rollercoaster story board

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    The Grid

    As done by:Layton Funk

    Kristen ReichertFariha Hamid

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    Element I consists ofthe lift hill, whose

    down hill leads intoElement II.

    Element II is anuphill segment thatleads into Element

    III.

    Element III is made up of aseries of angled banked hills

    that appear to follow along aninclined half-pipe shape. The

    Buzzball will exit in adirection opposite to which it

    entered the element.

    Element IV will havethe Buzzball enter a

    loop-de-loop, ofwhich the enteringand exit height are

    the same.

    Element V is asecond uphill

    segment which willlead the Buzzballinto Element VI.

    Element VI is a turn that isslightly inclined down so that

    the Buzzball will movesmoothly into Element VII.

    From the turn, the Buzzballslides off the track into a funnel

    at an angle in order tominimize the gs felt and then

    swirls about the funnel(Element VII).

    Element VIII is the finale ofthe ride. The Buzzball

    splashes down into the Seaof Simulation (water). There

    is a small current running,which will bring the Buzzballto the exit dock, where the it

    will then be sent up by waysof a pulley/conveyor system.

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    1 cm = 3 meters

    r = 7.5 m

    H=30m

    Element I (Side-view)

    = 53

    Beginning of Element II

    h1 = 2.98 m

    h2 = 23.44 m

    = 6.94 m

    l = 16.65 m

    r = 9m

    = 53

    h3 = 3.58 m

    = 53

    Total distance : 52.94 m

    X North

    O SouthEastWest

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    Element I (Front, Top, andcalculations)

    Front

    X West

    O EastNorthSouth

    Top

    North

    South

    EastWest

    H = 30 m

    x = 38.66 m

    hlift=30 mm=200 kgE0=mghlift=58800 JE(l)=E0-E0[1-(2/100)(l/10)]

    mgh-(E(52.94))=1/2*(1+keff)mv

    2

    venter=0 m/svleave=13.592 m/sFN=mgcos(53)=1179.56Nng=FN/mg=.602 gs on slopesFN=mac=m*vtrough

    2/rcircleFN=200*14.737

    2/9=4826.2Nng=FN/mg=2.462 gs intrough

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    Element II (Side-view)

    Beginning of Element III

    X North

    O SouthEastWest

    r = 6.75 m

    H = 23.42 m

    h = 5.38m l = 12.49 m

    = 53

    1 cm = 3 meters Total distance : 42.466 m

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    Element II (Front, Top, andcalculations)

    Front

    X West

    O EastNorthSouth

    Top

    North

    South

    EastWest

    H = 23.42 m

    l = 24.04 m

    hhill2=27mm=200 kgE0=mghlift=58800 JE(l)=E0-E0[1-(2/100)(l/10)]

    200*9.8*3-(E(95.406))=1/2*(1+1.466)*200*v2

    venter=13.592 m/svleave=4.653 m/sFN=mgcos(53)=1179.56N

    ng=FN/mg=.602 gs on slopesmgcos(53)-FN=m*v

    2/rcircle=377.756Nng=FN/mg=.193 gs on curvestartF

    N=200*5.2022/6.75=801.802N

    ng=.409 gs on hill

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    Element III (Side-view)

    1 cm = 3 meters Total distance : 152 m

    Beginning of Element IV

    X North

    O SouthEastWest

    (A change in direction. Rollercoaster entered Element III

    going South, now exits leadingNorth.)

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    Element III (Front, Top)

    Front

    X West

    O EastNorthSouth

    Top

    North

    Southt

    EastWest

    The energy lost, E(l)=E0-E0[1-(2/100)(l/10)], during this partof the ride and long turns andlow angle of the wavy-banked-

    hills prevents a dangerousamount of gs. (The math wasREAL ugly with this, I gave up,but I did 5 other elementsinstead, so its all good in thehood)

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    Element IV (Side-view)

    1 cm = 3 meters Total distance : 82.83 m

    X West

    O East

    NorthSouth

    r = 10 m

    H = 20 m

    x = 10 m x = 10 m

    Beginning of Element V

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    Element IV (Front, Top, andcalculations)

    Front

    X South

    O NorthWestEast

    Top

    North

    South

    EastWest

    H = 30 m L = 30 m

    hloop=20mm=200 kgE0=mghlift=58800 JE(l)=E0-E0[1-(2/100)(l/10)]

    200*9.8*30-(E(330.236))=1/2*(1+1.466)*200*v2

    venter=10.975 m/svleave=8.998 m/svinversion=7.632 m/s

    FN=mac=m*vinversion2/rinversionFN=200*7.632

    2/10=634.388Nng=FN/mg=.324 gs on inversion

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    Element V (Side-view)

    1 cm = 3 meters Total distance : 22.35 m

    X West

    O East

    NorthSouth

    r1=7.5

    m

    r2 = 4 m

    (A change indirection.Element V

    begins in theNorth

    direction andthen endsgoing West

    into ElementVI.)

    Beginning of Element VI

    = 53= 53

    l = 8.33 m

    l = 4.63 m

    H=8m

    h=7.5m

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    Element V (Front, Top, andcalculations)

    Front

    X South

    O NorthWestEast

    Top

    North

    South

    EastWest

    H = 10 m

    L = 11 m

    hhill3=8mm=200 kgE0=mghlift=58800 JE(l)=E0-E0[1-(2/100)(l/10)]

    200*22*-(E(352.586))=1/2*(1+1.466)*200*v2

    venter=8.998m/svleave=2.591 m/sFN=mgcos(53)=1179.56N

    ng=FN/mg=.602 gs on slopesmgcos(53)-FN=m*v

    2/rcircle=534.793Nng=FN/mg=.0965 gs on curvestartn

    g

    =.205 gs on hill

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    Element VI (Front, Top, andcalculations)

    Front

    X East

    O WestSouthNorth

    Top

    North

    South

    EastWest

    h=8mm=200 kgE0=mghlift=58800 JE(l)=E0-E0[1-(2/100)(l/10)]

    200*22*-(E(359.216))=1/2*(1+1.466)*200*v2

    venter=2.591 m/svleave=5.601 m/sFN=mgcos(53)=1179.56N

    ng=FN/mg=.602 gs on slopesng=.205 gs on hillng-horizontal=4.2^2/4 /9.8=..45 gson turn

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    Element VII (Side-view)

    Beginning of Element VIIIH = 4.5 m

    1 cm = 3 meters Total distance : N/A

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    Element VII (Front, Top)

    Front

    X West

    O EastNorthSouth

    Top

    North

    South

    EastWest

    Smooth transition into thefunnel instead of a simple dropinto water will prevent too manygs from happening.

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    Element VIII (Side-view)

    1 cm = 3 meters Total distance : N/A m

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    Element VIII (Front, Top)

    Front

    X West

    O EastNorthSouth

    Top

    North

    South

    EastWest

    Splash.