document.write( "Question 7540: The period of a simple pendulum is directly proportional to the
\n" ); document.write( "square root of its length. If a pendulum has a length of 6 feet and a
\n" ); document.write( "period of 2 seconds, to what length should it be shortened to achieve
\n" ); document.write( "a 1 second period?
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Algebra.Com's Answer #4170 by Earlsdon(6294)\"\" \"About 
You can put this solution on YOUR website!
Write the proportion:\r
\n" ); document.write( "\n" ); document.write( "\"p+=+k%2Asqrt%28l%29\" Substitute the given values of p (2 secs) and l (6 ft.) and solve for k.\r
\n" ); document.write( "\n" ); document.write( "\"2+=+k%2Asqrt%286%29\"\r
\n" ); document.write( "\n" ); document.write( "\"k+=+2%2Fsqrt%286%29\" Now you can write:\r
\n" ); document.write( "\n" ); document.write( "\"sqrt%28l%29+=+p%2Fk\" Square both sides to find l.
\n" ); document.write( "\"l+=+%28p%2Fk%29%5E2\" Now substitute the values for \"p+=%281+sec%29\" and \"k+=2%2Fsqrt%286%29\" then solve for l.\r
\n" ); document.write( "\n" ); document.write( "\"l+=+%281%2F%282%2Fsqrt%286%29%29%29%5E2\"\r
\n" ); document.write( "\n" ); document.write( "\"l+=+%28sqrt%286%29%2F2%29%5E2\"\r
\n" ); document.write( "\n" ); document.write( "\"l+=+6%2F4\"\r
\n" ); document.write( "\n" ); document.write( "l = 1.5 ft.
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