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Luden [163]
3 years ago
12

An iron railroad rail is 700 ft long when the temperature is 30°C. What is its length when the temperature is – 10°C?

Physics
1 answer:
MAVERICK [17]3 years ago
6 0

Answer:

699.67ft

Explanation:

We are given with,

  • α = 1.2×10⁻⁵ / °C
  • L₀ = 700 ft
  • ΔT = -10°C − 30°C = -40°C

Now, We have to find ΔL:

  • ΔL = (1.2×10⁻⁵ / °C) (700 ft) (-40°C)
  • ΔL = −0.336

Rounded to two significant figures, the change in length is −0.33ft.

<u>Therefore, the final length is approximately 700 ft − 0.33 ft = 699.67ft</u>.

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- The air density method which is expressed as:

                            P = P_a - γ*h

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                            P = P_a* e^ ( -g*h / R*T_a )

                            P = 2116.2* e^ ( -32.174*14110 / 1716*518.7 )

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