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Cuckoo clock pendulum

  1. Jul 7, 2011 #1
    1. The problem statement, all variables and given/known data
    Consider a small cuckoo clock in which the length of the pendulum is L, suspending a mass m with a period of oscillation T. The clock is powered by a falling weight (mass = M) which falls 2 m between the daily windings. The amplitude of the swing is 0.2 radians.
    (A) Determine the quality factor Q of the clock.
    Data: m = 54 g; T = 1.0 s; M = 949 g.

    (B) How many days would the clock run if it were powered by a 1.5 volt battery with charge capacity equal to 1800 mAh


    2. Relevant equations

    T=2pi(L/g)1/2

    3. The attempt at a solution

    E0=(m+M)gL(1-cos[itex]\Theta[/itex])

    I am unsure of how to find the amount of energy loss per cycle.
    Or if the masses in the Energy equation are correct
     
  2. jcsd
  3. Jul 7, 2011 #2

    gneill

    User Avatar

    Staff: Mentor

    The clock's falling weight does not participate in the pendulum motion -- it adds energy to the pendulum via a gear train and escapement mechanism.

    How many "ticks" in a 24 hour period? How much energy is added by the falling weight in that time?
     
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