A grandfather clock is controlled by a swinging brass pendulum that is 1.6 m long at a temperature of 28°C. (a) What is the length of the pe

Question

A grandfather clock is controlled by a swinging brass pendulum that is 1.6 m long at a temperature of 28°C. (a) What is the length of the pendulum rod when the temperature drops to 0.0°C? (Give your answer to at least four significant figures.)

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Ngọc Hoa 1 year 2021-09-04T14:51:27+00:00 2 Answers 20 views 0

Answers ( )

    0
    2021-09-04T14:52:51+00:00

    Answer:

    1.599 m.

    Explanation:

    Using

    α = ΔL/(LΔT)………… Equation 1

    Where

    α = Coefficient of linear expansion of brass,

    ΔL = Change in length,

    ΔT = Change in temperature

    L = Original length.

    make ΔL the subject of the equation

    ΔL = α(LΔT)…………….. Equation 2

    Given: L = 1.6 m, ΔT = T₂-T₁ = 0-28 = -28 ⁰C

    Constant: α = 1.8×10⁻⁵/°C

    Substitute into equation 2

    ΔL =  (1.8×10⁻⁵)(1.6)(-28)

    ΔL = -8.064×10⁻⁴ m

    But,

    ΔL = L₁-L

    Where L = final length of the pendulum rod.

    make L₁ the subject of the equation,

    L₁ = ΔL+L……… Equation 2

    L₁ = 1.6+( -8.064×10⁻⁴ )

    L₁ = 1.599 m.

    0
    2021-09-04T14:52:56+00:00

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