document.write( "Question 1190375: A child enters a carousel that takes one minute to revolve once around. The child enters at the point (0,1), that is, on the due north position. Assume the carousel revolves counterclockwise.
\n" ); document.write( "What are the coordinates of the child after 45 seconds? \n" ); document.write( "
Algebra.Com's Answer #821997 by math_tutor2020(3817)\"\" \"About 
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\n" ); document.write( "1 revolution = 1 minute ---> angular speed is 1 rpm
\n" ); document.write( "45 seconds = 45/60 = 3/4 of a minute\r
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\n" ); document.write( "\n" ); document.write( "I recommend drawing out an xy grid.\r
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\n" ); document.write( "\n" ); document.write( "Place (0,1) on the grid.
\n" ); document.write( "I'm assuming the center of rotation is the origin.
\n" ); document.write( "If so, then 3/4 of a full turn means we rotate from (0,1) to (-1,0) to (0,-1) then finally to (1,0).
\n" ); document.write( "This is if we move counterclockwise.
\n" ); document.write( "The angle of rotation is (3/4)*360 = 270 degrees.\r
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\n" ); document.write( "\n" ); document.write( "That corresponds to the compass positions of North, West, South, and East in that order.\r
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\n" ); document.write( "\n" ); document.write( "North = (0,1)
\n" ); document.write( "West = (-1,0)
\n" ); document.write( "South = (0,-1)
\n" ); document.write( "East = (1,0)\r
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\n" ); document.write( "\n" ); document.write( "Answer: (1,0)
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