Ask Question
2 May, 04:46

Question 7 options: A steel tape that has a length of 100.00 at 68 degrees F is to be used to lay off a building with the dimensions 450.00 ft by 515.00 ft. What should the tape readings be if the tape temperature is 104 degrees F at the time of measurement

+2
Answers (1)
  1. 2 May, 07:02
    0
    The tape readings at 104°F will be 449.88 ft by 514.86 ft

    Explanation:

    Co-efficient of linear expansivity of Steel = α = 7.3 * 10⁻⁶ ft/ft.°F (from literature)

    α = ΔL / (L₀ (ΔT)

    ΔL = change in length = ?

    L₀ = original length = 100.0 ft

    ΔT = change in temperature = 104 - 68 = 36°F

    ΔL = α * (L₀ (ΔT))

    ΔL = 7.3 * 10⁻⁶ * 100 * 36 = 0.02628 ft = 0.0263 ft

    ΔL = Lf - L₀

    Lf = L₀ + ΔL = 100 + 0.0263 = 100.0263 ft

    This tape is used to measure a dimension of 450 ft * 515 ft,

    Meaning, the 450 ft will give a reading of 450 * 100/100.0263 = 449.88 ft

    And the 515 ft gives a reading of 515 * 100/100.0263 = 514.86 ft.

    The tape readings at 104°F will be 449.88 ft by 514.86 ft
Know the Answer?
Not Sure About the Answer?
Find an answer to your question ✅ “Question 7 options: A steel tape that has a length of 100.00 at 68 degrees F is to be used to lay off a building with the dimensions 450.00 ...” in 📘 Engineering if you're in doubt about the correctness of the answers or there's no answer, then try to use the smart search and find answers to the similar questions.
Search for Other Answers