SOLUTION: The pendulum of a grandfather clock is ( 32/π^2 )ft long. How long does it take to swing from one side to the other?
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Question 416314: The pendulum of a grandfather clock is ( 32/π^2 )ft long. How long does it take to swing from one side to the other?
Answer by htmentor(1343) (Show Source): You can put this solution on YOUR website!
This would seem to be a physics problem.
The period, T, of a pendulum (for small oscillations) is given by T = , where L=length, g=acceleration due to gravity.
We assume g=32 ft/s^2, and note the problem only asks for the time for half of a period.
Inserting the values for L and g in the formula, we have
This reduces to
The time required to swing from one side to the other is 1/2 T.
Answer: 1 second.
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