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)![]() ![]() 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 \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 \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 \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 \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Answer. The speed of the truck is 54 \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |