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Консультация № 196069
08.08.2019, 11:05
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Уважаемые эксперты! Пожалуйста, ответьте на вопрос:
Используя закон Стокса, определите, в течение какого времени в комнате высотой h = 3 м полностью выпадает пыль. Частицы пыли считать шарообразными диаметром 1 мкм с плотностью вещества ρ = 2,5 г/см3 (ρвозд = 1,29 кг/м3).
Используя закон Стокса, определите, в течение какого времени в комнате высотой h = 3 м полностью выпадает пыль. Частицы пыли считать шарообразными диаметром 1 мкм с плотностью вещества ρ = 2,5 г/см3 (ρвозд = 1,29 кг/м3).
Обсуждение
10.08.2019, 07:46
общий
это ответ
Здравствуйте, dar777!
Согласно [1, с. 351], силу сопротивления
действующую со стороны жидкости на медленно движущееся в ней тело шарообразной формы, определяют по формуле Стокса:
где
-- радиус тела, 
-- его скорость, 
-- коэффициент динамической вязкости жидкости. Формула справедлива при 
-- плотность жидкости.
Скорость
установившегося падения твёрдого шара в вязкой жидкости, происходящего под действием силы тяжести, в пределах применимости формулы Стокса равна
где
-- плотность шара, 
-- ускорение свободного падения.
Как указано здесь, коэффициент динамической вязкости воздуха при нормальном атмосферном давлении и температуре
составляет 
Па*с. Тогда в Вашем случае, если падение пылинок является установившимся с высоты 
искомое время составляет
(с).
Литература
1. Яворский Б. М., Детлаф А. А., Лебедев А. К. Справочник по физике для инженеров и студентов вузов. -- М.: ООО "Издательство Оникс", 2007. -- 1056 с.
Согласно [1, с. 351], силу сопротивления
действующую со стороны жидкости на медленно движущееся в ней тело шарообразной формы, определяют по формуле Стокса:где
-- радиус тела, -- его скорость, -- коэффициент динамической вязкости жидкости. Формула справедлива при -- плотность жидкости.Скорость
установившегося падения твёрдого шара в вязкой жидкости, происходящего под действием силы тяжести, в пределах применимости формулы Стокса равнагде
-- плотность шара, -- ускорение свободного падения.Как указано здесь, коэффициент динамической вязкости воздуха при нормальном атмосферном давлении и температуре
составляет Па*с. Тогда в Вашем случае, если падение пылинок является установившимся с высоты искомое время составляет (с).Литература
1. Яворский Б. М., Детлаф А. А., Лебедев А. К. Справочник по физике для инженеров и студентов вузов. -- М.: ООО "Издательство Оникс", 2007. -- 1056 с.
5
Это самое лучшее решение!
Об авторе:
Facta loquuntur.
Facta loquuntur.
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