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Консультация № 200630
12.04.2021, 14:23
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Здравствуйте! У меня возникли сложности с таким вопросом: точка движется по окружности радиусом R=0,15 м с постоянным тангенциальным ускорением. найдите нормальное ускорение точки через 10 с после начала движения, если известно, что к концу 5-го оборота после начала движения линейная скорость точки равна 10 см/с.
Обсуждение
13.04.2021, 10:16
общий
это ответ
Здравствуйте, vladislav.makeev88!
Предлагаю Вам следующее решение задачи.
Дано:
м -- радиус траектории точки; 
м/с -- линейная скорость точки к концу пятого оборота.
Определить:
-- нормальное ускорение точки через 
с после начала движения.
Если точка движется по окружности с постоянным тангенциальным ускорением, то постоянно и угловое ускорение
точки. К концу пятого оборота точка совершит угловое перемещение 
(рад), а её угловая скорость составит 
(рад/с).
Из формул
и 
получим 
и 
Следовательно,
(рад/с2),
(рад/с),
(м/с2).
Ответ:
м/с2.
Предлагаю Вам следующее решение задачи.
Дано:
м -- радиус траектории точки; м/с -- линейная скорость точки к концу пятого оборота.Определить:
-- нормальное ускорение точки через с после начала движения.Решение
Если точка движется по окружности с постоянным тангенциальным ускорением, то постоянно и угловое ускорение
точки. К концу пятого оборота точка совершит угловое перемещение (рад), а её угловая скорость составит (рад/с).Из формул
и получим и Следовательно, (рад/с2), (рад/с), (м/с2).Ответ:
м/с2.
5
Об авторе:
Facta loquuntur.
Facta loquuntur.
Форма ответа
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