Problem M. 432. (May 2024)

M. 432. Make an ``hourglass" from semolina and two PET bottles with their mouths turned towards each other. Insert various reducers between the bottles to vary the diameter of the circular opening \(\displaystyle d\). Measure the time \(\displaystyle T\) for the semolina to flow down as a function of the diameter \(\displaystyle d\). The theoretical expectation is \(\displaystyle T\sim d^\gamma\). What exponent \(\displaystyle \gamma\) results from the measurement?

(6 pont)

Deadline expired on June 17, 2024.

Statistics:

11 students sent a solution.
6 points:	Csapó András, Fülöp Magdaléna, Hegedüs Márk, Žigo Boglárka.
5 points:	Masa Barnabás.
3 points:	2 students.

Problems in Physics of KöMaL, May 2024