IYPT 1992, Задачи на турнира — Задача 9. Fountain

Problems for the 5th International Young Physicists’ Tournament

Critical edition

Protvino, Russia, June 24‒July 1, 1992 [1]

Critical edition: corrected and commented official translation [2]

FINAL DRAFT. — Please do not re-publish. Suggestions and criticism welcome

Edited and commented by Ilya Martchenko. The original edition’s historical notes, sources and acknowledgments are retained with problem 1.

Условие

There is a fountain called Samson in Peterhof. Water spurts out of it to a height of more than 20 meters. Suggest how to construct a fountain YPTon [21] which could provide the maximum height of the spurt at a given power of the pump. What is the height if the power of the pump is 1 kW? [22]

Note [21]

A game of the words. TYuFon («Тюфон») rhimes nicely to Samson, the name of a real fountain in Peterhof. TYuF (ТЮФ), meantime, is the Russian abbreviation for Young Physicists’ Tournament. Similar games of the words are reproduced in Slovak and Belarusian translations, but omitted in the Hungarian, in the Czech and in the 2006 English versions. The city of Peterhof is not mentioned in the 2006 English version and is spelled Petrodvorets in the Slovak text; the Belarusian version calls the fountain “famous”

Note [22]

The Russian text implies that the power of the pump can be tuned. “Which could provide the maximum height of the spurt if the power of the pump is 1 kW”, not mentioning that the power is not fixed, in both 1992 English translations. In the 2006 English version, the problem reads, “Design construction of a fountain, which at a constant capacity gives a maximum height of the water jet. What will be the reached height to the power 1 kW?”

Решение

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Оригинал в Архива: 1992.pdf