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Задать вопрос экспертам

Консультация № 197083

13.11.2019, 19:23

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Образование

Здравствуйте! У меня возникли сложности с таким вопросом:

Угловая скорость тела изменяется по закону w(омега) = 2t^3 . Найти at-? при r=0,2м t=2с

Обсуждение

давно

Посетитель
226425
1567

14.11.2019, 18:05

общий

это ответ

Здравствуйте, GunfingerVova!
Дано:
[$969$]=2t³
r=0,2 м
t=2 c
Найти: a_т
Решение:
Предлагаю два пути решения
1.
v=[$969$]*r
Следовательно скорость - это функция времени v(t)=2*r*t³
Тангенциальное ускорение a_т - производная от скорости по времени
a_т=v'(t) = 6*r*t²
Тогда, через 2 с, а_т = 4,8 м/с²
2.
Угловое ускорение - производная угловой скорости по времени
[epsilon](t)=[$969$]'(t)=6*t²
при t=2 c, [epsilon]= 24 с^-2
Далее
a_т=[epsilon]*r = 4,8 м/с²

Удачи

Об авторе:
С уважением
shvetski

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