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Angular Momentum of Big Ben

  1. Nov 4, 2009 #1
    1. The problem statement, all variables and given/known data

    The hour and minute hands of Big Ben in
    London are 2.64 m and 4.5 m long and have
    masses of 69.4 kg and 94 kg respectively.

    1) Calculate the total angular momentum of
    the minute hand about the center point.
    Treat the hand as long, thin rod. Treat “into
    the clock” as the positive direction.
    Answer in units of kg · m2/s.

    2) Calculate the total angular momentum of the
    hour hand about the center point. Treat the
    hand as long, thin rod, and “into the clock”
    as the positive direction.
    Answer in units of kg · m2/s.


    2. Relevant equations

    Inertia about center point for rod is:

    I= (1/3)ML^2

    Lz=Iw

    3. The attempt at a solution

    For Minute Hand:

    I= (1/3) (94kg) (4.5m)^2 = 634.5 kg*m^2

    THen
    Lz = Iw = (634.5 kg*m^2) (1/60 rev/s) (2pi rad/rev) = 66.44469 kg*m^2/s

    For the Hour hand I should do the same.

    For both of these, the system says I am wrong, any help?
     
  2. jcsd
  3. Nov 4, 2009 #2
    I have found my mistake.....

    The Inertia was right but I needed I did second part wrong.

    2pi/3600s = 1.75E-3 rad/s for minute hand
    2pi/43200s = 1.45E-4 rad/s for hour hand

    then

    (624.5kg*m^2)( 1.75E-3 rad/s) = 1.110375 for minute hand and repeat for hour hand.
     
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