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Консультация № 198812
01.06.2020, 13:20
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Здравствуйте, уважаемые эксперты! Прошу вас ответить на следующий вопрос: Очень, очень нужно не могу решить...
Момент инерции барабана сепаратора «Урал-3» равен 9150 . Барабан вращается от электромотора с частотой 9000 об/мин. При кратко-временном отключении тока частота вращения снизилась до 3000 об/мин. Какую работу совершили за это время силы трения?
Момент инерции барабана сепаратора «Урал-3» равен 9150 . Барабан вращается от электромотора с частотой 9000 об/мин. При кратко-временном отключении тока частота вращения снизилась до 3000 об/мин. Какую работу совершили за это время силы трения?
Обсуждение
01.06.2020, 16:07
общий
Адресаты:
Вы не сообщили, в каких единицах измерения задан "Момент инерции барабана … 9150" .
Вообще, Момент инерции в системе СИ измеряется в кг·м2 . Но тк скорость у Вас задана 9000 об/мин - не в СИ, то и Момент инерции может быть не в СИ ?
Вообще, Момент инерции в системе СИ измеряется в кг·м2 . Но тк скорость у Вас задана 9000 об/мин - не в СИ, то и Момент инерции может быть не в СИ ?
01.06.2020, 16:17
общий
Адресаты:
Будем решать, будто задано в СИ, а если позже выяснится иное, Вы сможете пере-считать, согласны?
01.06.2020, 17:06
общий
это ответ
Здравствуйте, dast6498@gmail.com!
Условие : Момент инерции барабана равен J = 9150 кг·м2 ,
Начальная скорость вращения [$969$]1 = 9000 об/мин = 942 рад/с . Потому что 1 об/мин = 2·[$960$] / 60 = [$960$] / 30 рад/с .
Конечная скорость вращения [$969$]2 = 3000 об/мин = 314 рад/с .
Вычислить работу силы трения.
Решение : На основании закона сохранения энергии работа сил трения есть разность кинетических энергий барабана между состояниями до и после торможения.
A = W1 - W2
Кинетическая энергиия вращательного движения барабана равна: W = J·[$969$]2 / 2
где [$969$] - угловая скорость вращения барабана .
Тогда искомая работа A = W1 - W2 = J·[$969$]12 / 2 - J·[$969$]22 / 2 = (J/2)·([$969$]12 - [$969$]22) = (9150/2)·(9422 - 3142) = 3612·106 Дж
Ответ : Работа силы трения равна 3,6 ГДж .
См учебную статью "Момент инерции и силы трения маховика" Ссылка
Условие : Момент инерции барабана равен J = 9150 кг·м2 ,
Начальная скорость вращения [$969$]1 = 9000 об/мин = 942 рад/с . Потому что 1 об/мин = 2·[$960$] / 60 = [$960$] / 30 рад/с .
Конечная скорость вращения [$969$]2 = 3000 об/мин = 314 рад/с .
Вычислить работу силы трения.
Решение : На основании закона сохранения энергии работа сил трения есть разность кинетических энергий барабана между состояниями до и после торможения.
A = W1 - W2
Кинетическая энергиия вращательного движения барабана равна: W = J·[$969$]2 / 2
где [$969$] - угловая скорость вращения барабана .
Тогда искомая работа A = W1 - W2 = J·[$969$]12 / 2 - J·[$969$]22 / 2 = (J/2)·([$969$]12 - [$969$]22) = (9150/2)·(9422 - 3142) = 3612·106 Дж
Ответ : Работа силы трения равна 3,6 ГДж .
См учебную статью "Момент инерции и силы трения маховика" Ссылка
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