Everybody Dance Now. X Christopher Drinnon. X Danielle Karman. X Joey Moran. X Thomas Swearingen. X Robert Wilkins. Rollercoaster
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1 TEAM C. & C. MUSIC FACTORY Everybody Dance Now Rollercoaster X Christopher Drinnon Christopher Drinnon X Danielle Karman Danielle Karman X Joey Moran Joey Moran X Thomas Swearingen Thomas Swearingen X Robert Wilkins Robert Wilkins
2 The task of this project was to design and build a rollercoaster that would transport an object from a start point to an end point as close to fifteen seconds as possible. Our project was design using grooved wood to form a track for the ball to travel down. We also came up with the idea of using an electric motor to lift the steel ball from the bottom to the top of our roller coaster. The ball is pulled up by the motor with 3.11 x 10-2 pound feet of torque. The ball accelerates down the wooden track at 2.50 x 10-1 feet per second per second to a final speed of 6.75 feet per second to where it falls 10 inches into a catch. The energy loss in our design came out to be 1.00 pound-foot of torque. Our rollercoaster completed the goal of moving the object from start to finish in just over 15 seconds. ii
3 3 Introduction For our team project in Engineering Fundamentals 151, we were asked to design and construct a roller coaster. The goal of the roller coaster is to transport an object from a starting point to a finish point as close to fifteen seconds as possible. The guidelines stipulate that the roller coaster must fit in a ½-meter-by-½-meter-by-½-meter box when folded up. If the design was folded up, each team was given thirty seconds to unfold and set up their roller coaster. The object may be started by hand, but once it was moving, it cannot be tampered with in any way. The roller coaster may be made out of any material, but the project has a budget of forty dollars. In addition, the device must operate in a safe, non-destructive manner. Design Process Our original design was quite a bit different from the design that was presented. The original design was to use metal wires that were attached to metal supports with a soldering iron. This design was going to take a copious amount of time to construct; in addition, the materials would exceed the budget. Our next design consisted of rubber tubing attached to wooden supports. This design once again failed. The problem was that we could not find tubing with a large enough diameter for our steel ball to fit through. Furthermore, the tubing would become more of a parabola when it was bent around a curve. Both of these two failed attempts lead us to the current design of our roller coaster. The coaster is made completely from wood which makes our roller coaster exceptionally sturdy. Joey came up with the idea that we should also put an elevator to raise the ball with the use of an electric motor. This design was extraordinarily less time consuming than our previous preparations. All it required was a wood router, wood, nails, glue, and plenty of patience. Device The Everybody Dance Now roller coaster is designed to have a steel ball travel up an elevator by use of an electric motor, roll down through a series of zigzags, and drop into a catch (see Figure 1 on the right). As I have said before, the roller coaster is built with primarily wood and nails. The vertical support, in which the lift is attached, is made from wood that is about 19 inches tall. The steel ball travels up the column by an electric motor with magnets that are attached to a plastic chain with glue by the use of a hot glue gun. The electric motor is powered by two AA sized batteries Figure 1. Diagram of Rollercoaster which turns a gear cog attached to the chain. Once the ball arrives at the top, it is stripped from the magnet by a wooden wedge where it falls 2.5 inches. Then the ball rolls freely down a grade of approximately 3 degrees through a series of zigzags. After it repeats this process seven times, it then proceeds to fall 10 inches into a catch.
4 4 Results The results conclude that our design is a success. The roller coaster works every time with the exception of the ball sometimes bouncing out of the catch. The final velocity of the steel ball is calculated to be 6.75 feet per second using Equation 1.1. The acceleration of the ball was calculated to be 2.50 x 10-1 feet per second per second by Equation 1.2. The work in by the motor was calculated to be 3.11 x 10-2 pound-feet. This was obtained by Equation 1.3. The energy loss for the system was quite a bit higher calculating at 1.00 pound-foot by Equation 1.4. The project took a lot of planning time, but worked very well in the end. Conclusion Our project for Engineering Fundamentals 151 is a roller coaster built from wood. The estimated cost for the materials is $10 for motor and batteries, $1 for nails, $1 for glue, $10 gears and chain, $6 for magnets and balls, and $5 for wood. Altogether, the project totaled to be thirtythree dollars, which fits in the budget limitation. The project took a great deal of time to plan, but once we got all the kinks worked out, the project came together quickly. We spent about 6 to 7 hours constructing the roller coaster. The hardest part was making the curves at the end of each piece of track. Overall, the roller coaster turned out well. This project was fun to work on and helped our team apply principles that we have learned in class to our roller coaster.
5 5 Appendix A Equations Equation 1.1 mgh = 1 2 mv2 Equation 1.2 s 2 = s 1 + v 2 2 +v 1 2 2a Equation 1.3 Equation 1.4 W = mgh E loss = mgh mv2 Appendix B Matlab Program clear all, clc, format short gravity = 32.2; mass =.0189./ gravity; %.303 oz ->.0189 lb %% Velocity velocity = sqrt( 2.* *gravity) %ft/sec %% Work In work_in = mass.* gravity.* (19.75./ 12) %lb-ft no acceleration) * distance % The force (weight since %% Energy Loss energy_loss = (mass.* gravity.* (19.75./ 12)) (.5.* mass.* velocity.^2) %lb-ft %% Acceleration acceleration = ((velocity^2-0^2)./ (2.*(7.* 13))) %ft/sec^2
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