August 21, 2014
Purpose: To determine the thickness of aluminum foil through the use of the density formula applied to gathered data.
Theory: The thickness of aluminum foil cannot be directly measured. In order to find the thickness, many pieces of data must be obtained and used in the density formula. The data that must be obtained is the length, width, and mass of the aluminum foil. These need to be collected because they will complete the formula:
Density = mass / volume
The mass can be measured by using a balance. The length and width can be measured by using a meter stick. The mass found with the balance will go into the mass area of the formula. The length and width will be part of the volume portion of the formula. The volume part of the formula will also have the undetermined variable of the thickness. This is the case because:
Volume = (Length) (Width) (Thickness)
In order to make an equation that can be used to solve for “t”, thickness. The density formula along with the volume formula must be reworked. To get volume out of the denominator the product of the volume and density must be discovered. Then, the quotient of mass over the product of density, length, and width will be discovered leaving an equation of:
Thickness = (Mass) / (Density) (Length) (Width)
The density of the aluminum can be found with in the textbook. This number will also be inserted into the density formula. The formula will be solved through multiple steps. First, the data will be placed into the density formula. Then, the product of the length and width will be calculated. The product of the density and the partial volume will be found. The calculation will be set equal to the product of the mass. The quotient of the mass and the new number formed by the product of the density and the partial volume will be calculated. This calculation will be set equal to the unknown thickness variable. Finally, the thickness of aluminum foil will be discovered.
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