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Консультация № 201721
20.11.2021, 19:54
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2
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Помогите решить задачу под номером 2 исходя из задачи под номером 1
1 Время разгона автомобиля до скорости 190 км/ч составляет
19 секунд. Каково при этом среднее ускорение автомобиля?
Какой путь он пройдет во время разгона (если предположить, что
при разгоне автомобиль двигался равноускоренно)? Какова его
средняя скорость во время разгона?
2. Какова угловая скорость вращения колес автомобиля (из
задачи 1) при скорости 190 км/ч? Каково угловое ускорение колес
при разгоне? Сколько оборотов совершат колеса при разгоне?
Диаметр колеса равен 0,5 м.
1 Время разгона автомобиля до скорости 190 км/ч составляет
19 секунд. Каково при этом среднее ускорение автомобиля?
Какой путь он пройдет во время разгона (если предположить, что
при разгоне автомобиль двигался равноускоренно)? Какова его
средняя скорость во время разгона?
2. Какова угловая скорость вращения колес автомобиля (из
задачи 1) при скорости 190 км/ч? Каково угловое ускорение колес
при разгоне? Сколько оборотов совершат колеса при разгоне?
Диаметр колеса равен 0,5 м.
Обсуждение
21.11.2021, 13:45
общий
это ответ
Условие: Автомобиль двигаясь равноускоренно, разогнался до скорости Vk = 190 км/ч за время t = 19 сек.
Диаметр колеса D = 0,5 м.
Вычислить Угловую скорость [$969$] вращения колёс при скорости Vk,
Вычислить угловое ускорение [$949$] колёс и количество оборотов N колеса за время разгона.
Решение: Переводим конечную скорость в международную систему СИ : V = Vk·1000 / 3600 = 52,78 м/с .
Ускорение автомобиля при равно-ускоренном движении: a = V / t = 2,78 м/c2.
Радиус колеса: R = D/2 = 0,25 м.
Угловая скорость в конце разгона : [$969$] = V / R = 211,11 рад/сек.
Угловое ускорение при равно-ускоренном движении: [$949$] = [$969$] / t = 11,11 рад/с2.
Другой способ вычисления Углового ускорения : [$949$] = a / R = 11,11 рад/с2.
Путь автомобиля при разгоне: S = a·t2 / 2 = 501,39 м.
Длина отрезка пути за 1 оборот колеса: L = [$960$]·D = 1,57 м .
Кол-во оборотов колеса: N = S / L = 319,19 .
Ответ: за время разгона колёса сделают 319 оборотов, их Угловая скорость достигает 211 рад/с.
Угловое ускорение колёс равно 11,1 рад/с2.
см учебник "Физика в Средней школе" Аксенович, Ракина Ссылка 19,7 МБ, стр18.
Диаметр колеса D = 0,5 м.
Вычислить Угловую скорость [$969$] вращения колёс при скорости Vk,
Вычислить угловое ускорение [$949$] колёс и количество оборотов N колеса за время разгона.
Решение: Переводим конечную скорость в международную систему СИ : V = Vk·1000 / 3600 = 52,78 м/с .
Ускорение автомобиля при равно-ускоренном движении: a = V / t = 2,78 м/c2.
Радиус колеса: R = D/2 = 0,25 м.
Угловая скорость в конце разгона : [$969$] = V / R = 211,11 рад/сек.
Угловое ускорение при равно-ускоренном движении: [$949$] = [$969$] / t = 11,11 рад/с2.
Другой способ вычисления Углового ускорения : [$949$] = a / R = 11,11 рад/с2.
Путь автомобиля при разгоне: S = a·t2 / 2 = 501,39 м.
Длина отрезка пути за 1 оборот колеса: L = [$960$]·D = 1,57 м .
Кол-во оборотов колеса: N = S / L = 319,19 .
Ответ: за время разгона колёса сделают 319 оборотов, их Угловая скорость достигает 211 рад/с.
Угловое ускорение колёс равно 11,1 рад/с2.
см учебник "Физика в Средней школе" Аксенович, Ракина Ссылка 19,7 МБ, стр18.
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