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Консультация № 144885
24.09.2008, 14:57
0.00 руб.
0
2
2
Поперечная волна распростроняеться вдоль упругого шнура со скоростью 15м\с.Период колебаний точек шнура равен 1,2с, амплитуда А=1м. Определить:1)длину волны, 2)фазу колебаний, 3) разность фаз колебаний двух точек, лежащих на одном луче и отстоящих друг от друга на расстоянии 20 м.
заранее спасибо!!!
заранее спасибо!!!
Обсуждение
Неизвестный
25.09.2008, 12:26
общий
это ответ
Здравствуйте, Кристиан Сергеевич Гендаль!
Длина волны определяется по формуле:
ламбда=v*T.
ламбда= 15 * 1,2 = 18 м/с.
фаза колебаний = ((2*Пи*t/T)+ фи(нач))
разность фаз колебаний двух точек :
дельта фи =2*Пи*L/(T*v) = 2 *3,1415 * 20 /(1,2* 15) = 6,98
Длина волны определяется по формуле:
ламбда=v*T.
ламбда= 15 * 1,2 = 18 м/с.
фаза колебаний = ((2*Пи*t/T)+ фи(нач))
разность фаз колебаний двух точек :
дельта фи =2*Пи*L/(T*v) = 2 *3,1415 * 20 /(1,2* 15) = 6,98
Неизвестный
25.09.2008, 17:26
общий
это ответ
Здравствуйте, Кристиан Сергеевич Гендаль!
В ответе Valeriy81 ошибка: дано выражение для фазы колебаний, но для фазы волны ко временной добавляется и пространственная составляющая, т.е. fi=2*pi/T*(t-x/V), где x- расстояние "от источника" волны до данной точки, V - скорость распространения волны, t - время; с учетом данных из условия выражение для фазы будет выглядить как:
fi=2*pi/1,2*(t-x/15)=1,67*pi*(t-x/15)
и разность фаз двух точек, находящихся на расстоянии 20 м будет равна:
deltha(fi)=1,67*([$916$]x/15)=1,67*20/15=2,2*pi рад
В ответе Valeriy81 ошибка: дано выражение для фазы колебаний, но для фазы волны ко временной добавляется и пространственная составляющая, т.е. fi=2*pi/T*(t-x/V), где x- расстояние "от источника" волны до данной точки, V - скорость распространения волны, t - время; с учетом данных из условия выражение для фазы будет выглядить как:
fi=2*pi/1,2*(t-x/15)=1,67*pi*(t-x/15)
и разность фаз двух точек, находящихся на расстоянии 20 м будет равна:
deltha(fi)=1,67*([$916$]x/15)=1,67*20/15=2,2*pi рад
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