C1) If a standard 1850 USA railroad track (11.9m) was made on a hot summer day 3

Question

C1) If a standard 1850 USA railroad track (11.9m) was made on a hot summer day 32 °C, how long would it be on a cold night in NY -5 °C?

C2) In a NY city skyscraper, there is a steel cable that is 380 m tall. If it was placed there at room temperature 20°C, and the building cooled off to 10°C in winter, how many cm would the 1st floor level be off when the elevator doors opened?

C3) Why do most solid materials expand when their temperatures increase?

C1) If a standard 1850 USA railroad track (11.9m) was made on a hot summer day 32 °C, how long would it be on a cold night in NY -5 °C?

C2) In a NY city skyscraper, there is a steel cable that is 380 m tall. If it was placed there at room temperature 20°C, and the building cooled off to 10°C in winter, how many cm would the 1st floor level be off when the elevator doors opened?

C3) Why do most solid materials expand when their temperatures increase?

Explanation / Answer

C1) Coefficient of Thermal expansion of Iron = 12 x 10^-6 / K

Using L = L0 ( 1 + alpha*deltaT)

L = 11.9 ( 1 + (12 x 10^-6 x (-5 -32))

L = 11.895 m

C2)

Coefficient of Thermal expansion of Iron = 12 x 10^-6 / K

Using L = L0 ( 1 + alpha*deltaT)

L = 380 ( 1 + (12 x 10^-6 x (10-20))

L = 379.95 m

if there are n levels.

then height short = ( 380 - 379.95) / n = (0.0456/n) m = (4.56/n) cm

C3) as tempeture increase, molecular bonds get energy and they get weaken and seperation between them increases becuses of bond weakens.

so they expands.

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