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Консультация № 194040
30.11.2018, 15:07
0.00 руб.
03.12.2018, 08:43
0
1
1
Уважаемые эксперты! Пожалуйста, ответьте на вопрос:
Диаметр одного из колен U-образной трубки в n=3 раза меньше, чем другого. В трубку сначала наливают воду, а затем в меньшее колено доливают масло, чтобы высота h его столба стала равной 30 см. Определите изменение [$916$]h уровня воды в большом колене. Плотность масла равна 0,9 г/см3, плотность воды 1 г/см3.
Диаметр одного из колен U-образной трубки в n=3 раза меньше, чем другого. В трубку сначала наливают воду, а затем в меньшее колено доливают масло, чтобы высота h его столба стала равной 30 см. Определите изменение [$916$]h уровня воды в большом колене. Плотность масла равна 0,9 г/см3, плотность воды 1 г/см3.
Обсуждение
04.12.2018, 08:20
общий
это ответ
Здравствуйте, Валентина!
Обозначим
-- диаметр меньшего колена трубки;
-- диаметр большего колена трубки;
г/см3 -- плотность воды;
г/см3 -- плотность масла;
см -- высота столба масла, налитого в трубку.
После заполнения меньшего колена трубки маслом в ней в ней установится равновесие жидкостей; давление в обоих коленах на уровне границы раздела воды и масла будет одинаковым, то есть
где
-- высота столба воды в большем колене относительно границы раздела воды и масла в меньшем колене. Тогда
Предположим, что после заполнения меньшего колена трубки маслом уровень воды в нём уменьшился на
Тогда из меньшего колена в большее перетечёт объём воды
вследствие чего уровень воды в большем колене повысится на
значит,
Поскольку
постольку
(см).
Обозначим
-- диаметр меньшего колена трубки; -- диаметр большего колена трубки; г/см3 -- плотность воды; г/см3 -- плотность масла; см -- высота столба масла, налитого в трубку.После заполнения меньшего колена трубки маслом в ней в ней установится равновесие жидкостей; давление в обоих коленах на уровне границы раздела воды и масла будет одинаковым, то есть
где
-- высота столба воды в большем колене относительно границы раздела воды и масла в меньшем колене. ТогдаПредположим, что после заполнения меньшего колена трубки маслом уровень воды в нём уменьшился на
Тогда из меньшего колена в большее перетечёт объём водывследствие чего уровень воды в большем колене повысится на
значит,
Поскольку
постольку
(см).
Об авторе:
Facta loquuntur.
Facta loquuntur.
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