Posted by gino intili on Thursday, February 24, 2011 at 6:48pm.
You don't need to know the mass of the Earth in this case.
The value of g at the top of the tower, g', will be less than the earth-surface value, which must be multiplied by
[6.38/(3.19 + 6.38)]^2 = (2/3)^2
g' = (4/9)*g
The pendulum period is proportional to 1/sqrtg , a factor that becomes 3/2 at the top of the tower.
It will therefore take the clock 90 minutes to indicate a one hour change.
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