Discussion for Studio 08

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University of North Carolina, Chapel Hill *

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Mechanical Engineering

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Feb 20, 2024

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Discussion for Studio 08 In this experiment, we measured the slip angle of a uniform brass block on four different surfaces to determine the friction coefficient for each surface. We calculated the coefficient of friction using the slip angle, the normal force, and the force of gravity. The experiment determined the slip angle to be: Teflon: 18°, Wood: 22°, Sandpaper - 25°, Rubber - 50°. We estimate uncertainty based off the fact that when we conducted the experiment in the lab, we did 3 trials and measured the angle with the Apple measure app. The uncertainty there was ± 2 ° , which is reasonable for this experiment. The reason we can use the uncertainty from the lab is because the experiments relate well as they both deal with the slip angles of different surfaces. While the surfaces are different kinds, the general idea behind the lab is the same. We can determine the coefficient of static friction from the slip angle based on the equation f s ≤μ s N , where μ s ends up being tan ( θ slip ) . Therefore, the coefficients of friction are as follows: Teflon: 0.32, Wood: 0.40, Sandpaper: 0.47, Rubber: 1.19. A reasonable estimate of the upper and lower bounds for each coefficient of static friction for each surface would be as follows: Surface Upper Bound μ s Lower Bound μ s Ideal Value μ s Uncertainty μ s Teflon 0.38 0.27 0.32 0.06 Wood 0.47 0.34 0.40 0.07 Sandpaper 0.53 0.40 0.47 0.07 Rubber 1.33 1.07 1.19 0.1 We assume the experiment’s design and execution was done as carefully as possible, meaning that the large variations in slip angles can be attributed to the different materials. The results indicate clear differences in the coefficients of friction depending on the material. We have a high degree of confidence in these results, given that the experiment was very controlled, and the results are close to what is expected. The calculated coefficients of static friction match with our assumptions about the frictions of these materials. The Teflon, commonly used in non-stick pans, has the lowest amount of static friction, while the rubber, known to be grippy, has the highest amount. While our findings generally match our expectations, calculated numbers are going to be different found in a textbook, due to minor differences in the materials. In conclusion, this experiment provides information about the different amounts of friction on different surfaces. The slip angles and coefficients help us understand how these materials behave/work. These findings can be useful in different engineering applications, like selecting materials for roads or tires, or anything where friction is a useful force.
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