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Lab02- Measurements Name lahi Kese Lab Partners IL. Pre-Lab Questions: 1. Cite the symbolic formula for the volume of a cylindrical solid with an outer radius, r.& length, L. en luJice ys 兀r,レ 2. Cite the symbolic formula for the volume of a cylindrical hole with an inner radius, n, & length, L. 3. Cite the symbolic formula for the volume of a cylindrical solid with an outer radius, F, which contains a cylindrical hole with an inner radius, r,& length, L 고고 4. Cite the symbolic formula for density, p. 5, Cite the symbolic formula for % relative error, %E. 6. Explain how determining the density will assist you in identifying the unknown material used in the rod? (Hint: consider the process of elimination.) Did you actually read this lab inadvance of the lab session? Yes or No. :) 20 Jan 19 Physics1-Hartley
Name Kare Lab02 - Measurements III. Data Tables & Calculations: Part A: Rod: Your goal is to identify the metal used in the rod via of a comparison of the rods density to that of several known materials. Be sure to record least counts for each device. I. What is the least count of the mass scale (tri-beam or electronic)? Least Count-a 2. What is the least count of the meter stick? 3. What is the least count of the analog vernier caliper? 4. What is the least count of the analog micrometer? 5. Mass: Determine the mass, M of the metal rod & the ring, Mring, using the mass scale Least Count = 1 now Least Count Least Count-l (The large steel ring in some labs already has the mass marked on it, to the nearest gram) 6. Length: Use the meter stick to measure the length, Ld of the rod & the outside diameter, Da, of the large steel ring. Smaller rings can have their outside diameter, D, measured with the calipers. 7. Thickness: Use the vernier caliper to measure the ring thickness, T 8. Diameter: Use the micrometer measure the diameter, D, of the rod. 9. Repeat above measurements 10 times, recording measurements to the nearest least count. Rotate lab partners as you make the measurements Rod Data Table: Keep ALL digits available on each measuring device, do NOT toss away any digits. Lab02 Measurements Rod Trial Mass, MLength,LDiameter. DSample Densities 8.89 Brass 8.47 Aluminum 2.70 Steel 7.86 he .373 1.41 ho radius 000738 Rod Volume 45.26m 005365 avg density 2.f3 m/ rel a w 0 22 2.2S % %E- It is usually NOT acceptable to get the same exact value EVERY time. Most analogue measurements vary slightly one from the next. The digital measurements may be the exception. Physics1-Hartley 20 Jan 19
Lab02 Measurements Name Kare Rod Calculations: 1. Using diameter data from the rod, show detailed, step-by-step, hand calculation of the average& the standard deviation. Start by writing down the symbolic formulas. For the length of the rod, you may use the built-in AVERAGE &STDDEV formulas in Excel to compute of the average & the standard deviation or the ones built into your calculator Rod Diameter, D, (D,-D)(D,-D Cite below the symbolic formulas for the average& standard deviation. E(Di) 10 B.σ. 00 738 N- 1 2. Compute the volume of the rod. Show symbolic formula & work below, Include units. 3. Caleulate the density of the rod. Show symbolic formula & work below. Include units. 4. Identify the material of the rod by comparing your density calculation to the given density values. Material 5. Compute the %-relative error, %E, between your calculated value of the density & the given value. Show symbolic formula & work below %E- Physicsl-Hartley 20 Jan 19
Name Rase Lab02 Measurements Part B: Ring: Your goal is to compare the density of the material used in the ring to the stated textbook value for similar material. ssísmarkedinemanentblack Mass: Measure the mass of the plastic ring, M. If you have a steel ring, its ma marker on the side of the ring. Do NOT put it on the tri-beam balance!!! The steel rings least count is assumed to be 1 gm, as it is the smallest digit marked on the ring. Diameter: Mcasure the outside diameter D, of the plastic ring using the calipers, or of the steel ring using calipers, or of the steel ring using the meter stick Thickness: Use the vernier caliper to measure the ring thickness, T, as shown in the diagram. Height: Use the vernier caliper to measure the height, IH, as shown in the diagram. Repeat above measurements 10 times. Rotate lab partners as you make the measurements Data Table: Keep ALL digits available on each measuring device, do NOT toss away any digits. Lab02 -Measurements Rin Diameter, D Height, H Thickness, T Ring Mass, M Trial 10 Average R, D./ 2 Ring Volume avg density- %E Most analogue measurements normally It is usually NOT acceptable to get the same exact value EVERY time. vary slightly one from the next. The digital measurements may be the exception Physics1-Hartley 20 Jan 19
D02 Measurements La Name eSt Ring Calculations: . Calculate value for the volume of the ring. Show symbolic formula & work below. Include units. 2. Calculate the density of the ring. Show symbolic formula & work below. Include units. 3. Calculate the %-rel. error, %E, between your value & a standard value. Use 7.86 pmem, for steel rings & 1.41 gm/em for plastic rings. Show symbolic formula & work below. %E- 20 Jan 19 Physics1-Hartley
Lab02 - Measurements Name IV. Post-Lab Questions 1. The micrometer worked on the rod, so why couldnt work on the ring? If the instead of the calipers, to measure the thickness, T, of the ring, how would the shapes of the ring& micrometer have combined to create an error? A drawing illustrating the difficulty would be useful here, so please show one micrometer had been used, 2. What type of error (random or systematic) would result if the micrometer were used, instead of the calipers, to measure the thickness, T, of the ring? Explain WHY it is that particular type of error. 3. Would the value of the thickness, T, found with the micrometer be larger or smaller than the caliper value? Explain. (Note: the micrometer result would be more precise but less accurate in this situation.) 4. If you compare the % rel. ơ for the five size measurements: (Drin,H, & T, & Dred & L), which one was the most consistent measurement? Ignore any variables that had zero variation, Justify your answer (warning: the answer may not match your first expectations!) Physics1-Hartley 20 Jan 19
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ercenta^e Relatie error (RE) Trne Vale error - V n the seun valme Appeximate value aI9e.s S0

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