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Ferris wheel question

  1. May 11, 2016 #1
    1. The problem statement, all variables and given/known data

    The Ferris wheel at a carnival has a diameter of 18m and descends to 2m above the
    ground at its lowest point. Assume that a rider enters a car at this point and rides the wheel
    for two revolutions

    (A) model the riders height above the ground vs the angle of rotation using a transformed sime function.
    2. Relevant equations


    3. The attempt at a solution
    I know the answer is y= 9 sin (x-90) + 11

    I know the a is 9 because the 18/2 and the c value is 11 because 2 + 9 = 11 but I don't know how they got to (x - 90)
     
  2. jcsd
  3. May 12, 2016 #2

    andrewkirk

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    You need the wheel to be at its lowest point when the person gets in, which is when ##x=0##. So you need the formula to be at a minimum when ##x=0##. What is the minimum value of the sine function, and at what angles does it occur?

    [Note: The 90 must be 90 degrees for the answer to be correct]
     
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