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Консультация № 199877
15.12.2020, 09:44
0.00 руб.
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Здравствуйте! У меня возникли сложности с таким вопросом: Волна с периодом 1,6 с и амплитудой колебаний 8 см распространяется со скоростью 25 м/с. Чему равно смещение точки, находящейся на расстоянии 75 см от источника волн, в тот момент, когда от начала колебаний источника прошло время 2 с? Чему равна скорость колебаний этой точки?
Обсуждение
20.12.2020, 09:18
общий
это ответ
Здравствуйте, ira.medvedeva00!
В общем случае смещение и скорость точек среды в момент времени t на расстоянии x от источника волн с амплитудой A, скоростью v и частотой [$957$], описывается уравнениями
В данном случае A = 8 см = 0.08 м, [$957$] = 1/T = 1/1.6 = 0.625 с[sup]-1[/sup], v = 25 м/с и уравнения принимают вид
В частности, для x = 25 см = 0.25 м и t = 2 с получаем
[$958$](0.25, 2) = 0.08 sin 1.25 [$960$](2-0.25/25) [$8776$] 0.08 м = 8 см,
v(0.25, 2) = 0.1*3.1416*cos 1.25 [$960$](2-0.25/25) [$8776$] 0.0123 м/с = 1.23 см/с.
В общем случае смещение и скорость точек среды в момент времени t на расстоянии x от источника волн с амплитудой A, скоростью v и частотой [$957$], описывается уравнениями
В данном случае A = 8 см = 0.08 м, [$957$] = 1/T = 1/1.6 = 0.625 с[sup]-1[/sup], v = 25 м/с и уравнения принимают вид
В частности, для x = 25 см = 0.25 м и t = 2 с получаем
[$958$](0.25, 2) = 0.08 sin 1.25 [$960$](2-0.25/25) [$8776$] 0.08 м = 8 см,
v(0.25, 2) = 0.1*3.1416*cos 1.25 [$960$](2-0.25/25) [$8776$] 0.0123 м/с = 1.23 см/с.
Форма ответа
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