Lab Metal Cylinders

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Lab Partner: Aidan McLaughlin Determination of the Density of a Metal Cylinder PURPOSE: a.) To make length and mass measurements on a metal cylinder b.) To calculate volume and density of a metal cylinder c.) To use a physical property in order to make an identification of a metal cylinder BACKGROUND THEORY: The two mathematical equations used to find the density of the metal cylinders were the equations for volume and density. The true value of a brass cylinder is 9.55 g/cm^3. In order to find out the density of the three brass cylinders, the equation Mass divided by Volume was used. The mass of the cylinder was able to be read directly from the balance however the volume was not in this experiment. In order to find the volume, the equation πr^2h was used. Uncertainty and estimation in measurement is key to this experiment because it is not easy to tell where the diameter actually is from the naked eye. One estimates the value of a digit in measurement because they are uncertain of the true value. The purpose of standard deviation and relative standard deviation is to see how precise the data is. Relative standard deviation, which is represented as a percent, was used in this experiment because standard deviation changes depending on the size of the measurements. If the relative standard deviation is a percent below 2%, then the data is very precise. If the percent is between 2-5% then the data is fairly precise, and if the percent is over 5%, then the data is not precise at all. DATA TABLE—see attached CALCULATIONS: Cylinder 1 Radius= 1.21 cm/2= 0.61 cm Volume= (3.14)(0.61 cm)^2 (4.90 cm)= 5.73cm^3 Density= 54.089g/ 5.73cm^3= 9.45 g/cm^3 Cylinder 2 Radius= 1.20 cm/2= 0.6 cm Volume= (3.14)(0.6 cm)^2(5.00 cm)= 5.65 cm^3 Density= 54.079 g/ 5.65 cm^3 = 9.57 g/cm^3 Cylinder 3 Radius= 1.20 cm/2= 0.6 cm Volume= (3.14)(0.6 cm)^2(5.00 cm)=
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