1. Significant Figures (a) Express the numbers listed in Data Table 1 to three s
ID: 1291090 • Letter: 1
Question
1. Significant Figures (a) Express the numbers listed in Data Table 1 to three significant figures, writing the numbers in the first column in normal notation and the numbers in the second column in powers of 10 (scientific) notation. (b) A rectangular block of wood is measured to have the dimensions of 11.2 cm x 3.4 cm x 4.10 cm. Compute the volume of the block, showing explicitly (by underlining) how doubtful figures are carried through the calculation, and report the final answer with the correct number of significant figures. (c) In an experiment to determine the value of pi, a cylinder is measured to have an average value of 4.25 cm for its diameter and an average value of 13.39 cm for its circumference. What is the experimental value of pi to the correct number of significant figures? Expressing Experimental Error (a) If the accepted value of pi is 3.1416, what is the percent error of the experimental value found in 1(c)? (b) In an experiment to measure the acceleration g due to gravity, two values, 9.96 m/s^2 and 9.72 m/s^2, are determined. Find (1) the percent difference of the measurements, (2) the percent error of each measurement and (3) the percent error of their average. (Accepted value of g = 9.80 m/s^2)Explanation / Answer
0.524 = 3 and 5.24 * 10^-1
15.09 = 4 and 1.509 * 10^1
1444 = 4 and 1.444 * 10^3
0.0254 = 3 and 2.54 * 10^-2
83.909 = 5 and 8.3909 * 10^1
5280 = 5.280 * 10^3
0.080 = 8.0 * 10^-2
82.453 = 8.2453 *10^1
0.00010 = 1.0 * 10^-4
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