If the gravity of the moon is about 1 6 t h the gravity on earth, how will a clock's period on the moon compare with that on earth?

Question

If the gravity of the moon is about       1    6    t  h the gravity on earth, how will a clock&#039;s period on the moon compare with that on earth?

kilinumad · Accepted Answer

For small-ish oscillations, we know that period, T, of an oscillation is   T  =  2  π            l      g      where l is the length of the pendulum and g is prevailing gravityas       g          m      o      o      n        ≈            g              e        a        r        t        h              6  then       T          m      o      o      n        ≈      6    ∗      T          e      a      r      t      h        =  2.45  ∗      T          e      a      r      t      h      So, if you like, a tick and a tock should take 2.45 times as long and the clock should run slow.

If the gravity of the moon is about 1/6 th the gravity on earth, how will a clock's period on the moon compare with that on earth?

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