they form right circular cones. The gained cones have different vertex angles, Let be the half of the vertex angle. If they are dropped from a great height they will fall with constant speed. Measure how this terminal speed depends on the half of the vertex angle .
Deadline expired on November 10, 2011.
27 students sent a solution. 6 points: Juhász Péter, Kovács 444 Áron, Szabó 928 Attila, Szigeti Bertalan György. 5 points: Barta Szilveszter Marcell, Jenei Márk, Pálfi Nikolett, Pataki Bálint Ármin, Tilk Bence. 4 points: 7 students. 3 points: 3 students. 2 points: 2 students. 1 point: 2 students. 0 point: 4 students.