document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=430101>Question 430101</A>: <I><SPAN STYLE=\"word-break: break-all;\"> how would i begin to solve a problem that is T= 2pie the square root l/g to solve for g. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #298681 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/cgi-bin/show-face.mpl?user=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=298681\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> equation, if i understand you correctly, is:\r<BR>\n" );
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document.write( "T = 2 * pi * sqrt(1/g)\r<BR>\n" );
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document.write( "divide both sides of this equation by 2 * pi to get:\r<BR>\n" );
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document.write( "(T/(2*pi) = sqrt(1/g)\r<BR>\n" );
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document.write( "square both sides of this equation to get:\r<BR>\n" );
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document.write( "(T/(2*pi)^2 = (1/g)\r<BR>\n" );
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document.write( "multiply both sides of this equation by g and divide both sides of this equation by (T/(2*pi)^2 to get:\r<BR>\n" );
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document.write( "g = 1 / ((T/2*pi)^2)\r<BR>\n" );
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document.write( "this is equivalent to:\r<BR>\n" );
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document.write( "g = 1 / ((T^2)/(2*pi)^2) which is equivalent to:\r<BR>\n" );
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document.write( "g = (2*pi)^2 / (T^2)\r<BR>\n" );
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document.write( "note that, in general, 1/(a/b) = (1*b)/a = (b/a).\r<BR>\n" );
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document.write( "if you know the value of T, then you can find the value of g.\r<BR>\n" );
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document.write( "Assume T = 2, then, using the equation of g = (2*pi)^2 / (T^2), you will get g = 9.869604401\r<BR>\n" );
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document.write( "If you plug the value of T and the value of g in your original equation, then it should be true, assuming we converted the equation correctly.\r<BR>\n" );
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document.write( "your original equation is:\r<BR>\n" );
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document.write( "T = 2 * pi * sqrt(1/g)\r<BR>\n" );
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document.write( "replace T and g with their respective values and you get:\r<BR>\n" );
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document.write( "2 = 2 * pi * sqrt (1/9.869604401)\r<BR>\n" );
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document.write( "solve this equation to get:\r<BR>\n" );
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document.write( "2 = 2, confirming that the value for g, when T = 2, is good.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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