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)![]() ![]() ![]() You can put this solution on YOUR website! 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 \n" ); document.write( " |