Lab 1 - m=5.0509(radius disk 2.403225 This model matched...

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Nick Hookham Phys 5/9/07 Intro Lab Using the basic formula for density that density=mass(m)/volume(v) and given the density of 1.18 g/cm 3 , m is thus equal to 1.18*v. The actual volume of the disk is not just taken as the cylinder as a whole, but by also taking the volume of the cyndrilical hole in the center and subtracting that from the total volume of the disk as shown here: v=п*height*radius disk 2 - п*height*radius hole 2 . Thus the equation with substitutions would be m=1.18 g/cm 3 * п*.545*radius disk 2 - п*.545*(.635/2) 2 and it would further simplify into
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Unformatted text preview: m=5.0509((radius disk ) 2-.403225). This model matched our data almost perfectly through all of our measured data points because our calculated density was only .056 g/cm 3 off of the official density. Thus there was no specific range that matched our data much better in one place than another; however the trend lines began to separate slightly after diameter reached fifteen cm. This is because as the as the diameter got larger, our measurements became less accurate because we had to use a meter stick instead of the caliper....
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