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Консультация № 146278
06.10.2008, 23:18
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Помогите пожалуйста решить:
Диск радиусом 20 см вращается согласно уравнению ф(альфа) = А + Вt +
+ Сt3, где А = 3 рад, В = -1 рад/с, С = 0,1 рад/с3. Определить тангенци¬
альное, нормальное и полное ускорения точек на окружности диска для
момента времени t= 10 с.
Диск радиусом 20 см вращается согласно уравнению ф(альфа) = А + Вt +
+ Сt3, где А = 3 рад, В = -1 рад/с, С = 0,1 рад/с3. Определить тангенци¬
альное, нормальное и полное ускорения точек на окружности диска для
момента времени t= 10 с.
Обсуждение
Неизвестный
07.10.2008, 14:09
общий
это ответ
Здравствуйте, Иванов Олег Иванович!
Угловую скорость вращения найдем, продифф. функцию зависимости угла поворота от
времени:
ω(t)= -1 +0,1*3*t^2.
Угловое ускорение вращения найдем, продифф. функцию зависимости угловой скорости
от времени:
β(t)= 0,6*t.
Числовые значения для времени t=10 с:
ω= 29, β= 6.
Нормальное ускорение an = r* ω^2
an = 0,2* 841= 168,2
Тангенциальное ускорение:
at = β/r,
at = 6/0,2 =30.
Полное ускорение:
a = (at^2 + an^2)^(0,5) = 170,85 (м/с^2).
Угловую скорость вращения найдем, продифф. функцию зависимости угла поворота от
времени:
ω(t)= -1 +0,1*3*t^2.
Угловое ускорение вращения найдем, продифф. функцию зависимости угловой скорости
от времени:
β(t)= 0,6*t.
Числовые значения для времени t=10 с:
ω= 29, β= 6.
Нормальное ускорение an = r* ω^2
an = 0,2* 841= 168,2
Тангенциальное ускорение:
at = β/r,
at = 6/0,2 =30.
Полное ускорение:
a = (at^2 + an^2)^(0,5) = 170,85 (м/с^2).
Форма ответа
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