document.write( "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? \n" ); document.write( "

Algebra.Com's Answer #291695 by htmentor(1343) $\"\"$ $\"About$

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This would seem to be a physics problem.
\n" ); document.write( "The period, T, of a pendulum (for small oscillations) is given by T = $\"+2%2Api%2Asqrt%28L%2Fg%29\"$ , where L=length, g=acceleration due to gravity.
\n" ); document.write( "We assume g=32 ft/s^2, and note the problem only asks for the time for half of a period.
\n" ); document.write( "Inserting the values for L and g in the formula, we have
\n" ); document.write( " $\"T+=+2%2Api%2Asqrt%28+32%2Fpi%5E2%2F32+%29\"$
\n" ); document.write( "This reduces to $\"T=2%2Api%2Fpi+=+2\"$
\n" ); document.write( "The time required to swing from one side to the other is 1/2 T.
\n" ); document.write( "Answer: 1 second. \n" ); document.write( "

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