# Measurement and Determination of Density

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Measurement and Determination of Density

By: Ariana Kevelier

Partners: Freddy Ruiz

and Shuwen Chen

Physics 1433

06/02/2017

Measurement and Determination of Density

Objectives: The objective of this experiment is to measure the mass densities of a rectangular                         block, cylinders, and spheres. to find the length, width and volume of a                                 rectangular block in centimeter and inches, to find the mass in gram and the                         percentage error and the density and standard density in g/cm3. To find the mass                         in gram, height, diameter, radius, and volume all in centimeter and inches, the                         density and standard density in g/cm3 and percentage error of three different                         cylinders (Brass, Copper, and Aluminum). Also, to find the mass in gram,                                 diameter, radius, volume in centimeter and inches, density and standard density in                 g/cm3 and percentage error of two spheres. After finding the measurements of the                         rectangular block, cylinders, and spheres, and graph the length in inches and the                         length in centimeter and graph it, and then the volume in inches and in centimeter                         and graph it to find the slope.

Theoretical Background:

1in = 2.54cm

1in3 = 16.39 cm3

1cm = 10mm

• Rectangular Block:

Volume = Length x Width x Height = LxWxH

Density = Mass ÷ Volume = M ÷ V

• Cylinders:

Radius = Diameter ÷ 2 = D ÷ 2

Volume = π (radius)2 (height) = πr2h

Density = Mass ÷ Volume = M÷V

• Spheres:

Density = Mass ÷ Volume = M ÷ V

Radius = Diameter ÷ 2 = D ÷ 2

And Their Percentage Error. % error = ((/Vexperiment – VStandard Density/) ÷ VStandard Density) x 100 = ((/Vexp – Vst/) ÷ Vst) x 100

Procedure:

• Rectangular Block

Step 1:  Use the Triple Beam Balance to determine the mass of the block in gram.

Step 2:  Use the Vernier Caliper to find the length, width, and height of the block in centimeter         and inches.

Step 3: Once the Length, Width, and Height is figured out we find the volume by multiply the         length times the width times the height (V = L x W x H).

Step 4: Find the Density by dividing the mass (g) by the volume in centimeter (cm3) of the         rectangular block.

Step 5: The Standard Density is given by the instructor.

Step 6: Find the Percentage Error, by using the formula. ((/Vexp – Vst/) ÷ Vst) x 100.

Step 7: Replace Vexp by the (experimental) density, and the Vst by the standard density and solve         to get the percentage error.

• Cylinders (Brass, Copper, & Aluminum)

Step 1: Use the Triple Beam Balance to determine the mass of the three cylinders in gram.

Step 2: Use the Vernier Caliper to find the height of the cylinders in centimeter and inches.

Step 3: Use the Vernier Caliper to find the diameter of the cylinders in centimeter and inches.

Step 4: Find the Radius by using the formula Radius = diameter ÷ two. (R = D ÷ 2)

Step 5: Find the Volume by using the formula Volume = π (radius)2 (height).

Step 6: Replace V= πr2h with the radius of the cylinders and it’s heights and then solve.

Step 7: Find the Density by dividing the mass (g) by the volume in centimeter (cm3) of the         cylinders.

Step 8: The Standard Density is given by the instructor.

Step 9: Find the Percentage Error, by using the formula. ((/Vexp – Vst/) ÷ Vst) x 100.

Step 10: Replace Vexp by the (experimental) density, and the Vst by the standard density and         solve to get the percentage error.

• Spheres (Big and Small)

Step 1:  Use the Triple Beam Balance to determine the mass of the Spheres in gram.

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