document.write( "Question 92873This question is from textbook Algebra and Trigonometry
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document.write( ": The period of a simple pendulum is directly proportional to the square root of its length. If a pendulum has a length of 6 feet and a period of 2 seconds, to what length should it be shortened to achieve a 1 second period? \n" );
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Algebra.Com's Answer #67580 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! The period of a simple pendulum is directly proportional to the square root of its length. If a pendulum has a length of 6 feet and a period of 2 seconds, to what length should it be shortened to achieve a 1 second period? \n" ); document.write( "------------- \n" ); document.write( "Period = k(length)^2 \n" ); document.write( "If P = 2 sec and length = 6, find \"k\". \n" ); document.write( "2 = k (6)^2 \n" ); document.write( "k = 2/36 \n" ); document.write( "k = 1/18 \n" ); document.write( "EQUATION for this pendulum: \n" ); document.write( "Period = (1/18)(length)^2 \n" ); document.write( "-------------- \n" ); document.write( "If the period is 1 second find the length: \n" ); document.write( "1 = (1/18)(length)^2 \n" ); document.write( "length^2 = 18 \n" ); document.write( "length = 3sqrt(2) ft. \n" ); document.write( "=========== \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( " |