document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=932058>Question 932058</A>: <I><SPAN STYLE=\"word-break: break-all;\"> how fast does a ferris wheel have to be going before the top stops being the apex from which a dropped object will hit the ground the fastest? (if ferris wheel radius is needed to solve this problem lets say the radius of this ferris wheel is 5M) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #565978 by </B><A HREF=/tutors/aboutme.mpl?userid=Fombitz><B>Fombitz(32388)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Fombitz><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=Fombitz><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=565978\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The time it takes for an object to hit the ground under gravity's influence is,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2R=%281%2F2%29gt%5E2 ALIGN=MIDDLE  ALT=\"2R=%281%2F2%29gt%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%284R%29%2Fg=t%5E2 ALIGN=MIDDLE  ALT=\"%284R%29%2Fg=t%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t=%284R%29%2Fg ALIGN=MIDDLE  ALT=\"t=%284R%29%2Fg\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "The time it takes for the ferris wheel to make (1/2) a revolution is equal to <BR>\n" );
document.write( "One revolution is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2pi ALIGN=MIDDLE  ALT=\"2pi\"   DISABLED_style= \"max-width:90%; height:auto;\" > radians.<BR>\n" );
document.write( "Half a revolution is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=pi ALIGN=MIDDLE  ALT=\"pi\"   DISABLED_style= \"max-width:90%; height:auto;\" > radians.<BR>\n" );
document.write( "If the ferris wheel travels at <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=W ALIGN=MIDDLE  ALT=\"W\"   DISABLED_style= \"max-width:90%; height:auto;\" ><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=rad%2Fs ALIGN=MIDDLE  ALT=\"rad%2Fs\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
document.write( "Then,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t=W%2Fpi ALIGN=MIDDLE  ALT=\"t=W%2Fpi\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "So then set these equal to each other.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=W%2Fpi=%284R%29%2Fg ALIGN=MIDDLE  ALT=\"W%2Fpi=%284R%29%2Fg\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=W=%284%2Api%2AR%29%2Fg ALIGN=MIDDLE  ALT=\"W=%284%2Api%2AR%29%2Fg\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Using your radius,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=W=%284%2Api%2A5%29%2F9.8=6.4 ALIGN=MIDDLE  ALT=\"W=%284%2Api%2A5%29%2F9.8=6.4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=rad%2Fs ALIGN=MIDDLE  ALT=\"rad%2Fs\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "which convert to about 61 RPM or about 1 revolution per second.<BR>\n" );
document.write( "That's pretty fast for a 5M wheel to rotate.<BR>\n" );
document.write( "Amusement park rides like the Rotor spin at about 20-30 rpm for reference.<BR>\n" );
document.write( "Ferris wheels are on the order of 1-2 rpm.<BR>\n" );
document.write( " </SPAN>\n" );
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