University of South Alabama Physics PH 201 PH 202 Laboratory Manual Preliminary

Question

University of South Alabama Physics PH 201 PH 202 Laboratory Manual Preliminary Assignment A cylinder has a height measured as (51o3to.01) mmand a mass of (18.2t0.1) g The diameter is measured ten times: Trial Diameter Trial Diameter 0.01 mm 01 11.97 6 12.39 1 2 12.65 7 12.68 12.39. 12.68 4 12.38 9 12.08 5 12.47 10 12.47 A) Calculate the average diameter and its uncertainty. B) Determine the density of the cylinder and the uncertainty of the density. C) Compare the density determined in part B) with the densities listed in Table 2.3-1 and identify this substance.

Explanation / Answer

diameter D = (11.97 + 12.65 + 12.68 + 12.38 + 12.47 + 12.39 + 12.68 + 12.39 + 12.08 + 12.47)/10 = 12.42 +/ 0.01 mm

mass m = 18.2 +/0.1

height h = 51.03 +/ 0.01 mm

volume V = pi*D^2/4*h

Density d = m/V = m*4/(pi*D^2*h)

d = (18.2*4)/(3.14*12.42^2*51.03) = 2.9*10^-3

relative uncertainity = 0.01/51.03 + 0.1/18.2 + 2(0.01/12.42) = 0.73 %

ncertainity = 2.1*10^-5

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