A 160.0 km long electric power line made out of copper is installed during the Spring months at an average temperature of 10.2 °C. 1)

Question

A 160.0 km long electric power line made out of copper is installed during the Spring months at an average temperature of 10.2 °C.
1) What is the change in the length of the power line on a hot summer day, when the temperature is 32.1 °C? The coefficient of linear expansion for copper is 1.62×10^(-5) 1/C°. Use a positive sign for an increase in length and negative for a decrease.
2) What is the change in the length of the cable on a -28.7 °C cold Winter day?

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Bình An 3 years 2021-07-20T04:02:14+00:00 1 Answers 14 views 0

Answers ( )

  1. thienhuong
    0
    2021-07-20T04:04:07+00:00
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    Answer:

    1.+160.0567km

    2.-0.102km

    Explanation:

    Given initial length L1=160Km

    L2=?

    Initial temperature=10.2°C

    Final temperature=32.1°c

    Coefficient of linear expansivity a= 1.62*10^-5per Celsius

    1: a=L2-L1/L1*∆T

    (L2-160/160*21.9)=1.62*10^-5

    L2-160=0.0567

    L2= 0.0567+160

    L2=160.0567Km

    2.∆L=? at -28.7°C

    Also a=∆L/L1∆T

    We’re ∆L= aL1∆T

    1.65*10^-5*160*(-28.7-10.2)

    =-0.102km

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Giải phương trình 1 ẩn: x + 2 - 2(x + 1) = -x . Hỏi x = ? ( )