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Консультация № 173291
15.10.2009, 09:17
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Решите пожайлусто, буду благодарен!
Плоская синусоидальная волна распространяется вдоль прямой, совпадающей с положительным направлением оси X в среде, не поглощающей энергию, со скоросстью 10м/с две точки, находящиеся на этой прямой на расстоянии X1=7м и X2=10м от источника колебаний, колеблються с разностью фаз [$916$][$966$]=3[$8719$]/5. Амплитуда волны 5 см. Запишите уравнение волны и определите ее длину.
Спасибо!
Плоская синусоидальная волна распространяется вдоль прямой, совпадающей с положительным направлением оси X в среде, не поглощающей энергию, со скоросстью 10м/с две точки, находящиеся на этой прямой на расстоянии X1=7м и X2=10м от источника колебаний, колеблються с разностью фаз [$916$][$966$]=3[$8719$]/5. Амплитуда волны 5 см. Запишите уравнение волны и определите ее длину.
Спасибо!
Обсуждение
17.10.2009, 11:26
общий
это ответ
Здравствуйте, Усаков Сергей Александрович.
Дано: v = 10 м/с, r1 = X1 = 7 м, r2 = X2 = 10 м, ∆φ = 3π/5, A = 5 см = 0,05 м.
Определить: λ, x = x(A, ω, t, r, v).
Для решения задачи воспользуемся готовыми формулами:
λ = 2π(r2 – r1)/∆φ = 2π(10 – 7)/(3π/5) = 10 (м),
ω = 2πv/λ = 2 ∙ π ∙ 10/10 = 2π (с-1),
x = A ∙ sin ω(t – r/v) = 0,05 ∙ sin (2π(t – r/10)),
где x – смещение от положения равновесия точки среды, отстоящей от источника колебаний на расстоянии r в направлении распространения волны.
Ответ: λ = 10 м, x = 0,05 ∙ sin (2π(t – r/10)).
С уважением.
Дано: v = 10 м/с, r1 = X1 = 7 м, r2 = X2 = 10 м, ∆φ = 3π/5, A = 5 см = 0,05 м.
Определить: λ, x = x(A, ω, t, r, v).
Для решения задачи воспользуемся готовыми формулами:
λ = 2π(r2 – r1)/∆φ = 2π(10 – 7)/(3π/5) = 10 (м),
ω = 2πv/λ = 2 ∙ π ∙ 10/10 = 2π (с-1),
x = A ∙ sin ω(t – r/v) = 0,05 ∙ sin (2π(t – r/10)),
где x – смещение от положения равновесия точки среды, отстоящей от источника колебаний на расстоянии r в направлении распространения волны.
Ответ: λ = 10 м, x = 0,05 ∙ sin (2π(t – r/10)).
С уважением.
Об авторе:
Facta loquuntur.
Facta loquuntur.
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