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Уважаемые эксперты! Пожалуйста, ответьте на вопрос: Ускорение при круговом движении. Тело движется по окружности с постоянной по величине скоростью v = 50 см/сек. Вектор скорости v изменяет направление на 30° за 2 сек. а) Найти абсолютную величину вектора изменения скорости ∆v. б) Найти абсолютную величину среднего ускорения в течение этого промежутка времени. в) Найти центростремительное ускорение этого равномерного кругового движения? Ответ. 13,1 см/сек2. *) Допустить, что падение является свободным. (Прим. ред.)
Если тело движется по окружности с постоянной скоростью, причём вектор его линейной (окружной) скорости изменяет направление на рад за время с, то и радиус-вектор тела изменяет своё направление на ту же величину за то же время. [1, с. 30] Угловая скорость тела составляет
(рад/с).
По теореме косинусов [2, с. 12] абсолютная величина вектора изменения скорости составляет
(см/с)
(здесь -- радиус окружности (в см), по которой движется тело; в условии задачи он почему-то не указан).
Тангенциальное ускорение при равномерном движении по окружности отсутствует [1, с. 30], поэтому абсолютная величина среднего ускорения тела за любой промежуток времени равна его нормальному (центростремительному) ускорению и составляет
(см/с2).
А это указание, по-моему, не имеет отношения к рассматриваемой задаче: Цитата: dar777
*) Допустить, что падение является свободным. (Прим. ред.)
Литература 1. Яворский Б. М., Селезнёв Ю. А. Справочное руководство по физике для поступающих в вузы и для самообразования. -- М.: Наука, 1989. -- 576 с. 2. Цыпкин А. Г., Цыпкин Г. Г. Математические формулы. -- М.: Наука, 1985. -- 128 с.
5
Это самое лучшее решение!
Об авторе:
Facta loquuntur.
Форма ответа
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его линейной (окружной) скорости изменяет направление на 
рад за время 
с, то и радиус-вектор 
тела изменяет своё направление на ту же величину за то же время. [1, с. 30] Угловая скорость тела составляет
(рад/с).
(см/с)
-- радиус окружности (в см), по которой движется тело; в условии задачи он почему-то не указан).
(см/с2).
dar777