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Консультация № 198374
25.04.2020, 16:14
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Здравствуйте! Прошу помощи в следующем вопросе:
Доплеровский сдвиг частоты при отражении механической волны от движущихся эритроцитов равен Δν= 50 Гц, частота генератора равна 100 кГц. Оцените скорость движения крови в кровеносном сосуде. Скорость УЗ волны 1520 м/с.
Доплеровский сдвиг частоты при отражении механической волны от движущихся эритроцитов равен Δν= 50 Гц, частота генератора равна 100 кГц. Оцените скорость движения крови в кровеносном сосуде. Скорость УЗ волны 1520 м/с.
Обсуждение
26.04.2020, 12:39
общий
это ответ
Здравствуйте, averyanova_av2112!
Дано: частота генератора F = 100 кГц = 105 Гц, Доплер-сдвиг [$916$]F = 50 Гц, Скорость УЗ (ультра-звука) в крови Vу = 1520 м/с .
Вычислить скорость Vк движения крови.
Решение : Сдвиг частот при эффекте Доплера представляет собой изменение частоты УЗ-сигнала при отражении от эритроцитов, т.е.:
[$916$]F = Fo - F = F·Vу / (Vу -Vк) - F = Vк·F / (Vу -Vк)
здесь Fo -частота сигнала, отраженного от эритроцитов, Vк - скорость кровотока,
Отсюда : [$916$]F·Vу - [$916$]F·Vк = Vк·F
Скорость крови : Vк = [$916$]F·Vу / (F + [$916$]F) = 50·1520 / (100 000 + 50) = 50·1520 / 100050 = 0,76 м/с
Ответ : Скорость движения крови в сосуде равна 76 см/с .
См учебно-методич статьи "Волны \ Эффект Доплера" Ссылка1 , Ссылка2
Решение похожей задачи см rfpro.ru/question/196049
Дано: частота генератора F = 100 кГц = 105 Гц, Доплер-сдвиг [$916$]F = 50 Гц, Скорость УЗ (ультра-звука) в крови Vу = 1520 м/с .
Вычислить скорость Vк движения крови.
Решение : Сдвиг частот при эффекте Доплера представляет собой изменение частоты УЗ-сигнала при отражении от эритроцитов, т.е.:
[$916$]F = Fo - F = F·Vу / (Vу -Vк) - F = Vк·F / (Vу -Vк)
здесь Fo -частота сигнала, отраженного от эритроцитов, Vк - скорость кровотока,
Отсюда : [$916$]F·Vу - [$916$]F·Vк = Vк·F
Скорость крови : Vк = [$916$]F·Vу / (F + [$916$]F) = 50·1520 / (100 000 + 50) = 50·1520 / 100050 = 0,76 м/с
Ответ : Скорость движения крови в сосуде равна 76 см/с .
См учебно-методич статьи "Волны \ Эффект Доплера" Ссылка1 , Ссылка2
Решение похожей задачи см rfpro.ru/question/196049
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