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Suppose that a steel bridge, 1000 m long, were built without any expansion joints. Suppose that only one end of the bridge was held fixed. What would the difference in the length of the bridge be between winter and summer, taking a typical winter temperature as 0°C, and a typical summer temperature as 40°C? The coefficient of thermal expansion of steel is 10.5 × 10 -6 K -1. 0.37 cm 0.11 mm 0.42 m 0.42 mm 0.11 m

Respuesta :

Answer:

0.42 m

Explanation:

For thermal expansion, the formula used is as follows

L = L₀ ( 1 + α t )

L is length after rise of temperature by t , L₀ is length before rise of temperature , α is coefficient of thermal expansion and t is rise in temperature.

L - L₀ = L₀α t

Difference of length = L₀α t

L₀ = 1000 m , α = 10.5 x 10⁻⁶ , t = 40

Difference of length = 1000 x 10.5 x 10⁻⁶x 40

= 0.42 m .