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Консультация № 138670
30.05.2008, 13:16
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114. Твёрдое тело вращается вокруг неподвижной оси по закону
? = 6,0 t -2,0 t3. Найти средние значения угловой скорости и углового ускорения за промежуток времени от t = 0 до остановки.
? = 6,0 t -2,0 t3. Найти средние значения угловой скорости и углового ускорения за промежуток времени от t = 0 до остановки.
Обсуждение
Неизвестный
30.05.2008, 17:22
общий
это ответ
Здравствуйте, Павел Сергеевич!
Найдем вначале угловую скорость:
ф=6t-2t^3
w=ф‘=6-6t^2
тело остановиться когда его угловая скорость будет равна нулю
w=0
6-6t^2=0
t=1
средняя скорость это весь путь деленный на время, только в нашем случае не путь а угол в радианах, а угловое ускорение разность угловых скоростей за данный интервал времени
<w>=(ф(1)-ф(0))/1=4рад/с - средняя угловая скорость
<e>=(w(1)-w(0))/1=-рад/с^2
Найдем вначале угловую скорость:
ф=6t-2t^3
w=ф‘=6-6t^2
тело остановиться когда его угловая скорость будет равна нулю
w=0
6-6t^2=0
t=1
средняя скорость это весь путь деленный на время, только в нашем случае не путь а угол в радианах, а угловое ускорение разность угловых скоростей за данный интервал времени
<w>=(ф(1)-ф(0))/1=4рад/с - средняя угловая скорость
<e>=(w(1)-w(0))/1=-рад/с^2
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