Las dos torres que sostienen un puente colgante tienen una separación de 240m y una altura de 110m a partir de la carretera, si el cable tensor más corto mide 10m, ¿cuál es altura de un cable que se encuentra a 100m de distancia del centro?

Answers

Answer 1

La altura es de 169.4 metros.

Dado que las dos torres que sostienen un puente colgante tienen una separación de 240m y una altura de 110m a partir de la carretera, si el cable tensor más corto mide 10m, para determinar cuál es altura de un cable que se encuentra a 100m de distancia del centro se debe realizar los siguientes cálculos, aplicando la ecuación parabólica:  

(240)² = 4P x (110-10)57600 = 4P x 10057600 = 400P57600/400 = P144 = P 200 x 200 = 4 x 144 x (Altura - 100) 40000 = 576Altura - 57600 40000 + 57600 / 576 = Altura 169.4 metros = Altura

Por lo tanto, la altura es de 169.4 metros.

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