Koshi High School Oida Ryosuke Nakamura Kazuki Air resistance affects falling objects When we cant ignore air resistance, the faster the speed of a falling object, the higher the air resistance When air resistance becomes equal to gravity, the object reaches terminal velocity We want to research the relationship of terminal velocity and air resistance To research the relationship of terminal velocity and air resistance when an aluminum cup falls in the air Why choose an aluminum cup? Observation is easy Reaches terminal velocity immediately First only gravity affects the object When the object gains speed, its affected by air resistance At low speeds: R=kv R air resistance v terminal velocity k constant When the object reaches a fixed speed, air resistance and gravity are balanced and the aluminum cup falls at a constant speed This is called Terminal velocity Air resistance force involves three things: Air resistance coefficient Surface area Speed For example Flat board 1.2 Glove 0.5 Prius 0.26 resistance has viscous resistance and inertial resistance. viscous resistance proportional to the speed inertial resistance proportional to the square of the speed kv kv is air resistance (in N) v is speed (in m/s) k is a constant of proportionality We pile aluminum cups and increase the amount of mass. We look for changing resistance from changing terminal velocity and we search for the relationship We recorded the aluminum cups falling along the experimental device. The experimental device it is a ruler attached to a board We checked the video on a PC and we replayed each frame. We searched for the distance. Then we searched for how much the distance changed each second. Next, we piled aluminum cups and we did a similar experiment (figure1) Figure piled aluminum cups the number of aluminum cups Terminal velocity m/s Square of the terminal velocity m/s Figure the results of experiment 2 We expected R=kv 2 When we reduced the number of aluminum cups, we got good data. When we increased the number of aluminum cups The results are markedly different because the coefficient of air resistance changed Dont change the shape of the object to be dropped By increasing the mass, find the change in resistance from the change in terminal velocity, and examine the relationship The increased mass of the aluminum cup with reference to FIG. 3 We found the terminal velocity in the same manner as Experiment 1 Figure 3 The folded aluminum cup that was placed the number of aluminum cups Terminal velocity m/s Square of the terminal velocity m/s When we increased the number of cups, the graph was disturbed Aluminum cups didnt reach terminal velocity The relationship was proportional to the square of the mass and speed When aluminum cups are falling, air resistance force is proportional to the square of the speed. We will change the conditions of the falling aluminum cup. We will investigate the relationship between the speed and resistance of falling aluminum cups Thank you for listening!