Utilizing Advanced Aerodynamics to Create Efficient Paper Projectiles Lyudong Yan, Junze Wu, Caitlyn Sheiko, Carson Thorton Research Question: How does changing the shape of a paper airplane wing affect how far it can fly? Background: The purpose of our experiment is to develop a paper airplane that can fly as far as possible. We will be using only one piece of 8-inch by 11-inch (Letter-sized) printer paper, to create a paper airplane. We will change the size and shape of the paper airplane’s wings to determine how the paper airplane should be built. We will have 4 experimental groups. The first group will be a short wing paper airplane with a wingspan of 10.7 centimeters. The second group will consist of another short wing airplane, but with a wingspan of 8.7 centimeters, and 1 centimeter winglets on each end. In the third group, we will test a large wing aircraft, with a wingspan of 18.6 centimeters. Lastly, the fourth group will have a plane with a wingspan of 16.6 centimeters, but with 1 centimeter winglets on each side of the wing. Hypothesis: Our hypothesis is that the last experimental group, a large wing plane with winglets, will fly the farthest. The reasoning behind this is that having large wings will lessen the rate at which the plane drops, extending the range. The winglets would act as vertical stabilizers, making the plane fly in a straight line. Variables: Independent Variable: Wing design of the paper airplane Dependent Variable: How far the plane flies Constants: ● Paper used (8 inch by 11 inch) ● Environment (Temperature, air density, humidity, etc,.) To keep these factors constant, we will be conducting the experiments at the same location, and in a 10 minute window of time. ● How hard the plane is thrown. To keep this variable constant, we will have one person throw all airplanes with reasonable, and similar force. ● Length of the airplanes. All airplanes will be 24.9 centimeters in length. Materials: 4 sheets of 8 inch by 11 inch letter paper Small ruler (roughly 30 centimeters long) Large meter stick (100 centimeters or more. Preferably measuring tape) Sufficient area to conduct experiments. (A room approximately XXX centimeters/meters in length, XXX centimeters/meters in height) Chart to store data (# of trials x # of experimental groups) Procedure: 1. Folding Paper Airplanes a. Fold the paper in half lengthwise and unfold b. Fold in corners on short side to meet the center line c. Fold in short side corners again, to meet the center line d. Fold the paper in half e. Repeat the first 4 steps on 4 pieces of paper f. For 2 airplanes, make wings that are 10.7 centimeters g. For other 2 airplanes, make wings that are 18.6 centimeters h. Make 1 centimeter winglets for 1 short wing and 1 large wing airplane 2. Testing the airplanes a. Find an adequate space to test paper airplanes, and ensure uniform environment for all experimental groups b. Have a single person throw all trials with reasonable and similar force c. Repeat each experimental group 5 times d. Measure how far the airplane flies for each trial and compile into a chart 3. Drawing Conclusions a. Find the average distance of each experimental group, and compare to find the most efficient design b. Receive reward of 1 USD 4. Risk/Ethical Assessment a. Below minimum wage Analysis Raw data: Plane type Trial 1 Trial 2 Trial 3 Trial 4 Trials 5 Short wing 492 cm 491 cm 317 cm 467 cm 226 cm Short wing w/ winglets 535 cm 596 cm 658 cm 555 cm 648 cm Large wing 371 cm 309 cm 458 cm 321 cm 420 cm Large wing w/ winglets 579 cm 798 cm 652 cm 784 cm 469 cm Processing Data: Finding the mean of all trials in an experimental group Formula: mean = Sum of data/# of data points Presentation: Flight Distance Wing Type Trial Number Mean Flight Distance 1 2 3 4 5 Short wing 492 cm 491 cm 317 cm 467 cm 226 cm 398.6 cm Short wing w/ winglets 535 cm 596 cm 658 cm 555 cm 648 cm 598.4 cm Large wing 371 cm 309 cm 458 cm 321 cm 420 cm 375.8 cm Large wing w/ winglets 579 cm 798 cm 652 cm 784 cm 469 cm 656.4 cm Conclusions: The plane with large wings with winglets flew the farthest, followed by short wings with winglets. Short wing came in 3rd, with Large wing being last. The planes with winglets flew the farthest, as they flew in straight lines. Large wings with winglets beat short wings with winglets, as the larger wings provided more lift, allowing the plane to go further before falling to the ground. The planes with winglets beat their winglet-less counterparts by an average of 241.5 centimeters. This mostly matches the hypothesis we made. We had expected the Large wing with winglets to win, but we underestimated how much the winglets helped the plane. Other resources that support our data is: Olson, Andrew PhD. "Why Winglets?" Science Buddies, www.sciencebuddies.org/science-fair-projects/project-ideas/Aero_p013/aerodynamics-hy drodynamics/why-airplanes-have-winglets. Accessed 22 Sept. 2023. This article supports how winglets affect how far a paper airplane flies. Evaluation of Investigations: Weaknesses: Our plane kept hitting the walls of the space we were in. (hallway) This affected multiple experimental groups, and swayed the outcome of the experiment. We had difficulty making the planes without winglets fly without bumping the walls and slowing down. Limitations: We did not cover the other dimensions of the paper airplane, such as width, height, or mass. Future research could help to determine how these factors affect the flight of the paper airplane. Our experiment only consisted of 4 basic wing designs, and further research can cover other wing designs, such as fat wing, for delta shaped wing. Other constants that could be changed for additional data includes, but are not limited to: Environment and how hard the plane was thrown.