Keshia Agazuma Elias Askins, IV Stephen Bridges Kevin Stilwell EF 151, B1 Our Rube Stamper: “The Construction Zone” Objective: Create a Rube-Goldberg device that, once activated, runs through a series of steps to stamp a 5” 8” piece of paper without any outside interaction. Using a budget of $20, the team had to construct a device that accomplished this task within a .3m .5m .3m constraint. Description: Construction Zone is a device that incorporates projectile motion, conservation of energy, and conservation of momentum all into a few short, yet effective, steps. A marble is launched out of a shooter into a stationary, weighted tennis ball. The tennis ball is knocked onto a spring-loaded platform that is pushed down under the weight of the tennis ball, stamping the paper in the process. Design Process: We initially set out to design a Rube’s Stamper inspired by pinball machines, but quickly ran into complications with the projectile motion aspects of pinball. Our device was originally designed to shoot the “pinball” vertically, but we could not create enough energy within the system we designed to propel an object upward. We then decided to create a “shooter” that would launch horizontally instead of vertically, giving us an opportunity to create the required energy. After settling on how to incorporate projectile motion, we then had to decide on how to display conservation of energy and momentum. We knew that the easiest way to show COM was to use the shooter we designed to propel an object into another one that was initially at rest and that COE would be easily illustrated by showing something falling from a predetermined height. We decided that given what we had already put together, it would be easiest to shoot one ball into another, knocking it over and somehow setting off the stamp. We still wanted to incorporate our initial spring concepts so we chose to make a spring-loaded platform that was connected to the stamp. The problem with this design was rather or not the ball we dropped onto the platform would be heavy enough or fall far enough to make a strong enough impact to overcome the force of the springs. We fixed this problem by simply adding weight to the tennis ball. Even though we were still displaying COE in this part of the project it was the momentum of the ball that would need to change since we could not alter the height of the project. Completed Project Picture: Bill of Materials: Note: All prices are stated based on approximate value of the item, i.e. we had to buy a door hinge to get the spring, which is worth less than the total product purchased. Also, the price of items not completely consumed is reduced based on their proportional use in the project. PVC Pipe: ~$3.00 Rubber Bands: ~$0.25 Tennis Ball: $0.50 (Filled with rocks which are free) Wood: ~$8.00 Tape: ~$0.10 Glue: ~$0.10 Marble: ~$0.25 String: <$0.01 Springs: ~$0.50 Stamp: ~$1.00 Total: ~$13.71 Calculations: Measured Values: Length of the tennis balls fall: 3 inches Length of marbles travel: 3 inches Length of the stamps travel: 1/8 inch Marble mass: 22 grams Tennis ball mass: 180 grams Rubber band’s spring constant: 17N/ inch (Measure in the lab) Spring’s spring constant: 9.8N/inch (This was found by putting a 334 g block on the spring, which compressed it ¼ of an inch. Then by finding the weight of the spring – 334 grams X 9.81 meters per second squared yields 3.27 kilograms, followed by multiplying it by 4 to get it to a whole number of inches.) Equations: FRubberband kx (17 N / inch)(3inches) 51N FSprings 4(9.8 N / inch)(1/ 8inches) 4.9 N Energy of marble after impact: mmarble v 2 (22 g )vmarble 2 * Energy of tennis ball after impact ( x-comp): 2 mtennis v 2 (180 g )vtennis * *Note: The velocities inside the launcher and after the impacts could not be determined, so no exact Conservation of Energy or Conservation of Momentum equation can supplied from what we know. Given that the force of the rubber band is constantly changing as it springs back (F=kx), we were unable to determine the work done. With this value we probably could have found the velocity of the marble, and thus the momentum of the system initially. Potential Energy of tennis ball before impact: ft kg ft 2 mtennis hg (.180kg )(.25 ft )(32.2 2 ) 1.5 s s2 Speed of tennis ball just before hitting platform: vtennis gh (32.2 ft ft )(.25 ft ) 2.8 2 s s Momentum of tennis ball before impact with platform: ft kg ft mtennis v (.180kg )(2.8 ) 0.51 (vertically ) s s Description of what we built: Our design reflected a similar design of a pinball machine. We wanted to shoot a ball out of a shooter into a weighted ball. The shooter consisted of a smaller PVC pipe inside a large PVC pipe. We pulled back on the small pipe, which was attached with a rubber band, and this was what shot the ball out of the tube. The weighted ball then fell onto a platform that was on springs. On the underside of this platform was our stamp, and the weighted ball pushed the platform and stamp down onto a piece of paper. Our platform was held in by four vertical support beams. The springs that were under the platform rested on smaller vertical supports that were attached to the inside of each of the larger supports. Conclusion: Overall our rube stamper was successful. We were able to successfully put a stamp on a piece of paper. In building our stamper, we learned how to work together as a team, putting our ideas together to build a stamper that was functional. Even though it was complex, we learned how to build a machine that did a function that was not as complex. We also learned how to incorporate potential and kinetic energy into our machine, as well as conservation of momentum, to get the job done. However, we did run into a few problems. One problem we ran into was getting our springs to compress far enough to stamp the paper when the weighted ball fell on the platform. Also, we had problems at first with our launcher. We wanted it to be spring loaded, but that was difficult and was not working, which is why we switched to a shooter. The other problem we ran into was finding a small enough, but heavy enough marble to shoot out at the weighted ball, and getting the weighted ball to have enough weight to compress the platform.