document.write( "Question 32326: The period (the time required for one complete swing) of a simple pendulum varies directly as the square root of its length. If a pendulum 12 feet long has a period of 4 seconds, find the period of a pendulum 3 feet long. \n" ); document.write( "
Algebra.Com's Answer #18945 by mukhopadhyay(490)\"\" \"About 
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Period(T) = k(Length)^1/2
\n" ); document.write( "4 = k(12)^1/2
\n" ); document.write( "=>4=2k(sqrt3)
\n" ); document.write( "=>k=2/sqrt(3)
\n" ); document.write( "So, T = 2L/sqrt(3)
\n" ); document.write( "If L=3
\n" ); document.write( "T=6/sqrt(3) = 2sqrt(3) = 3.5 seconds(approx)
\n" ); document.write( "Answer: approx 3.5 seconds
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