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Консультация № 199228
28.09.2020, 17:07
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Здравствуйте, уважаемые эксперты! Прошу вас ответить на следующий вопрос:
Частица из состояния покоя начала двигаться по дуге окружности радиуса R = 1м со скоростью, модуль которой зависит от времени по закону v = A t/T. Найти отношение нормального и тангенциального ускорения частицы через время t = 1c, если T = 1c. А = 4 м/с.
Заранее спасибо!
Частица из состояния покоя начала двигаться по дуге окружности радиуса R = 1м со скоростью, модуль которой зависит от времени по закону v = A t/T. Найти отношение нормального и тангенциального ускорения частицы через время t = 1c, если T = 1c. А = 4 м/с.
Заранее спасибо!
Обсуждение
29.09.2020, 01:46
общий
это ответ
Здравствуйте, savelev.perm.bio!
Дано:
v0=0
R = 1м
v(t) = (A/T)*t (*)
T = 1c
А = 4 м/с
t = 1c
Найти:
an/aт
Решение:
Уравнение скорости при равноускоренном движении в общем виде
v(t)=v0+aт*t (1)
Сравни (1) с уравнением (*) в условии.
Следовательно, тангенциальное ускорение
aт=А/Т = 4 м/с2 - не зависит от времени.
Тогда скорость частицы через t=1c
v1=4*1 = 4 м/с
Тогда нормальное ускорение в этот момент
an=v12/R = 16 м/с2
Тогда искомое отношение
an/aт=16/4=4
Удачи
Дано:
v0=0
R = 1м
v(t) = (A/T)*t (*)
T = 1c
А = 4 м/с
t = 1c
Найти:
an/aт
Решение:
Уравнение скорости при равноускоренном движении в общем виде
v(t)=v0+aт*t (1)
Сравни (1) с уравнением (*) в условии.
Следовательно, тангенциальное ускорение
aт=А/Т = 4 м/с2 - не зависит от времени.
Тогда скорость частицы через t=1c
v1=4*1 = 4 м/с
Тогда нормальное ускорение в этот момент
an=v12/R = 16 м/с2
Тогда искомое отношение
an/aт=16/4=4
Удачи
Об авторе:
С уважением
shvetski
С уважением
shvetski
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