document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=884764>Question 884764</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Two gears are connected and are rotating simultaneously. The smaller gear has a radius of 3 inches, and the larger gear has a radius of 7 inches.\r<BR>\n" );
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document.write( "two circles touching at one point. Larger circle has radius of 7 inches. Smaller circle has radius of 3 inches.\r<BR>\n" );
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document.write( "Part 1: What is the angle measure, in degrees and rounded to the nearest tenth, through which the larger gear has rotated when the smaller gear has made one complete rotation?\r<BR>\n" );
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document.write( "Part 2: How many rotations will the smaller gear make during one complete rotation of the larger gear?\r<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #534635 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=534635\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Two gears are connected and are rotating simultaneously. The smaller gear has a radius of 3 inches, and the larger gear has a radius of 7 inches.<BR>\n" );
document.write( " two circles touching at one point. Larger circle has radius of 7 inches. Smaller circle has radius of 3 inches.<BR>\n" );
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document.write( "Larger circumference: 2pi*r = 14pi inches<BR>\n" );
document.write( "Smaller circumference: 2pi*r = 6pi inches<BR>\n" );
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document.write( " Part 1: What is the angle measure, in degrees and rounded to the nearest tenth, through which the larger gear has rotated when the smaller gear has made one complete rotation?<BR>\n" );
document.write( "Ans: (6pi/14pi)(360) = (3/7)360 = 0.4286(360) = 154.29 degrees<BR>\n" );
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document.write( " Part 2: How many rotations will the smaller gear make during one complete rotation of the larger gear?<BR>\n" );
document.write( "Ans: # of rotations = 14pi/6pi = 7/3 = 2 1/3 rotations<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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