A grandfather clock is controlled by a swinging brass pendulum that is 1.2 m long at a temperature of 27°C. (a) What is the length of the pe

Question

A grandfather clock is controlled by a swinging brass pendulum that is 1.2 m long at a temperature of 27°C. (a) What is the length of the pendulum rod when the temperature drops to 0.0°C? (Round your answer to four significant figures.) mm

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Thành Công 3 years 2021-08-26T11:49:36+00:00 1 Answers 23 views 0

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  1. thienthanh
    0
    2021-08-26T11:51:25+00:00
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    Answer:

    L2 = 1.1994 m

    the length of the pendulum rod when the temperature drops to 0.0°C is 1.1994 m

    Explanation:

    Given;

    Initial length L1 = 1.2m

    Initial temperature T1 = 27°C

    Final temperature T2 = 0.0°C

    Linear expansion coefficient of brass x = 1.9 × 10^-5 /°C

    The change i length ∆L;

    ∆L = L2 – L1

    L2 = L1 + ∆L ………..1

    ∆L = xL1(∆T)

    ∆L = xL1(T2 – T1) ……2

    Substituting the given values into equation 2;

    ∆L = 1.9 × 10^-5 /°C × 1.2m × (0 – 27)

    ∆L = 1.9 × 10^-5 /°C × 1.2m × (- 27)

    ∆L = -6.156 × 10^-4 m

    From equation 1;

    L2 = L1 + ∆L

    Substituting the values;

    L2 = 1.2 m + (- 6.156 × 10^-4 m)

    L2 = 1.2 m – 6.156 × 10^-4 m

    L2 = 1.1993844 m

    L2 = 1.1994 m

    the length of the pendulum rod when the temperature drops to 0.0°C is 1.1994 m

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