document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1159190>Question 1159190</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Your car’s speedometer is geared to accurately give your speed using a certain tire size: 15” diameter wheels (the metal part) and 4.35” tires (the rubber part).\r<BR>\n" );
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document.write( "(a)   If your car's instruments are properly calibrated, how many times should your tire rotate per second if you are travelling at 55 mi/hr?<BR>\n" );
document.write( "rotations = \r<BR>\n" );
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document.write( "Report answer accurate to 3 decimal places.\r<BR>\n" );
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document.write( "(b)   You buy new 5.25” tires and drive at a constant speed of 60 mph (according to your car’s instrument). However, a cop stops you and claims that you were speeding. How fast did the radar gun clock you moving?<BR>\n" );
document.write( "actual speed = <BR>\n" );
document.write( " mph<BR>\n" );
document.write( "Report answer accurate to the nearest whole number.\r<BR>\n" );
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document.write( "(c)   Then you replace your tires with 3.6” tires. When your speedometer reads 25 mph, how fast are you really moving?<BR>\n" );
document.write( "actual speed = <BR>\n" );
document.write( " mph </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #782183 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><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=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=782183\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Your car’s speedometer is geared to accurately give your speed using a certain tire size: 15” diameter wheels (the metal part) and 4.35” tires (the rubber part).<BR>\n" );
document.write( "(a) If your car's instruments are properly calibrated, how many times should your tire rotate per second if you are travelling at 55 mi/hr?<BR>\n" );
document.write( "The total diameter of he tire: 15 + 4.35 + 4.35 = 23.7 inches<BR>\n" );
document.write( "The circumference: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=pi%2A23.7+=+74.4557 ALIGN=MIDDLE  ALT=\"pi%2A23.7+=+74.4557\"   DISABLED_style= \"max-width:90%; height:auto;\" > inches<BR>\n" );
document.write( "Find the no. of inches traveled in 1 sec at 55 mph<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%2855%2A5280%2A12%29%29%2F%28%2860%2A60%29%29 ALIGN=MIDDLE  ALT=\"%28%2855%2A5280%2A12%29%29%2F%28%2860%2A60%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 968 inches<BR>\n" );
document.write( "Find the rev/sec of the tire<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=968%2F74.4557 ALIGN=MIDDLE  ALT=\"968%2F74.4557\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 13.001 rotations/sec<BR>\n" );
document.write( ":<BR>\n" );
document.write( "(b) You buy new 5.25” tires and drive at a constant speed of 60 mph (according to your car’s instrument).<BR>\n" );
document.write( "However, a cop stops you and claims that you were speeding.<BR>\n" );
document.write( "How fast did the radar gun clock you moving?<BR>\n" );
document.write( "The speedometer still thinks you have the original tires<BR>\n" );
document.write( "Find the the rev/sec at 60 mph<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%2860%2A5280%2A12%29%29%2F%28%2860%2A60%29%29 ALIGN=MIDDLE  ALT=\"%28%2860%2A5280%2A12%29%29%2F%28%2860%2A60%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 1056 inches<BR>\n" );
document.write( "Find the rev/sec of the tire<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1056%2F74.4557 ALIGN=MIDDLE  ALT=\"1056%2F74.4557\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 14.1829 rotations/sec<BR>\n" );
document.write( "Find the diameter of the new tire: 15 + 5.25 + 5.25 = 25.5 inches<BR>\n" );
document.write( "Find the new circumference: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=pi%2A25.5 ALIGN=MIDDLE  ALT=\"pi%2A25.5\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 80.1106 inches<BR>\n" );
document.write( "Find how far you travel in 1 hr at this rotation and new circumference in mph<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%283600%2A80.1106%2A14.1829%29%29%2F%28%2812%2A5280%29%29 ALIGN=MIDDLE  ALT=\"%28%283600%2A80.1106%2A14.1829%29%29%2F%28%2812%2A5280%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 64.557 ~ 65 mph, actual speed<BR>\n" );
document.write( ":<BR>\n" );
document.write( "(c) Then you replace your tires with 3.6” tires. When your speedometer reads 25 mph, how fast are you really moving?<BR>\n" );
document.write( "The speedometer still thinks you have the original tires<BR>\n" );
document.write( "Find the the rev/sec at 25 mph<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%2825%2A5280%2A12%29%29%2F%28%2860%2A60%29%29 ALIGN=MIDDLE  ALT=\"%28%2825%2A5280%2A12%29%29%2F%28%2860%2A60%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 440 inches<BR>\n" );
document.write( "Find the rev/sec of the tire<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=440%2F74.4557 ALIGN=MIDDLE  ALT=\"440%2F74.4557\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 5.9096 rotations/sec<BR>\n" );
document.write( "Find the new diameter: 15 + 3.6 + 3.6 = 22.2 inches<BR>\n" );
document.write( "Find the new circumference: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=pi%2A22.2 ALIGN=MIDDLE  ALT=\"pi%2A22.2\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 69.743 inches<BR>\n" );
document.write( "Find how far you travel in 1 hr at this rotation and new circumference in mph<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%283600%2A69.743%2A5.9096%29%29%2F%28%2812%2A5280%29%29 ALIGN=MIDDLE  ALT=\"%28%283600%2A69.743%2A5.9096%29%29%2F%28%2812%2A5280%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 23.4178 ~ 23 mph actual speed<BR>\n" );
document.write( ":<BR>\n" );
document.write( "A lot of tedious math here, better check my calculations.CK<BR>\n" );
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