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Консультация № 196059
06.08.2019, 17:34
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Здравствуйте! У меня возникли сложности с таким вопросом:
Скорость течения воды в некотором сечении горизонтальной трубы v = 5 см/с. Определите скорость течения в той части трубы, которая имеет: а) вдвое меньший диаметр; б) вдвое меньшую площадь поперечного сечения.
Скорость течения воды в некотором сечении горизонтальной трубы v = 5 см/с. Определите скорость течения в той части трубы, которая имеет: а) вдвое меньший диаметр; б) вдвое меньшую площадь поперечного сечения.
Обсуждение
07.08.2019, 16:25
общий
это ответ
Здравствуйте, dar777!
Вода практически не сжимается при сужении диаметра трубы. Труба НЕ разветвляется. Поэтому, объёмная скорость воды в исходном сечении трубы
Q0 = v*S0
равна объёмной скорости в других частях трубы с мЕньшим сечением или диаметром.
Q2 = v2*S2 = Q0
Здесь v = 0,05 м/сек - линейная скорость воды в исходном сечении S0 .
В части трубы с вдвое мЕньшим диаметром поперечное сечение S2 = S0 / 4 , потому что площадь сечения пропорциональна квадрату диаметра. Значит линейная скорость в этой части
v2 = Q0 / S2 = 4*v = 0,2 м/сек
В части трубы с вдвое мЕньшей площадью поперечного сечения
S3 = S0 / 2 линейная скорость будет равна
v3 = Q0 / S3 = 2*v = 0,1 м/сек
Вода практически не сжимается при сужении диаметра трубы. Труба НЕ разветвляется. Поэтому, объёмная скорость воды в исходном сечении трубы
Q0 = v*S0
равна объёмной скорости в других частях трубы с мЕньшим сечением или диаметром.
Q2 = v2*S2 = Q0
Здесь v = 0,05 м/сек - линейная скорость воды в исходном сечении S0 .
В части трубы с вдвое мЕньшим диаметром поперечное сечение S2 = S0 / 4 , потому что площадь сечения пропорциональна квадрату диаметра. Значит линейная скорость в этой части
v2 = Q0 / S2 = 4*v = 0,2 м/сек
В части трубы с вдвое мЕньшей площадью поперечного сечения
S3 = S0 / 2 линейная скорость будет равна
v3 = Q0 / S3 = 2*v = 0,1 м/сек
5
Это самое лучшее решение!
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