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Консультация № 196578
05.10.2019, 09:49
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Уважаемые эксперты! Пожалуйста, ответьте на вопрос:
Найти разность фаз колебаний двух точек, лежащих на луче и отстоящих от источника колебаний соответственно на 10 м и 16 м, если длина волны 12 м.
Найти разность фаз колебаний двух точек, лежащих на луче и отстоящих от источника колебаний соответственно на 10 м и 16 м, если длина волны 12 м.
Обсуждение
08.10.2019, 19:26
общий
это ответ
Здравствуйте, arty324gh!
Дано: x1=10 м, x2=16 м -- соответственно расстояния от источника колебаний до первой и второй точек; [$955$]=12 м -- длина волны.
Определить: [$916$][$966$]=[$966$]2-[$966$]1 -- разность фаз колебаний указанных точек.
Решение
В соответствии с известными формулами [1, с. 189], [$969$]=2[$960$]/T -- циклическая частота колебаний, T -- период колебаний, [$955$]=[$965$]T -- длина волны, [$965$] -- скорость распространения волны. Тогда T=[$955$]/[$965$], [$969$]=2[$960$][$965$]/[$955$], [$965$]=[$969$][$955$]/(2[$960$]). Из выражения для фазы колебаний в произвольный момент времени t получим
Ответ: -[$960$][$8776$]-3,14 рад.
Литература
1. Груздёв В. А. и др. Физика. В 2 ч. Ч. 2. -- Минск: РИВШ, 2009. -- 312 с.
Дано: x1=10 м, x2=16 м -- соответственно расстояния от источника колебаний до первой и второй точек; [$955$]=12 м -- длина волны.
Определить: [$916$][$966$]=[$966$]2-[$966$]1 -- разность фаз колебаний указанных точек.
Решение
В соответствии с известными формулами [1, с. 189], [$969$]=2[$960$]/T -- циклическая частота колебаний, T -- период колебаний, [$955$]=[$965$]T -- длина волны, [$965$] -- скорость распространения волны. Тогда T=[$955$]/[$965$], [$969$]=2[$960$][$965$]/[$955$], [$965$]=[$969$][$955$]/(2[$960$]). Из выражения для фазы колебаний в произвольный момент времени t получим
[$966$]=[$969$](t-x/[$965$])=[$969$](t-2[$960$]x/([$969$][$955$]))=[$969$]t-2[$960$]x/[$955$], рад;
[$966$]1=[$969$]t-2[$960$]x1/[$955$], рад;
[$966$]2=[$969$]t-2[$960$]x2/[$955$], рад;
[$916$][$966$]=[$966$]2-[$966$]1=([$969$]t-2[$960$]x2/[$955$])-([$969$]t-2[$960$]x1/[$955$])=(2[$960$]/[$955$])(x1-x2)=(2*[$960$]/12)*(10-16)=-[$960$][$8776$]-3,14 (рад).
Ответ: -[$960$][$8776$]-3,14 рад.
Литература
1. Груздёв В. А. и др. Физика. В 2 ч. Ч. 2. -- Минск: РИВШ, 2009. -- 312 с.
Об авторе:
Facta loquuntur.
Facta loquuntur.
Форма ответа
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