document.write( "Question 260000: The period T (time in seconds for one complete cycle) of a simple pendulum is related to the length L (in feet) of the pendulum by the formula 8T^2=pie^2L. If a child is on a swing with a 10 foot chain, then how long does it take to complete one cycle of the swing? \n" ); document.write( "

Algebra.Com's Answer #191597 by ankor@dixie-net.com(22740) $\"\"$ $\"About$

You can put this solution on YOUR website!
The period T (time in seconds for one complete cycle) of a simple pendulum is related to the length L (in feet) of the pendulum by the formula 8T^2=pie^2L.
\n" ); document.write( " If a child is on a swing with a 10 foot chain, then how long does it take to complete one cycle of the swing?
\n" ); document.write( ":
\n" ); document.write( " $\"8T%5E2=pi%5E2L\"$
\n" ); document.write( ":
\n" ); document.write( "L=10
\n" ); document.write( " $\"8T%5E2=pi%5E2%2A10\"$
\n" ); document.write( ":
\n" ); document.write( " $\"T%5E2=pi%5E2%2810%2F8%29\"$
\n" ); document.write( "T^2 = 9.87 * 1.25
\n" ); document.write( "T^2 = 12.337
\n" ); document.write( "T = $\"sqrt%2812.337%29\"$
\n" ); document.write( "T = 3.5 sec for 1 cycle \n" ); document.write( "

\n" );