Lab 1 (Measurement and Uncertainty) Post Lab Write-up_

docx

School

University of Michigan *

*We aren’t endorsed by this school

Course

126

Subject

Electrical Engineering

Date

Jan 9, 2024

Type

docx

Pages

Uploaded by JudgeMusic1386

Lab 1 (Measurement and Uncertainty) Post Lab Write-up: Rule r Bloc k # App eara nce Leng th (cm) Widt h (cm) Heig ht (cm) Delt a Leng th (cm) Mas s (g) Delt a Mas s (g) Dens ity Rang e (g/c m^3) 1 Lum ber 2.5 2.6 2.5 0.5 10.4 5 0.03 0.62 9- 0.65 8 2 Lum ber 2.6 2.5 2.6 0.5 7.41 0.04 0.42 8- 0.44 9 3 Lum ber 2.5 2.6 2.5 0.5 9.93 0.02 0.59 8- 0.62 5 4 Silve r color ed met al 2.5 2.5 2.6 0.5 46.4 9 0.01 2.80 4- 2.92 0 5 Gold color ed met al 2.5 2.5 2.5 0.5 136. 91 0.02 8.58 9- 8.94 2 6 Rust y color ed 2.5 2.6 2.5 0.5 149. 49 0.02 9.01 8- 9.38 7

met al 7 Blac k met al 2.5 2.5 2.5 0.5 131. 05 0.02 8.22 1- 8.56 0 8 Tran sluc ent color less plast ic 2.3 2.7 2.5 0.5 18.3 4 0.02 1.15 5- 1.20 8 9 Opa que blac k plast ic 2.5 2.7 2.6 0.5 25.5 4 0.02 1.42 6- 1.48 5 10 Opa que whit e plast ic 2.5 2.5 2.7 0.5 20.4 6 0.02 1.18 8- 1.23 7 Calip er Bloc k # App eara nce Leng th (cm) Widt h (cm) Heig ht (cm) Delt a Leng th (cm) Mas s (g) Delt a Mas s (g) Dens ity Rang e (g/c m^3) 1 Lum ber 2.51 2.66 2.51 0.00 5 10.4 5 0.03 0.62 1- 0.62

7 2 Lum ber 2.63 2.54 2.55 0.00 5 7.41 0.04 0.43 2- 0.43 5 3 Lum ber 2.54 2.61 2.51 0.00 5 9.93 0.02 0.59 4- 0.59 9 4 Silve r color ed met al 2.53 2.55 2.56 0.00 5 46.4 9 0.01 2.80 9- 2.82 1 5 Gold color ed met al 2.51 2.52 2.51 0.00 5 136. 91 0.02 8.60 5- 8.64 2 6 Rust y color ed met al 2.52 2.56 2.54 0.00 5 149. 49 0.02 9.10 4- 9.14 2 7 Blac k met al 2.52 2.51 2.54 0.00 5 131. 05 0.02 8.14 0- 8.17 4 8 Tran sluc ent color less 2.27 2.66 2.52 0.00 5 18.3 4 0.02 1.20 1- 1.20 9

Your preview ends here

Eager to read complete document? Join bartleby learn and gain access to the full version

Access to all documents
Unlimited textbook solutions
24/7 expert homework help

plast ic 9 Opa que blac k plast ic 2.51 2.65 2.6 0.00 5 25.5 4 0.02 1.47 3- 1.48 1 10 Opa que whit e plast ic 2.53 2.5 2.66 0.00 5 20.4 6 0.02 1.21 2- 1.22 0 1. What do you think the ten cubes are composed of? Block 1 (Lumber): European Cherry Tree (0.63 g/cm^3) Block 2 (Lumber): Aspen Tree (0.43 g/cm^3) Block 3 (Lumber): Black Gum Tree (0.59 g/cm^3) Block 4 (Metal): Aluminum (2.70 g/cm^3) Block 5 (Metal): Brass (8.73 g/cm^3) Block 6 (Metal): Copper (8.96 g/cm^3) Block 7 (Metal): Nickel 825 (8.14 g/cm^3) Block 8 (Plastic): Polycarbo nate plastic (1.2 g/cm^3) Block 9 (Plastic): Polyvinyl chloride plastic (1.47 g/cm^3) Block 10 (Plastic): Acrylonitrile Butadiene Styre ne (1.21 g/cm^3)

2. Compare the densities with those of published values for common materials: Block 1 (Lumber): European Cherry Tree (0.63 g/cm^3) Actual Density: 0.621- 0.627 g/cm^3 Block 2 (Lumber): Aspen Tree (0.43 g/cm^3) Actual Density: 0.432 -0.435 g/cm^3 Block 3 (Lumber): Black Gum Tree (0.59 g/cm^3) Actual Density: 0.594-0.599 g/cm^3 Block 4 (Metal): Aluminum (2.70 g/cm^3) Actual Density: 2.809-2.821 g/cm^3 Block 5 (Metal): Brass (8.73 g/cm^3) Actual Density: 8.605-8.642 g/cm^3 Block 6 (Metal): Copper (8.96 g/cm^3) Actual Density: 9.104-9.142 g/cm^3 Block 7 (Metal): Nickel 825 (8.14 g/cm^3) Actual Density: 8.140-8.174 g/cm^3 Block 8 (Plastic): Polycarbo nate plastic (1.2 g/cm^3) Actual Density: 1.201-1.209 g/cm^3 Block 9 (Plastic): Polyvinyl chloride plastic (1.47 g/cm^3) Actual Density: 1.473- 1.481 g/cm^3 Block 10 (Plastic): Acrylonitrile Butadiene Styre ne (1.21 g/cm^3) Actual Density: 1.212-1.220 g/cm^3 Sites used: Wood Density Chart , Density of Plastics: Technical Properties , Densities of Metals and Elements Table 3. How do the measurements made with a typical ruler compare to those made with the Vernier caliper? Measurements using the Vernier caliper were more accurate compared to the measurements made with the ruler. This is because the Vernier caliper could use their functions to make the measurements have more precision in their ranges due to their increase of significant numbers. 4. As a class, compile all of the data from each team for each substance and compare average densities as well as standard deviations. Which density measurements have the widest range of uncertainties, your individual group calculations obtained from propagated errors, or the class-wide data

