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Задать вопрос экспертам

Консультация № 174011

06.11.2009, 12:46

0.00 руб.

0 1 1

Образование

Доброго времени суток! Помогите, пожалуйста, с такой задачей:

Материальная точка движется по окружности радиусом 1м. Зависимость пройденного пути от времени S = At² (А = 1м/с²) (м). Определить ускорение точки в момент времени t = 1с.

Спасибо!

Обсуждение

давно

Посетитель
226425
1567

06.11.2009, 13:43

общий

это ответ

Здравствуйте, MrSpencer.
Скорость точки - первая производная пути
v(t)=S`(t)=2At (м/с).
В момент времени t=1 с v=2*1*1=2 м/с
Тангенциальное ускорение
а_т=v`(t)=2A м/с² - постоянно и не зависит от времени.
а_т=2*1=2 м/с²
Нормальное ускорение
a_n=v²/R=2²/1=4 м/с²
Тогда полное ускорение
a=[$8730$](a_n²+a_т²)=[$8730$](4²+2²)~4.5 м/с²

Удачи

5

Спасибо большое за решение задачи! =)

Об авторе:
С уважением
shvetski

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