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Консультация № 190060
18.11.2016, 12:21
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Здравствуйте, уважаемые эксперты! Прошу вас ответить на следующий вопрос:
Найдите силу натяжения каната, удерживающего воздушный шар объемом равным 300м3, заполненым гелием при атмосферном давлении Р=760 ммм рт.ст. Температура гелия ровна температуре окружающего воздуха t =27гадусов С. Масса оболочки шара m= 50кг. Молярная масса воздуха ровна 29 г/моль, молярная масса гелия ровна 4 г/моль. Ускорение свободного падения равно 10 м/с2
Найдите силу натяжения каната, удерживающего воздушный шар объемом равным 300м3, заполненым гелием при атмосферном давлении Р=760 ммм рт.ст. Температура гелия ровна температуре окружающего воздуха t =27гадусов С. Масса оболочки шара m= 50кг. Молярная масса воздуха ровна 29 г/моль, молярная масса гелия ровна 4 г/моль. Ускорение свободного падения равно 10 м/с2
Обсуждение
19.11.2016, 11:22
общий
это ответ
Здравствуйте, mila-sel!
Шар находится в равновесии под действием выталкивающей силы
направленной вертикально вверх, силы тяжести 
и силы натяжения 
каната, направленных вертикально вниз. В проекциях на вертикальную ось получим
откуда
Здесь
- масса оболочки (латинское tunica).
Согласно уравнению Клапейрона - Менделеева,
- для воздуха
- для гелия
Подставим выражения
в формулу 
Получим
(Н).
Здесь учтено, что 1 мм ртутного столба приблизительно равен 1,013*105 Па, 27 [$186$]С приблизительно равны 300 К.
Шар находится в равновесии под действием выталкивающей силы
направленной вертикально вверх, силы тяжести и силы натяжения каната, направленных вертикально вниз. В проекциях на вертикальную ось получимоткуда
Здесь
- масса оболочки (латинское tunica).Согласно уравнению Клапейрона - Менделеева,
- для воздуха
- для гелия
Подставим выражения
в формулу Получим (Н).Здесь учтено, что 1 мм ртутного столба приблизительно равен 1,013*105 Па, 27 [$186$]С приблизительно равны 300 К.
Об авторе:
Facta loquuntur.
Facta loquuntur.
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