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March 29, 2017

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The number of oscillations made by a pendulum in a given time is inversely proportional to the length of the pendulum. A certain clock with a 20-in.-long pendulum is losing 11.00 min/day. Should the pendulum be lengthened or shortened, and by how much?

  • Algebra II - ,

    n/t = k/L

    when t = 24 * 60 = 1440
    let's say n should be 1440
    then
    k = 20
    now if n = 1440-11 = 1429
    we want
    1440 = 1429 (20)/L
    L = 19.85

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