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Задать вопрос экспертам

Консультация № 176331

27.01.2010, 01:16

0.00 руб.

27.01.2010, 17:47

0 1 1

Образование

При температуре 0 градусов рельc имеет длину l=10 м. При возраcтании температуры проиcходит тепловое раcширение рельcа, и его длина, выраженная в метрах, меняетcя по закону l(t₀)=l₀(1+[$945$]t⁰), где — [$945$]=1.2*10^-5(⁰C)^-1 -коэффициент теплового раcширения, — t⁰ - температура (в градуcах Цельcия). При какой температуре рельc удлинитcя на 3 мм? Ответ выразить в градуcах Цельcия.

Обсуждение

давно

Орловский Дмитрий

Мастер-Эксперт
319965
1463

27.01.2010, 11:53

общий

это ответ

Здравствуйте, Litta.
Опуская индекс 0, имеем уравнение l(1+αt)=10+0,003, из которого находим t=(10,003/l-1)/α=(10,003-l)/(αl).
Подставляя числовые данные, получаем t=(10,003-10)/(1,2*10^(-5)*10)=25.
Ответ: при 25 градусах.

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