document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=417610>Question 417610</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I have this question for a trig test and never seen anything like this in class before. Any help would be appreciated.\r<BR>\n" );
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document.write( "A planet rotates on its axis through its poles and one revolution takes 1 day (1 day is 26 hours). The distance from the axis to a location on the planet 30 degrees north latitude is about 2447.5 miles. Therefore, a location on the planet at 30 degrees north latitude is spinning on a circle of radius 2447.5 miles. Compute the linear speed on the surface of the planet at 30 degrees north latitude. The linear speed on the surface of the planet is _______ miles/hr.   </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #292345 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=292345\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> I have this question for a trig test and never seen anything like this in class before. Any help would be appreciated.<BR>\n" );
document.write( "A planet rotates on its axis through its poles and one revolution takes 1 day (1 day is 26 hours). The distance from the axis to a location on the planet 30 degrees north latitude is about 2447.5 miles. Therefore, a location on the planet at 30 degrees north latitude is spinning on a circle of radius 2447.5 miles. Compute the linear speed on the surface of the planet at 30 degrees north latitude. The linear speed on the surface of the planet is _______ miles/hr.\r<BR>\n" );
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document.write( "I have found the best way to work these kinds of problems is to use dimentional analysis: The circumference at 30 degrees latitude=2pi*radius=2pi*2447.5 mi<BR>\n" );
document.write( "This is the distance traveled in one revolution which takes 26 hours.<BR>\n" );
document.write( "Using dimentional analysis,<BR>\n" );
document.write( "(revolution/26 hrs)*2pi*2447.5 mi/revolution*<BR>\n" );
document.write( "revolution cancels out<BR>\n" );
document.write( "2pi*2447.5 mi/26 hrs=591.47 mi/hr\r<BR>\n" );
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document.write( "ans:<BR>\n" );
document.write( "The linear speed on the surface of the planet is 591.47 miles/hr.<BR>\n" );
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