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Rotational Energy and Roller Coaster Designer

  1. Oct 28, 2009 #1
    1. The problem statement, all variables and given/known data

    2. Relevant equations

    3. The attempt at a solution

    Ride Designer

    A local carnival owner wants you to design a ride for him. Riders are strapped inside a rolling car which rolls down the track shown below. (sorry i cant copy the diagram)

    H=50m with 2 loops and then it stops at the end.

    Focus groups of riders have determined that the riders want the car to roll as fast as possible, but also expect the ride to be very popular. Evaluate the following designs.

    Car A: The Barrel, R=3m, I=½MR^2, Seats 6

    Car B: The Ball, R=3m, I=0.4MR^2, Seats 2

    Car C: The Hoop, R=4m, I=MR^2, Seats 8

    What will be the maximum speed during the ride? Where will it occur? Which car would you choose for the ride and why?
  2. jcsd
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