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Консультация № 194284
24.12.2018, 13:38
0.00 руб.
24.12.2018, 15:19
0
2
1
Здравствуйте, уважаемые эксперты! Прошу вас ответить на следующий вопрос:
Частица движется по окружности радиуса R . Угол поворота радиус-вектора
частицы меняется со временем по закону [$966$](t) . Найти число оборотов N ,
которые частица совершит в интервале времени от t1 до t2 . Найти модули
векторов тангенциального a[$964$] , нормального an и полного a ускорений, а
также угол [$945$] между векторами тангенциального и полного ускорений в
момент времени t2 .
[$966$](t)= At
Частица движется по окружности радиуса R . Угол поворота радиус-вектора
частицы меняется со временем по закону [$966$](t) . Найти число оборотов N ,
которые частица совершит в интервале времени от t1 до t2 . Найти модули
векторов тангенциального a[$964$] , нормального an и полного a ускорений, а
также угол [$945$] между векторами тангенциального и полного ускорений в
момент времени t2 .
[$966$](t)= At
Обсуждение
26.12.2018, 08:32
общий
Адресаты:
Числовые значения величин в условии задачи не указаны?
Об авторе:
Facta loquuntur.
Facta loquuntur.
27.12.2018, 13:52
общий
это ответ
Здравствуйте, Jonik!
Вы не указали числовые значения величин, поэтому я решил задачу в общем виде.
-- количество оборотов, которые частица совершит в интервале времени от 
до 
-- угловая скорость частицы;
частица движется с постоянной угловой скоростью, поэтому её тангенциальное ускорение в любой момент времени равно нулю, а нормальное ускорение в любой момент времени направлено к центру окружности и по абсолютной величине равно
Полное ускорение частицы совпадает с нормальным и является центростремительным.
Вы не указали числовые значения величин, поэтому я решил задачу в общем виде.
-- количество оборотов, которые частица совершит в интервале времени от до -- угловая скорость частицы;частица движется с постоянной угловой скоростью, поэтому её тангенциальное ускорение в любой момент времени равно нулю, а нормальное ускорение в любой момент времени направлено к центру окружности и по абсолютной величине равно
Полное ускорение частицы совпадает с нормальным и является центростремительным.
Об авторе:
Facta loquuntur.
Facta loquuntur.
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