document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=190317>Question 190317</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/9780395977255/algebrahomeworkh>algebra and trigonometry structure and method book 2</A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> The stretch on a wire under a given tension varies directly as the length of the wire and inversely as the square of its diameter. A wire having length 2m and diameter 1.5mm stretches 1.2 mm. If a second wire of the same material(and under the same tension) has length 3m and diameter 2.0mm, find the amount of stretch.\r<BR>\n" );
document.write( "\n" );
document.write( "Please help as i keep on messing the decimals up and can't seem to get the right answer. Please explain also. thank you! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #142837 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=142837\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The stretch on a wire under a given tension varies directly as the length of the wire and inversely as the square of its diameter.<BR>\n" );
document.write( "stretch = k[L/d^2]<BR>\n" );
document.write( "------------------------------\r<BR>\n" );
document.write( "\n" );
document.write( " A wire having length 2m and diameter 1.5mm stretches 1.2 mm.<BR>\n" );
document.write( "1.2 = k[2/1.5^2]<BR>\n" );
document.write( "1.2 = k[8/9]<BR>\n" );
document.write( "k = (9/8)1.2<BR>\n" );
document.write( "k = 27/20<BR>\n" );
document.write( "So the equation for your problem is stretch = (27/20)[L/d^2]<BR>\n" );
document.write( "---------\r<BR>\n" );
document.write( "\n" );
document.write( " If a second wire of the same material(and under the same tension) has length 3m and diameter 2.0mm, find the amount of stretch. <BR>\n" );
document.write( "stretch = (27/20)[3/2^2] = 1.0125<BR>\n" );
document.write( "=====================================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( "----------------------- </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );