Advanced Functions

posted by Lily

PLEASE READ THE BOTTOM I ADDED ON!! :) the ferris wheel at an amusement park measures 16m in diameter. the wheel does 3 rotations every minute. the bottom of the wheel is 1m above the ground...
a) determine the simplest equation that models Megan's height above that ground(h) over time (t). give 2 more equations that model the situation. please explain! :)
I need a cosine equation and why is the period 20 mins shouldn't it be 0.33, aren't u you suppose to divided 1 by 3 to get 0.33 as ur period (1 rotation per a min)

  1. Steve

    see related questions below. If you're still stuck, show us your work and your sticking point.

  2. Lily

    period 1/3 = 0.333 (1 revolution per a min)
    k=2pi/1/3
    = 6 pi
    isnt that the k value why would it be 1/10 pi

  3. Steve

    You have figured the period in hours. Reiny did it in minutes, so his period is 6pi/60 = pi/10

  4. Steve

    sorry. You did yours in minutes. He did his in seconds, but the ratio is the same.

  5. Lily

    oh okay thank you makes sense now! would it just be 8 cos (pi/10) +9 for the cosine equation? and what would the period be in seconds? and would that effect the question? cause the next question what is her height after 25 secs

  6. Lily

    Opss i didnt read that, i just refreshed the page! okok, so reiny did it in secs. but for cosine equation would it be 8 cos (pi/10) +9 or different

  7. Lily

    wait but why did reiny write 20 mins for the period?

  8. Reiny

    sorry about the confusion , I just look back at my solution, that should have been 20 seconds
    (at 3 rotations per minute --> 1 rotation in 20 seconds)
    the math stays the same, t is in seconds

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