A group of students wish to determine the density of a cylinder to be used in a de-sign project. They plan to determine the density from measurements of the cylindersmass, length, and diameter, which have instrument resolutions of 0.1 lbm, 0.05 in., and0.0005 in., respectively. The balance used to measure the weight has an instrument uncertainty (accuracy) of 1 %. The rulers used to measure the length and diameterpresent negligible instrument uncertainties. Nominal values of the mass, length, anddiameter are 4.5 lbm, 6.00 in., and 4.0000 in., respectively.
(a) Estimate the zero-order uncertainty in the determination of the density.
(b) Which measurement contributesthe most to this uncertainty?
(c) Estimate the design-stage uncertainty in the deter mination of the density.