Lab 7-01 Density and Error Analysis 201D v1 (11) - Copy

.xlsx

School

College of New Jersey *

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Course

101

Subject

Mechanical Engineering

Date

Apr 3, 2024

Type

xlsx

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4

Uploaded by CorporalGoldfinchMaster1042

Companion File to Word Document "Lab 7-01 Density and Error Analysis 201D v1.docx" Highlighted Cells have formulas. Table 1 - Densities of Selected Materials Solid Copper Brass Iron Steel Aluminum Density, ρ (g/cm3) 8.9 ± 0.1 8.5 ± 0.2 7.86 ± 0.02 7.7 ± 0.3 2.8 ± 0.1 Table 2 Cylinder # 1 54.27 2 18.2 3 57.37 Table 3 - Measurements Using a Ruler Height H (cm) Diameter D (cm) Cylinder # Trial 1 Trial 2 Trial 3 Trial 1 Trial 2 Trial 3 1 5.0 5.1 5.1 1.2 1.2 1.2 2 5.1 5.1 5.0 1.2 1.3 1.2 3 5.0 5.0 5.0 1.2 1.3 1.2 Volume and density will automatically be calculated once D, H and m (Table2) are filled in. Use a calculator to verify the answers for Cylinder 1 Table 4 - Average Values Using a Ruler ρ = m/V Cylinder # H avg (cm) D avg (cm) 1 5.1 1.2 5.7 9.5 2 5.1 1.2 6.0 3.0 3 5.0 1.2 6.0 9.6 m best (g) V= (π/4) D 2 H Volume (cm 3 ) Density (g/cm 3 )
Table 5 - Measurements Using a Caliper Height H (cm) Diameter D (cm) Cylinder # Trial 1 Trial 2 Trial 3 Trial 1 Trial 2 Trial 3 1 5.085 5.089 5.096 1.265 1.264 1.265 2 5.069 5.067 5.069 1.271 1.270 1.270 3 5.079 5.089 5.093 1.266 1.266 1.266 Volume and density will automatically be calculated once D, H and m (Table2) are filled in. Use a calculator to verify the answers for Cylinder 1. Table 6 - Average Values Using a Caliper ρ = m/V Cylinder # H avg (cm) D avg (cm) Volume (cm3) Density (g/cm3) 1 5.090 1.265 6.394 8.488 2 5.068 1.270 6.424 2.833 3 5.087 1.266 6.404 8.959 Table 7 - Uncertainties of Measured Quantities using a ruler Measured Quantity Uncertainty Mass δm (g) 0.005 Height δH (cm) 0.05 Diameter δD (cm) 0.05 Use a calculator to verify the answers for Cylinder 1. Table 8 - Final Result for Densities Using a Ruler V= (π/4) D 2 H σ ρ will automatically be calculated once Tables 2, 4 and 7 are completed. 𝜎_𝜌 = ρ√( (𝛿_𝑚/𝑚_𝑏𝑒𝑠𝑡 ) ^2+ ( 2𝛿 _𝐷/𝐷_𝑎𝑣𝑔 ) ^2 "+ " (𝛿_𝐻/𝐻_𝑎𝑣𝑔 ) ^2 )
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