document.write( "Question 110618: A wheel 4 ft. in diameter makes x revolutions. Find x, given that the distance traveled by a point on the circumference of the wheel is 23169 ft. Round your answer to the nearest whole number.\r
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document.write( "The answer is 1844 revolutions but I can't figure out how to get there. \n" );
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Algebra.Com's Answer #80598 by bucky(2189) ![]() You can put this solution on YOUR website! The circumference of a circle (or wheel) is the distance around the outside. It is given \n" ); document.write( "by the formula: \n" ); document.write( ". \n" ); document.write( "C = pi*D \n" ); document.write( ". \n" ); document.write( "where D is the diameter of the wheel and pi is a special number that is never ending but \n" ); document.write( "is 3.14159265 ...... and for most purposes can be shortened to 3.1416 \n" ); document.write( ". \n" ); document.write( "This means that for our equation we can use: \n" ); document.write( ". \n" ); document.write( "C = 3.1416*D \n" ); document.write( ". \n" ); document.write( "and we are told that the diameter of the wheel is 4 feet. That means that the distance \n" ); document.write( "around the outer edge of the wheel is: \n" ); document.write( ". \n" ); document.write( "C = 3.1416*4 feet \n" ); document.write( ". \n" ); document.write( "and if you do the multiplication you get: \n" ); document.write( ". \n" ); document.write( "C = 12.5664 feet. \n" ); document.write( ". \n" ); document.write( "So if you put a mark on the outer rim of the wheel, and you rotate the wheel once, \n" ); document.write( "that spot will travel a distance of 12.5664 feet. \n" ); document.write( ". \n" ); document.write( "The problem tells you that a spot on the wheel is known to have traveled 23169 ft and \n" ); document.write( "asks you to find the number of complete turns or revolutions that the wheel had to make to get \n" ); document.write( "the spot to move that far. Since each turn gives 12.5664 ft you can just divide 23169 by 12.5664 \n" ); document.write( "to find the number of turns. \n" ); document.write( ". \n" ); document.write( "Calculator time: \n" ); document.write( ". \n" ); document.write( " \n" ); document.write( ". \n" ); document.write( "So if the wheel revolves 1843.726 times (rounded to 1844 times) the total distance \n" ); document.write( "traveled by a spot on the wheel will be about 23169 feet. \n" ); document.write( ". \n" ); document.write( "Hope this helps you to understand the problem. \n" ); document.write( " \n" ); document.write( " |