Scaling and Foot Loading by clickmyadspleaseXOXO


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									Lab 1: Scaling and Foot Loading Introduction We will be learning about body size and scaling in this experiment by examining the relationship between foot area and body size. We will test two hypothesis using the foot size and height of the class as the variables. The first is that foot area will scale isometrically with mass. The second is that foot area will scale allometrically with mass in order to maintain a constant foot load. Materials and Methods Materials: Ruler Measuring tape Methods: Measure the length and width of the foot in centimeters, using the entire class as subjects. There are 12 subjects total. Measure the height using the measuring tape. Calculate the relationship between foot area and mass, using Excel to create a graph of the results. Results
Log Mass vs Log Foot Area
2.55 2.5 2.45 2.4 2.35 2.3 2.25 2.2 2.15 6.55 Series1 Linear )Series1( y = 1.3745x - 6.8267 R 2 = 0.606






Figure 1. Graph of Log Mass vs Foot Area
Mass Vs Foot Area 350

y = 6E-05x - 79.693 Series1

Foot Area (cm^2)

300 250 200 150 100 300000 400000 500000 600000 0 0 0 0 Mass (gram s) Linear (Series1)

Figure 2. Graph of Mass vs Foot Area

In the graph of Log mass vs Log Foot area (Figure 1), the slope was equal to 1.37. Discussion Our data showed isometric scaling of the foot area with regards to mass. But because the volume of our bodies (cubes) grows at a faster rate than our foot area increases, we should scale allometrically.

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