document.write( "Question 1207915: In 2008, the Singapore Flyer opened as the world’s largest Ferris wheel. It has a maximum height of 165 meters and a diameter of 150 meters,with one full rotation taking approximately 30 minutes. Find an equation for the wheel if the center of the wheel is on the y-axis. \n" ); document.write( "

Algebra.Com's Answer #846049 by ikleyn(52781) $\"\"$ $\"About$

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\n" ); document.write( "In 2008, the Singapore Flyer opened as the world’s largest Ferris wheel.
\n" ); document.write( "It has a maximum height of 165 meters and a diameter of 150 meters,
\n" ); document.write( "with one full rotation taking approximately 30 minutes.
\n" ); document.write( "Find an equation for the wheel if the center of the wheel is on the y-axis.
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document.write( "The radius of the wheel is half of its diameter, i.e. 150/2 = 75 meters.\r\n" );
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document.write( "The center of the wheel is  at the height of 165-75 = 90 meters over the ground.\r\n" );
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document.write( "The problem does not tells, which coordinate system to use; so, I will chose\r\n" );
document.write( "the system at the ground level.\r\n" );
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document.write( "In this system, the center of the wheel is the point with coordinates (0,90) meters.\r\n" );
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document.write( "So, in standard equation of a circle\r\n" );
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document.write( "     +  = r^2,\r\n" );
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document.write( "where  (,)  is the center,  \"r\"  is the radius, we should take\r\n" );
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document.write( "     = 0,   = 90,  r = 75.\r\n" );
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document.write( "Thus, the equation of this wheel is\r\n" );
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document.write( "     +  = ,\r\n" );
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document.write( "or\r\n" );
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document.write( "     +  = 5625.\r\n" );
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\n" ); document.write( "\n" ); document.write( "Solved.\r
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\n" ); document.write( "\n" ); document.write( "In this problem, the information about the rate of rotation
\n" ); document.write( "(the duration of one rotation) is irrelevant to the question.\r
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\n" ); document.write( "\n" ); document.write( "A TWIN problem was solved at this forum yesterday under this link\r
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\n" ); document.write( "\n" ); document.write( "https://www.algebra.com/algebra/homework/word/geometry/Geometry_Word_Problems.faq.question.1207910.html\r
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