Ryan Robbins
09/02/2024 · Senior High School

Un puente de acero por las mañanas cuando la temperatura está a los \( 292^{\circ} \mathrm{k} \) (convertir a \( { }^{\circ} \mathrm{C} \) ) mantiene una longitud de 130 m de largo, pero por la tarde registra un aumento de temperatura a \( 50^{\circ} \mathrm{C} \) ¿Cuál será su longitud final?

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Para calcular la longitud final del puente, primero convertimos \( 292 \, \mathrm{K} \) a \( 18.85 \, {}^{\circ} \mathrm{C} \). Luego, usamos la fórmula de dilatación lineal con un coeficiente de dilatación del acero de \( 12 \times 10^{-6} \, \mathrm{°C}^{-1} \) y un aumento de temperatura de \( 31.15 \, {}^{\circ} \mathrm{C} \). El cambio en longitud es aproximadamente \( 0.049 \, \mathrm{m} \), por lo que la longitud final es aproximadamente \( 130.049 \, \mathrm{m} \).

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