document.write( "Question 212195: The period (the time required for one complete swing) of a simple pendulum varies directly as the square root of its length. If a pedulum 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 #160262 by Fombitz(32388) $\"\"$ $\"About$

You can put this solution on YOUR website!
$\"P=k%2Asqrt%28L%29\"$ , where k is a constant.
\n" ); document.write( " $\"P%5E2=KL\"$
\n" ); document.write( " $\"K=P%5E2%2FL\"$
\n" ); document.write( " $\"%28P1%29%5E2%2FL1=%28P2%29%5E2%2FL2\"$
\n" ); document.write( " $\"4%5E2%2F12=%28P2%29%5E2%2F3\"$
\n" ); document.write( " $\"%28P2%29%5E2=%284%5E2%2A3%29%2F12\"$
\n" ); document.write( " $\"P2=4%2Asqrt%283%2F12%29=4%2A%281%2F2%29=2\"$
\n" ); document.write( "The period is 2 seconds. \n" ); document.write( "

\n" );