For this project, we were tasked with building a Rube Goldberg Machine, a machine that completes a simple task in an overly complex way. The concept was popularized by American cartoonist Rube Goldberg who created cartoons of fantastically complicated machines which performed utterly trivial tasks. In our project, the machine was also required to have a theme to link all the machine's actions to a single idea or concept.
I was put in a group with 3 other team members. We started our build by brainstorming possible themes, and our group ended up deciding on a theme of gardening. Once our theme was established, we began drawing out a rough layout of our machine and deciding on the steps it would perform. Since our group's machine reflected a theme of gardening, our machine's actions represented each of the steps needed to successfully grow a strong flower. We now began building our machine. Due to the circumstances surrounding distanced learning, each member of our group completed one quarter of the machine individually and each section was then linked together into one cohesive video. Once the build process was completed, we created our final presentation (linked below) which covered our construction process, calculations, and other related analysis content.
Our completed machine had a total of 20 steps. It planted a seed, watered it, gave it sunlight and pruned the plant, and at the end the (artificial) flower "bloomed". Attached on the left is a video of the machine in action, in which you can see the details of how each step was completed using a variety of simple machines. We took care to ensure that each final step of each section linked cohesively to the next section, so that the video does not leave the viewer confused at how the machine would work if it were constructed as one unit.
Velocity is the ratio of distance over time. It is the speed of an object along with which direction it is moving in. The metric unit of velocity is m/s, or "meters per second".
In our machine, the velocity of the marble at the end of section 1 was approximately 0.64m/s. This means it was moving down the ramp at a rate of 0.64 meters every second. I calculated this by first finding the mechanical advantage of the ramp by dividing its length by its height. Then, I calculated the acceleration of the marble down the ramp by using the fact that acceleration is proportional to force, and finally I calculated the velocity by solving for v in the equation a = Δv / Δt.
Acceleration is the rate at which velocity changes — it is the ratio of velocity over time. The metric unit of acceleration is m/s², "meters per second squared".
The acceleration of that same ball was 1.77m/s² (calculated as described above). This means that its velocity was increasing at a rate of 1.77m/s every second.
A force is a "push" or "pull" on an object, which may result in a change in motion. The force exerted is equal to the acceleration times the mass of the object. Therefore, the customary unit of force is kg · m / s² , which is abbreviated "N" ("Newton").
In step 7 of our machine, a golf ball fell into a cup. The force that the golf ball exerted on the cup was 0.0138N. This was calculated by taking the acceleration due to gravity and multiplying it by the mass of the golf ball, as per the force equation F = ma.
Work is a measurement of force applied over a distance. It can also be thought of as the amount of energy "put into" performing a task. The amount of work done is equal to the force times the distance, and therefore the unit for work is N · m, abbreviated "J" ("Joule").
In step 1 of our machine, a finger pushes on a lever. The work done by the finger was 0.06J because it exerted a force of 1.5N over a distance of 0.04m (and 1.5N · 0.04m = 0.06J).
Potential energy is a measurement of how much energy an object "has". The most common example of such energy is gravitational potential energy — a raised object will have higher potential energy than one on the surface, because it can convert more energy into kinetic energy by falling farther. This kind of potential energy can be said to be due to the object's position in the gravitational field.
Gravitational potential energy is equal to the mass of the object times the acceleration due to gravity times the height of the object above the surface. Because of this, potential energy is measured in Joules. Another interesting relation is that the change in potential energy over a period of time is equal to the work done on that object (over that period of time). This, too, verifies that potential energy should be measured in Joules.
Because the work done by the finger was 0.06J, we can say that it had a potential energy of (at least) 0.06J before pushing the lever. This comes from the fact that W = ΔPE, and therefore the potential energy must have been at least 0.06J to be able to do the work to move the lever.
Kinetic energy is a measurement of an object's energy due to motion. For instance, a fast-moving car will have high kinetic energy, while a slow-moving turtle will have very low kinetic energy. Kinetic energy is equal to one half of the mass of the object times the velocity of the object squared — here we see the clear relationship between the velocity of an object and its kinetic energy.
