Ask Question
20 October, 02:06

a steel railroad track has a length of 30m when the temperature is 2 degrees celsius. what is the increase in the length of the rail on a hot day when the temperature is 38 degrees celsius? the linear expansion coefficient of steel is 11 x 10^ - 6 (c) ^-1

+2
Answers (1)
  1. 20 October, 06:01
    0
    Correct answer: L₂ = 30.012 m

    Explanation:

    Given:

    L₁ = 30 m initial length on the temperature t₁ = 2 C°

    L₂ = ? final length on the temperature t₂ = 38 C°

    α = 11 · 10⁻⁶ C⁻¹ the linear expansion coefficient of steel

    The formula by which we will calculate the new rail length is:

    L₂ = L₁ · (1 + α · (t₂ - t₁))

    L₂ = 30 · (1 + 11 · 10⁻⁶ · (38 - 2)) = 30 · (1 + 11 · 10⁻⁶ · 36) = 30 · (1 + 0.000396)

    L₂ = 30 · 1.0004 = 30.012 m

    L₂ = 30.012 m

    God is with you!
Know the Answer?
Not Sure About the Answer?
Get an answer to your question ✅ “a steel railroad track has a length of 30m when the temperature is 2 degrees celsius. what is the increase in the length of the rail on a ...” in 📙 Physics if there is no answer or all answers are wrong, use a search bar and try to find the answer among similar questions.
Search for Other Answers