Egg Crack Lab Report
Beyond the common goal of winning the egg drop competition, our team had a more specific goal. That was to create a device that would not make any eggs crack.
The problem, then, was to design a device with maximal padding to keep the eggs safe. We wanted to create something that even if one safety feature failed, others would kick in. Therefore, we were inclined to experiment with many different packing materials and bubble wrap types.
We started out with three tupperware containers and three eggs. In each container, we placed two broken up packing peanuts, followed by an egg. We filled the excess space with more packing peanuts, and closed the lids. We constructed the body of our initial package inside a 10-inch fish bowl. We taped two sheets of bubble wrap together and then placed them inside the fishbowl so they lined the interior surface. All the folds created by the curvature …show more content…
Rotating this function around our axis of revolution would create a three dimensional solid which we could then find the area of by the formula described below. This worked because the two dimensional image of the object extended approximately equal distances from the x-axis at any given point. Thus, the object can be thought of as a series of disks with thickness dx stacked together. To find the volume, we used a definite integral (see formula above). R represents the radius of the object at any given point. Our limits of integration are 0.0 and 15.2; these replace a and b, respectively. Since the radii vary over (0.0,15.2), R is replaced with the function: f(x)=-0.0000845x6+0.0038208x5-0.0682880x4+0.6151130x3-2.9698600x2+7.4585500x-0.0122591. The above equation was found by using the Desmos regression function. The sextic equation was extremely precise. In fact, 99.62% of the variation in our data points could be accounted for by the model. The diagram below shows our data points with f(x)
The problem, then, was to design a device with maximal padding to keep the eggs safe. We wanted to create something that even if one safety feature failed, others would kick in. Therefore, we were inclined to experiment with many different packing materials and bubble wrap types.
We started out with three tupperware containers and three eggs. In each container, we placed two broken up packing peanuts, followed by an egg. We filled the excess space with more packing peanuts, and closed the lids. We constructed the body of our initial package inside a 10-inch fish bowl. We taped two sheets of bubble wrap together and then placed them inside the fishbowl so they lined the interior surface. All the folds created by the curvature …show more content…
Rotating this function around our axis of revolution would create a three dimensional solid which we could then find the area of by the formula described below. This worked because the two dimensional image of the object extended approximately equal distances from the x-axis at any given point. Thus, the object can be thought of as a series of disks with thickness dx stacked together. To find the volume, we used a definite integral (see formula above). R represents the radius of the object at any given point. Our limits of integration are 0.0 and 15.2; these replace a and b, respectively. Since the radii vary over (0.0,15.2), R is replaced with the function: f(x)=-0.0000845x6+0.0038208x5-0.0682880x4+0.6151130x3-2.9698600x2+7.4585500x-0.0122591. The above equation was found by using the Desmos regression function. The sextic equation was extremely precise. In fact, 99.62% of the variation in our data points could be accounted for by the model. The diagram below shows our data points with f(x)