document.write( "Question 980517: Good day, can you help me in this trigonometry problem please?\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Each tire on a truck has a radius of 18 inches. The tires are rotating at 500 revolutions per minute. Find the speed of the truck to the nearest mile per hour.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Thank you.....
\n" ); document.write( "

Algebra.Com's Answer #601640 by ikleyn(52841)\"\" \"About 
You can put this solution on YOUR website!
\r
\n" ); document.write( "\n" ); document.write( "Let us find the circumference  (the length of the circle)  of the radius  r = 18 inches.\r
\n" ); document.write( "\n" ); document.write( "It is   \"2%2Api%2Ar\" = 2*3.14*18 = 113.04 inches.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "So,  when the wheel of the truck makes one rotation  (one revolution),  the truck moves  113.04  inches ahead.\r
\n" ); document.write( "\n" ); document.write( "When the wheel of the truck makes  500  rotations,  the truck moves  500*113.04 = 56520  inches ahead.  It is  \"56520%2F12\" = 4710 feet.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "So,  the speed of the truck is  4710 feet per minute. \r
\n" ); document.write( "\n" ); document.write( "It is  4710*60 = 282600 feet per hour,  or  \"282600%2F3\" = 94200  yards per hour.  (Reminder:  1 yard = 3 feet). \r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Now,  to convert this speed to miles per hour,  we need to divide the value of  94200  by  1760,  because  1 mile = 1760 yards  (see the  article  from Wikipedia). \r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "In this way you get the speed of  \"94200%2F1760\" = 53.52 \"mi%2Fh\".\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Answer.  The speed of the truck is  54 \"mi%2Fh\"  (approximately). \r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "
\n" ); document.write( "
\n" );