document.write( "Question 66609: The period of a pendulum (T) is the amount of time in seconds it takes the pendulum to make a complete swing back and forth. The period is determined by the formula\r
\n" ); document.write( "\n" ); document.write( "Pendulum Formula\r
\n" ); document.write( "\n" ); document.write( "where l is the length of the pendulum in meters. \r
\n" ); document.write( "\n" ); document.write( "pendulum image\r
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\n" ); document.write( "\n" ); document.write( "Find the length of the pendulum with a period of 6 s. Express your answer to the nearest tenth. (Use pi = 3.14)
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Algebra.Com's Answer #47262 by ptaylor(2198)\"\" \"About 
You can put this solution on YOUR website!
The period of a pendulum (T) is the amount of time in seconds it takes the pendulum to make a complete swing back and forth. The period is determined by the formula
\n" ); document.write( "Pendulum Formula
\n" ); document.write( "where l is the length of the pendulum in meters.
\n" ); document.write( "pendulum image
\n" ); document.write( "Question:
\n" ); document.write( "Find the length of the pendulum with a period of 6 s. Express your answer to the nearest tenth. (Use pi = 3.14)\r
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\n" ); document.write( "\n" ); document.write( "Pendulum Formula: T=2pi(sqrt(l/g)) Want to solve for l: square both sides:\r
\n" ); document.write( "\n" ); document.write( "T^2=4(pi^2)(l/g) Multiply both sides by g\r
\n" ); document.write( "\n" ); document.write( "(T^2)(g)=4(pi^2)(l) divide both sides by 4(pi^2)\r
\n" ); document.write( "\n" ); document.write( "((T^2)(g))/(4(pi^2))=l now we plug in the values:\r
\n" ); document.write( "\n" ); document.write( "NOTE: g=9.8m/(sec^2)\r
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\n" ); document.write( "\n" ); document.write( "l=((6^2)(9.8))/(39.44)=\r
\n" ); document.write( "\n" ); document.write( "l=((36)(sec^2)(9.8)m/(sec^2))/39.44\r
\n" ); document.write( "\n" ); document.write( "l=8.9 meters\r
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\n" ); document.write( "\n" ); document.write( "Actually, you can solve this by plugging in the values without solving for l\r
\n" ); document.write( "\n" ); document.write( "T=2pi(sqrt(l)/sqrt(g))
\n" ); document.write( "6=6.28(sqrt(l)/3.13 Note: call it 3.14\r
\n" ); document.write( "\n" ); document.write( "6=2sqrt(l)
\n" ); document.write( "3=sqrt(l) square both sides\r
\n" ); document.write( "\n" ); document.write( "l=9 meters\r
\n" ); document.write( "\n" ); document.write( "ck by using a calculator\r
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\n" ); document.write( "\n" ); document.write( "Hope this helps---ptaylor
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