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Консультация № 138667
30.05.2008, 13:15
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147. Якорь мотора вращается с частотой 1500 об/мин. Определить вра¬ща¬ю¬щий момент сил, если мотор развивает мощность 500 Вт.
Обсуждение
Неизвестный
30.05.2008, 14:21
общий
это ответ
Здравствуйте, Павел Сергеевич!
Как для случая определения мощности при поступательном движении существует известная формула P=F*V, где F - сила, а V - скорость, для случая вращательного движения существует аналогичная формула:
P=M*ω (1)
где М - искомый момент сил, ω - угловая скорость, которая связана с частотой n=1500 об/мин=25 об/с по формуле:
ω=2*pi*n (2)
Подставляя (2) в (1) выражаем М:
М=P/(2*pi*n)=500/(2*3,14*25)=3,18 Н*м
Как для случая определения мощности при поступательном движении существует известная формула P=F*V, где F - сила, а V - скорость, для случая вращательного движения существует аналогичная формула:
P=M*ω (1)
где М - искомый момент сил, ω - угловая скорость, которая связана с частотой n=1500 об/мин=25 об/с по формуле:
ω=2*pi*n (2)
Подставляя (2) в (1) выражаем М:
М=P/(2*pi*n)=500/(2*3,14*25)=3,18 Н*м
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