document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=848185>Question 848185</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The two pulleys in the figure have a radii of 15cm and 8 cm. The larger pulley rotates 25 times in 36 seconds. Find the angular speed of each pulley in Rad/per sec. \r<BR>\n" );
document.write( "\n" );
document.write( "I don't know how to even start i'm not sure what formulas to use V=r(W) or what the angular speed formula is. Please help by explaining and showing steps so I can do my other similar problems. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #510980 by </B><A HREF=/tutors/aboutme.mpl?userid=lwsshak3><B>lwsshak3(11628)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=lwsshak3><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=510980\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The two pulleys in the figure have a radii of 15cm and 8 cm. The larger pulley rotates 25 times in 36 seconds. Find the angular speed of each pulley in Rad/per sec. <BR>\n" );
document.write( "I don't know how to even start i'm not sure what formulas to use V=r(W) or what the angular speed formula is.<BR>\n" );
document.write( "***<BR>\n" );
document.write( "For larger 15 cm pulley:<BR>\n" );
document.write( "rev=revolution<BR>\n" );
document.write( "rad=radians<BR>\n" );
document.write( "c=circumference<BR>\n" );
document.write( "..<BR>\n" );
document.write( "convert given 259(rev/36sec) to (rad/sec)<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=angular+speed=25%28rev%2F36sec%29%2A2%28pi%29%28rad%2Frev%29 ALIGN=MIDDLE  ALT=\"angular+speed=25%28rev%2F36sec%29%2A2%28pi%29%28rad%2Frev%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "rev cancel out<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=angular+speed=%2825%2A2%28pi%29%2F36%29%28rad%2Fsec%29=4.36%28rad%2Fsec%29 ALIGN=MIDDLE  ALT=\"angular+speed=%2825%2A2%28pi%29%2F36%29%28rad%2Fsec%29=4.36%28rad%2Fsec%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=c=2%28pi%29%2Aradius=2%28pi%29%2A15=30%28pi%29cm ALIGN=MIDDLE  ALT=\"c=2%28pi%29%2Aradius=2%28pi%29%2A15=30%28pi%29cm\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "..<BR>\n" );
document.write( "For smaller 8 cm pulley:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=c=2%28pi%29%2Aradius=2%28pi%29%2A8=16%28pi%29cm ALIGN=MIDDLE  ALT=\"c=2%28pi%29%2Aradius=2%28pi%29%2A8=16%28pi%29cm\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=linear+speed+of+15+cm+pulley=25%28rev%2F36sec%29%2A30%28pi%29%28cm%2Frev%29=750%28pi%29cm%2F36sec ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=angular+speed=%28750%28pi%29cm%2F36sec%29%2A%28rev%2F16%28pi%29cm%29=%28750%2F576%29%28rev%2Fsec%29%2A%282%28pi%29rad%2Frev%29=8.18+%28rad%2Fsec%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Note: a shortcut would use the fact that for the same linear speed, angular speed is inversely proportional to the radii of both pulleys. <BR>\n" );
document.write( "For example:<BR>\n" );
document.write( "15/8&#8776;1.87..<BR>\n" );
document.write( "8.18/4.36&#8776;1.87..\r<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );