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Консультация № 202001
27.12.2021, 23:12
0.00 руб.
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1
Здравствуйте! У меня возникли сложности с таким вопросом:
Десантный вертолетоносец (корабль, с поверхности которого взлетает вертолёт) движется со скоростью 9 м/с, скорость горизонтального ветра 6 м/с. Эти скорости постоянны по величине, направлению и взаимно перпендикулярны.
В системе отсчета вертолетоносца вертолет взлетает с вертикальной скоростью 10 м/с. Найдите величину скорости ветра в системе отсчета, связанной с вертолетом. Ответ приведите в [м/с]
Десантный вертолетоносец (корабль, с поверхности которого взлетает вертолёт) движется со скоростью 9 м/с, скорость горизонтального ветра 6 м/с. Эти скорости постоянны по величине, направлению и взаимно перпендикулярны.
В системе отсчета вертолетоносца вертолет взлетает с вертикальной скоростью 10 м/с. Найдите величину скорости ветра в системе отсчета, связанной с вертолетом. Ответ приведите в [м/с]
Обсуждение
01.01.2022, 17:57
общий
это ответ
Здравствуйте! Предлагаю Вам следующее решение:
Дано: v = 9 м/с, u = 6 м/с, v1 = 10 м/с.
Найти:
- ?
Решение:
Введем ось x, сонаправленную с направлением движения вертолетоносца; ось y, сонаправленную с направлением ветра; ось z, направленную вертикально вверх. Запись ([$969$]1, [$969$]2, [$969$]3) будет означать, что проекция скорости на ось x равна [$969$]1, на ось y - [$969$]2, на ось z - [$969$]3.
Воспользуемся классическим законом сложения скоростей: пусть базовая СО связана с землёй, подвижная СО связана с вертолетоносцем. Рассмотрим движение вертолета в данной ПСО. Переносная скорость равна (v, 0, 0). Относительная скорость (0, 0, v1). Следовательно, абсолютная скорость равна (v, 0, v1). Это и есть скорость вертолета в базовой СО.
Воспользуемся законом сложения скоростей ещё раз: пусть базовая СО связана с землёй, подвижная СО связана с вертолётом. Рассмотрим движение ветра в данной ПСО. Переносная скорость (v, 0, v1). Абсолютная скорость (0, u, 0). Значит относительная скорость (-v, u, -v1). Эта относительная скорость и есть скорость ветра относительно вертолета. Значит, её модулю
Ответ: [$8776$] 14.73 м/с
Дано: v = 9 м/с, u = 6 м/с, v1 = 10 м/с.
Найти:
- ?Решение:
Введем ось x, сонаправленную с направлением движения вертолетоносца; ось y, сонаправленную с направлением ветра; ось z, направленную вертикально вверх. Запись ([$969$]1, [$969$]2, [$969$]3) будет означать, что проекция скорости на ось x равна [$969$]1, на ось y - [$969$]2, на ось z - [$969$]3.
Воспользуемся классическим законом сложения скоростей: пусть базовая СО связана с землёй, подвижная СО связана с вертолетоносцем. Рассмотрим движение вертолета в данной ПСО. Переносная скорость равна (v, 0, 0). Относительная скорость (0, 0, v1). Следовательно, абсолютная скорость равна (v, 0, v1). Это и есть скорость вертолета в базовой СО.
Воспользуемся законом сложения скоростей ещё раз: пусть базовая СО связана с землёй, подвижная СО связана с вертолётом. Рассмотрим движение ветра в данной ПСО. Переносная скорость (v, 0, v1). Абсолютная скорость (0, u, 0). Значит относительная скорость (-v, u, -v1). Эта относительная скорость и есть скорость ветра относительно вертолета. Значит, её модулю
Ответ:
[$8776$] 14.73 м/с
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