document.write( "Question 65558: I have another word problem I understand but I don't understand....\r
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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 period of 1 second?\r
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document.write( "I understand:\r
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document.write( "Pendulum directly proportional to square root of length\r
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document.write( "6 feet with a period of 2 seconds\r
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document.write( "I am trying to find the length to be shortened to make a period of 1 second.\r
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document.write( "I know I might be nuking this.... \n" );
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Algebra.Com's Answer #46122 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 period of 1 second? \n" ); document.write( "-------- \n" ); document.write( "Period = k (sqrt(length) \n" ); document.write( "You need to find k. \n" ); document.write( "2 sec = k (sqrt 6)ft \n" ); document.write( "k=2/sqrt6=0.8164965... \n" ); document.write( "EQUATION: P=(0.8164965..)sqrt(length) \n" ); document.write( "Let P=1 sec and solve for length, as follows: \n" ); document.write( "1=(0.08164965)sqrt(length) \n" ); document.write( "sqrt(length)=1.224745 \n" ); document.write( "length = 1.5 ft \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( " \n" ); document.write( " |