Since the velocity of the marble at the end of section 1 was was 0.64m/s and its mass was approximately 0.0178N, it had a kinetic energy of ~0.022J at the end of the ramp. This comes from the fact that 1 / 2 · 0.0178N · (0.64m/s)² = 0.022J.
Mechanical advantage is a measure of how much easier a machine makes a task. It can be calculated as the ratio between the force exerted on the load of the machine and the force exerted on the machine itself (the force of the effort), or as the distance that the effort moves divided by the distance that the load moves (this, however, disregards friction and assumes 100% efficiency of the machine). Therefore, mechanical advantage is unitless — it is merely a ratio of "times easier".
In step 8 of the machine, the mechanical advantage of the lever on the left is approximately 2.5 and the mechanical advantage of the lever on the right is roughly 2.14. Both were calculated by dividing the distance of the effort by the distance of the load.
A simple machine is one of six foundational "building block" machines that make an objective task easier. They are:
Levers
Pulleys
Wheels and axles
Screws
Wedges
Inclined planes
Our machine included 5 out of the 6 simple machines as required (it did not have a screw).
Levers
A gear (a form of wheel and axle) and a pulley
An inclined plane
Shears, a form of wedge
My final blueprint
Blueprints, also known as schematics, are diagrams of a physical machine, tool, or other object drawn to-scale. They are used primarily for design of the machine — by verifying that a machine "works" on paper, there is a much greater chance of it working in real life. The building process is greatly simplified since the diagram is drawn to-scale; all that must be done is find the required materials and perform the construction, rather than have to determine what dimensions each piece will have "on-the-fly".
In our project, we made initial blueprints, but these blueprints were not very accurate measurement-wise. However, we also made blueprints after construction was finished, and these were much more accurate and detailed.
A construction log is a record of the process of construction for a particular machine or other object. In our project, we each kept construction logs for our sections of the machine as well as for our final presentation. You can find our log in the presentation linked above.
Overall, I believe that the project went fairly well for me. For one, I did well with the calculation of the physics behind the machine. I've always had a great interest in math and problem-solving, so the calculations fit right in to that critical thinking strength (one of the 6 C's). Additionally, I think the collaboration aspect of the project (from the perspective of my contributions to the team) went very well. I was originally not enthusiastic about the theme of gardening, but since the group wanted that theme I worked hard to make it the best I could. Also, throughout the entire project I was constantly monitoring our team's progress to make sure that we met the deadlines and got everything done on time. When it became clear that not everyone was going to get all the work in by the desired date, I did my best to try and help them out. Once they did get the work in, I worked as hard as I could to incorporate their material into the slideshow with the limited time I had while keeping our presentation as professional as possible.
However, the project was certainly not perfect. The biggest factor in this was inadequate planning. The initial blueprints were not very accurate and did not have precise measurements that would have worked in the real world. For this reason, construction of the machine was done very much ad-lib, and therefore the construction process was not very efficient (or fun for that matter). Therefore, I think the critical thinking aspect of the project had both a positive side and a negative side. In the future, I will definitely plan the project more carefully and more accurately. Additionally, I think the communication aspect of our project was mostly good but partially bad. Our presentation was fairly professional, but due to the adaptations we had to make to present it virtually there were a few unforeseen issues. To begin, my cursor was visible on the Zoom screen share, which I was unaware of because I had been under the impression that Zoom hid the presenter's cursor. This may have caused a distraction to the content of the presentation. Also, the videos were extremely jerky due to Zoom's buffering. I would have made the videos in slow-motion had I known of this so that the audience could see what was happening more clearly. Therefore, in the future I will do a careful "test-screening" of my presentation so that I make sure there are no technology glitches or issues.
While the project was definitely not perfect, I would say that overall it was a success. I definitely learned some important lessons that I will carry with me to future projects and any future presentation. I also had some successes, which I will learn from and try to emulate in the future.