derived from statistical methods? The standard deviation would have the widest range of uncertainty in the measurements made with the Vernier caliper. This is because the smaller the ranges of the measurements, the more variability each measurement task would have. 1. What do you think each of your ten cubes is composed of? Compare both your ruler and caliper densities (with uncertainty intervals!) to those of published values for common materials. Make sure you use the appropriate number of significant figures! Properly cite your sources! Use the formatting provided below. Hint: To determine the uncertainties of your densities (Δd), calculate the propagation of error (also known as propagation of uncertainty). Provide an example calculation with the appropriate number of significant figures. You can scan a handwritten calculation and paste it into your word document. Lumber/Block 1: _____Europeon Cherry Tree_______________________ Ruler Density: 0.629-0.658 g/cm^3 Caliper Density: 0.621-0.627 g/cm^3 What is the published density of this material and why did you choose it? (0.63 g/cm^3), The density of the material is in the ruler density range. Lumber/Block 2: ____________Aspen Tree______________

Your preview ends here

Eager to read complete document? Join bartleby learn and gain access to the full version

Access to all documents
Unlimited textbook solutions
24/7 expert homework help

Ruler Density: 0.428-0.449 g/cm^3 Caliper Density: 0.432-0.435 g/cm^3 What is the published density of this material and why did you choose it? (0.43 g/cm^3), The density of the material is in the ruler density range. Lumber/Block 3: ___________Black Gum Tree_______________ Ruler Density: 0.598-0.625 g/cm^3 Caliper Density: 0.594-0.599 g/cm^3 What is the published density of this material and why did you choose it? (0.59 g/cm^3), The density of the material has the most similar density compared to the measured ruler density range. Silver-colored metal/Block 4: _______Aluminum___________________ Ruler Density: 2.804-2.920 g/cm^3 Caliper Density: 2.809-2.821 g/cm^3 What is the published density of this material and why did you choose it? (2.70 g/cm^3), The density of the material is the most similar with the ruler density range, and the metal’s color fulfills its identity. Gold-colored metal/Block 5: _______Brass___________________ Ruler Density: 8.589-8.942 g/cm^3 Caliper Density: 8.605-8.642 g/cm^3 What is the published density of this material and why did you choose it? (8.73 g/cm^3), The density of the material is in the ruler density range, and the metal’s color fulfills its identity. Rusty- colored metal/Block 6: ____Copper______________________ Ruler Density: 9.018-9.387 g/cm^3 Caliper Density: 9.104-9.142 g/cm^3 What is the published density of this material and why did you choose it?

(8.96 g/cm^3), The density of the material is in the ruler density range, and the metal’s color fulfills its identity. Black metal/Block 7: ________Nickel 825__________________ Ruler Density: 8.221-8.560 g/cm^3 Caliper Density: 8.140-8.174 g/cm^3 What is the published density of this material and why did you choose it? (8.140 g/cm^3), The density of the material is in the caliper density range, and the metal’s color fulfills its identity. Translucent, colorless plastic/ Block 8: ___Polycarbo nate plastic __________________ Ruler Density: 1.155-1.208 g/cm^3 Caliper Density: 1.201-1.209 g/cm^3 What is the published density of this material and why did you choose it? (1.2 g/cm^3), The density of the material is in the ruler density range, and the plastic’s color fulfills its identity. Opaque black plastic/Block 9: ______ Polyvinyl chloride plastic __________ Ruler Density: 1.426-1.485 g/cm^3 Caliper Density: 1.473-1.481 g/cm^3 What is the published density of this material and why did you choose it? (1.470 g/cm^3) , The density of the material is in the ruler density range, and the plastic’s color fulfills its identity. Opaque white plastic / Block 10: __________Acrylonitrile Butadiene Styre ne ________ Ruler Density: 1.188-1.237g/cm^3 Caliper Density: 1.212-1.220 g/cm^3 What is the published density of this material and why did you choose it? (1.210 g/cm^3), The density of the material is in the ruler density range, and the plastic’s color fulfills its identity.

2. How do the measurements made with a typical ruler compare to those made with the Vernier caliper? How do significant figures play a role here? The ruler’s measurements tend to provide a larger range of densities compared to those made with the Vernier caliper, providing more accurate predictions for the materials. The significant figures’ flexibility help to make the density ranges. 3. Answer one of the following: a. What is the most recent show you binged watched? Provide a two-sentence summary. b. If you could kill any fashion trend forever, what would it be? Wearing shirts with no sleeves. c. Post your favorite meme. Keep it appropriate!

Your preview ends here

Eager to read complete document? Join bartleby learn and gain access to the full version