document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=797183>Question 797183</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Two gears are adjusted so that the smaller gear with radius of 2.5 cm drives the larger one with radius of 4.8 cm. If the smaller gear rotates through an angle of 5&#960;/4 radians, through what angle measurement in degrees will the larger gear rotate?  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #481711 by </B><A HREF=/tutors/aboutme.mpl?userid=KMST><B>KMST(5328)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=KMST><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=KMST><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=481711\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The measure of an angle in radians is the arc divided by the radius:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=angle=arc%2Fradius ALIGN=MIDDLE  ALT=\"angle=arc%2Fradius\"   DISABLED_style= \"max-width:90%; height:auto;\" > <---> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=angle%2Aradius=arc ALIGN=MIDDLE  ALT=\"angle%2Aradius=arc\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( "As the small gear rotates through an angle of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5pi%2F4 ALIGN=MIDDLE  ALT=\"5pi%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" > radians, the point that was originally in contact with the other gear moves a distance of<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%285pi%2F4%29%2A%282.5cm%29 ALIGN=MIDDLE  ALT=\"%285pi%2F4%29%2A%282.5cm%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > along the circumference of the small gear.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=drawing%28400%2C300%2C-5.7%2C10.3%2C-6%2C6%2C%0D%0Ablue%28circle%28-2.5%2C0%2C0.1%29%29%2Cblue%28circle%28-2.5%2C0%2C2.5%29%29%2C%0D%0Ared%28circle%284.8%2C0%2C0.1%29%29%2Cred%28circle%284.8%2C0%2C4.8%29%29%2C%0D%0Aarrow%28-2.5%2C0%2C10.2%2C0%29%2Carrow%28-2.57%2C0.07%2C-5%2C2.6%29%2C%0D%0Alocate%28-2.8%2C1.5%2C5pi%2F4%29%2Carc%28-2.5%2C0%2C3.2%2C3.2%2C225%2C0%29%2C%0D%0Acircle%280%2C0%2C0.2%29%2Cblue%28circle%28-4.268%2C1.768%2C0.1%29%29%0D%0A%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "In the large gear, the point that was originally in contact with the other gear moves the same distance along the circumference of the small gear.<BR>\n" );
document.write( "If that distance correspond to an angle measuring <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x ALIGN=MIDDLE  ALT=\"x\"   DISABLED_style= \"max-width:90%; height:auto;\" > radians, that distance is<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2A%284.8cm%29 ALIGN=MIDDLE  ALT=\"x%2A%284.8cm%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
document.write( "So, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2A%284.8cm%29=%285pi%2F4%29%2A%282.5cm%29 ALIGN=MIDDLE  ALT=\"x%2A%284.8cm%29=%285pi%2F4%29%2A%282.5cm%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >--><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=%285pi%2F4%29%2A%282.5cm%2F%224.8+cm%22%29 ALIGN=MIDDLE  ALT=\"x=%285pi%2F4%29%2A%282.5cm%2F%224.8+cm%22%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >--><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=%285%2F4%29%2825%2F48%29pi ALIGN=MIDDLE  ALT=\"x=%285%2F4%29%2825%2F48%29pi\"   DISABLED_style= \"max-width:90%; height:auto;\" >--><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=125pi%2F192 ALIGN=MIDDLE  ALT=\"x=125pi%2F192\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "That's <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=70.3125%5Eo ALIGN=MIDDLE  ALT=\"70.3125%5Eo\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=drawing%28400%2C300%2C-5.7%2C10.3%2C-6%2C6%2C%0D%0Ablue%28circle%28-2.5%2C0%2C0.1%29%29%2Cblue%28circle%28-2.5%2C0%2C2.5%29%29%2C%0D%0Ared%28circle%284.8%2C0%2C0.1%29%29%2Cred%28circle%284.8%2C0%2C4.8%29%29%2C%0D%0Aarrow%28-2.5%2C0%2C10.2%2C0%29%2Carrow%28-2.57%2C0.07%2C-5%2C2.6%29%2C%0D%0Alocate%28-2.8%2C1.5%2C5pi%2F4%29%2Carc%28-2.5%2C0%2C3.2%2C3.2%2C225%2C0%29%2C%0D%0Acircle%280%2C0%2C0.2%29%2Cblue%28circle%28-4.268%2C1.768%2C0.1%29%29%2C%0D%0Ared%28circle%283.183%2C4.519%2C0.1%29%29%2Carrow%284.78%2C0.08%2C2.78%2C5.65%29%2C%0D%0Aarrow%284.8%2C0%2C-5.65%2C0%29%2Clocate%283%2C1.5%2C125pi%2F192%29%2C%0D%0Aarc%284.8%2C0%2C5%2C5%2C180%2C250.3%29%2C%0D%0Alocate%283.3%2C5.2%2CB%29%2Clocate%28-4.4%2C2.5%2CA%29%0D%0A%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > The points of the gears that were in contact end up at A and B after that turn. </SPAN>\n" );
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