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Консультация № 171080
05.08.2009, 14:30
0.00 руб.
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1
Здравствуйте эксперты, помогите пожалуйста с задачкой:
Пространство между двумя стеклянными параллельными пластинами с площадью поверхности S=100см^2 каждая расположены на расстоянии l=20мкм друг от друга, заполнено водой. Определить силу F, прижимающую пластины друг к другу . Считать мениск вогнутым с диаметром d, равным расстоянию между пластинами
Пространство между двумя стеклянными параллельными пластинами с площадью поверхности S=100см^2 каждая расположены на расстоянии l=20мкм друг от друга, заполнено водой. Определить силу F, прижимающую пластины друг к другу . Считать мениск вогнутым с диаметром d, равным расстоянию между пластинами
Обсуждение
06.08.2009, 20:34
общий
08.08.2009, 07:07
это ответ
Здравствуйте, Tribak.
Мениск можно считать цилиндрическим, поскольку кривизна поверхности жидкости велика только в одном направлении. Давление Лапласа для цилиндрического мениска равно:
p = σ/r,
где r = d/2 - радиус мениска, σ - поверхностное натяжение воды.
Мениск вогнутый, поэтому давление отрицательно и прижимает пластины с силой:
F = p*S = 2*σ*S/d.
Подставляя численные значения (в системе СИ), получим:
F = 2*72.8*10-3*10-2/2*10-5 = 72.8 H.
Мениск можно считать цилиндрическим, поскольку кривизна поверхности жидкости велика только в одном направлении. Давление Лапласа для цилиндрического мениска равно:
p = σ/r,
где r = d/2 - радиус мениска, σ - поверхностное натяжение воды.
Мениск вогнутый, поэтому давление отрицательно и прижимает пластины с силой:
F = p*S = 2*σ*S/d.
Подставляя численные значения (в системе СИ), получим:
F = 2*72.8*10-3*10-2/2*10-5 = 72.8 H.
5
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