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= Write out the equation for the volume of a single sheet, Vsheet, of paper using the number of sheets n and the total volume of the stack of papers Vstack. OCEDURE

= Write out the equation for the volume of a single sheet, Vsheet, of paper using the number of sheets n and the total volume of the stack of papers Vstack. OCEDURE

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LAB #1: MEASUREMENTS AND UNCERTAINTY (24.5+ 0.1) mm Nominal Uncertainty Units Value Figure 1.5: Engineering notation form of the measurement given in Figure 1.1. of Eq. 1.5 by 1 micron, and you have 10-6 m 1 μm (1.6) Since any number can be multiplied by 1 without changing the number, you are free to apply a unit conversion at any point. Since we intended to convert microns to meters, we made sure that our conversion factor had microns in the denominator so that the units would cancel out properly. Q6: Convert the lengths 9.24 mm, 74.8 cm, and 0.29 km into the SI unit for length (meters). ▸Q7: Figure 1.2 shows a conversion from kg to English pounds. Convert the measurement to pounds, and give the updated uncertainty. PART 2: VOLUME OF PAPER = 1 PREPARATION In order to practice our knowledge of measurements and uncertainties, we will attempt to determine the volume of a single sheet of paper. The difficulty in measuring the volume of a single sheet of paper is that the thickness is much smaller than what can be measured by a standard ruler. We could instead use a stack of paper with a known number of sheets n, to get an average thickness of paper. ►Q8: Draw a sketch of the stack of papers (i.e. rectangular box) and label it with the length L, width W, and height H. Then write the equation that describe the volume of the stack of papers. ▸Q9: Write out the equation for the volume of a single sheet, Vaheet, of paper using the number of sheets n and the total volume of the stack of papers Vstack. PROCEDURE You will be completing three trials, each with a different amount of sheets of paper. Create a table similar to Table 1.3 in a spreadsheet application (such as Excel@ or Google Sheets®) for recording your measurements and displaying your measurements. Using either of these is more convenient for calculations than doing them by hand or a separate calculator. (1) Count out and record the number (n) of pages for this trial. Choose a number between 10 and 50 for the number of pages in a trial, with a difference of 10 or 20 pages for each trial. (2) Stack the sheets of paper as tightly and neatly as you can. (3) With a ruler, measure the length and width of the stack. Record these, and include an uncertainty estimate for each measurements. (4) Measure and record the height, and a corresponding uncertainty estimate. (5) Calculate the volume of the stack of papers Vstack using your measurements. (6) Use Vstack and the equation you derived to find the volume of a single sheet of paper Vsheet
Transcribed Image Text:LAB #1: MEASUREMENTS AND UNCERTAINTY (24.5+ 0.1) mm Nominal Uncertainty Units Value Figure 1.5: Engineering notation form of the measurement given in Figure 1.1. of Eq. 1.5 by 1 micron, and you have 10-6 m 1 μm (1.6) Since any number can be multiplied by 1 without changing the number, you are free to apply a unit conversion at any point. Since we intended to convert microns to meters, we made sure that our conversion factor had microns in the denominator so that the units would cancel out properly. Q6: Convert the lengths 9.24 mm, 74.8 cm, and 0.29 km into the SI unit for length (meters). ▸Q7: Figure 1.2 shows a conversion from kg to English pounds. Convert the measurement to pounds, and give the updated uncertainty. PART 2: VOLUME OF PAPER = 1 PREPARATION In order to practice our knowledge of measurements and uncertainties, we will attempt to determine the volume of a single sheet of paper. The difficulty in measuring the volume of a single sheet of paper is that the thickness is much smaller than what can be measured by a standard ruler. We could instead use a stack of paper with a known number of sheets n, to get an average thickness of paper. ►Q8: Draw a sketch of the stack of papers (i.e. rectangular box) and label it with the length L, width W, and height H. Then write the equation that describe the volume of the stack of papers. ▸Q9: Write out the equation for the volume of a single sheet, Vaheet, of paper using the number of sheets n and the total volume of the stack of papers Vstack. PROCEDURE You will be completing three trials, each with a different amount of sheets of paper. Create a table similar to Table 1.3 in a spreadsheet application (such as Excel@ or Google Sheets®) for recording your measurements and displaying your measurements. Using either of these is more convenient for calculations than doing them by hand or a separate calculator. (1) Count out and record the number (n) of pages for this trial. Choose a number between 10 and 50 for the number of pages in a trial, with a difference of 10 or 20 pages for each trial. (2) Stack the sheets of paper as tightly and neatly as you can. (3) With a ruler, measure the length and width of the stack. Record these, and include an uncertainty estimate for each measurements. (4) Measure and record the height, and a corresponding uncertainty estimate. (5) Calculate the volume of the stack of papers Vstack using your measurements. (6) Use Vstack and the equation you derived to find the volume of a single sheet of paper Vsheet
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