document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=298776>Question 298776</A>: <I><SPAN STYLE=\"word-break: break-all;\"> If the minute hand of a big clock is 1.12m long, find the rate at which its tip is moving in centimeters per minute. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #214848 by </B><A HREF=/tutors/aboutme.mpl?userid=Alan3354><B>Alan3354(69443)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Alan3354><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=Alan3354><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=214848\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> If the minute hand of a big clock is 1.12m long, find the rate at which its tip is moving in centimeters per minute.<BR>\n" );
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document.write( "r = 112 cm<BR>\n" );
document.write( "Circumference = distance/revolution = 2*pi*r/360 degs =224pi/360<BR>\n" );
document.write( "1 minute (of time) = 360/60 = 6 degs<BR>\n" );
document.write( "s = (224pi/360)*6<BR>\n" );
document.write( "s = 56pi/15 cm<BR>\n" );
document.write( "s =~ 11.729 cm<BR>\n" );
document.write( "r =~ 11.729 cm/minute<BR>\n" );
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document.write( "Using radians:<BR>\n" );
document.write( "omega = 2pi/hour = (pi/30)rad/minute<BR>\n" );
document.write( "speed = omega*r = 112pi/30 cm/min<BR>\n" );
document.write( "= 56pi/15 same answer, much simpler<BR>\n" );
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