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Консультация № 194288
25.12.2018, 15:55
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Здравствуйте, уважаемые эксперты! Прошу вас ответить на следующий вопрос:
Трубка имеет диаметр 1 мм. На нижнем конце трубки повисла капля воды, имеющая в момент отрыва вид шарика. Найти диаметр из этой капли.
Трубка имеет диаметр 1 мм. На нижнем конце трубки повисла капля воды, имеющая в момент отрыва вид шарика. Найти диаметр из этой капли.
Обсуждение
28.12.2018, 15:58
общий
это ответ
Здравствуйте, pervysha!
На каплю в момент отрыва действуют сила
тяжести и сила 
поверхностного натяжения воды, равнодействующая которых равна нулю, то есть
Значит, по абсолютной величине
При этом масса 
капли задаётся выражением 
где 
кг/м3 -- плотность воды, 
-- искомый диаметр капли. Тогда
С другой стороны,
где 
Н/м -- коэффициент поверхностного натяжения воды, 
-- длина линии соприкосновения капли с трубкой, 
-- диаметр трубки. Тогда
Приравнивая друг к другу правые части выражений
получим
(м).
На каплю в момент отрыва действуют сила
тяжести и сила поверхностного натяжения воды, равнодействующая которых равна нулю, то естьЗначит, по абсолютной величине
При этом масса капли задаётся выражением где кг/м3 -- плотность воды, -- искомый диаметр капли. ТогдаС другой стороны,
где Н/м -- коэффициент поверхностного натяжения воды, -- длина линии соприкосновения капли с трубкой, -- диаметр трубки. ТогдаПриравнивая друг к другу правые части выражений
получим (м).
Об авторе:
Facta loquuntur.
Facta loquuntur.
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