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Консультация № 160918
19.02.2009, 18:44
0.00 руб.
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Колесо турбины радиусом 1м из состояния покоя приводят во вращение, при этом за одну минуту при равноускоренном движении оно достигло угловой скорости 24 рад/с. Определить угловое ускорение; число оборотов, которое сделает колесо за это время; линейную скорость точек обода колеса при этой угловой скорости
Обсуждение
19.02.2009, 21:05
общий
это ответ
Здравствуйте, Сидоров Алексей Валерьевич!
Угловое ускорение ε=ω/t=24рад/с/60с=0,4 рад/с2
За указанное время турбина поворачивается на φ=ε*t2/2=0,4рад/с[sup]2[/sup]*(60с)2/2=720 рад
что составляет φ/2π=114,6 оборотов
Линейная скорость точек v=ω*r=24рад/с*1м=24 м/с
Угловое ускорение ε=ω/t=24рад/с/60с=0,4 рад/с2
За указанное время турбина поворачивается на φ=ε*t2/2=0,4рад/с[sup]2[/sup]*(60с)2/2=720 рад
что составляет φ/2π=114,6 оборотов
Линейная скорость точек v=ω*r=24рад/с*1м=24 м/с
Неизвестный
19.02.2009, 21:10
общий
это ответ
Здравствуйте, Сидоров Алексей Валерьевич!
Угловое ускорение: е=w/t=24/60=0.4 рад/с2
линейная скорость: v=Rw=1*24=24 м/с
За время t колесо повернется на f=et^2/2 радиан. В одном обороте колеса 2*пи радиан. Получаем: N=f/(2*пи)=et^2/(4*пи)=wt/(4*пи)=24*60/(4*3.14)=114,65 об.
Угловое ускорение: е=w/t=24/60=0.4 рад/с2
линейная скорость: v=Rw=1*24=24 м/с
За время t колесо повернется на f=et^2/2 радиан. В одном обороте колеса 2*пи радиан. Получаем: N=f/(2*пи)=et^2/(4*пи)=wt/(4*пи)=24*60/(4*3.14)=114,65 об.
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