Anew composite material is being developed for an advanced aerospace structure. the material's density is to be determined from the mass of a cylindrical specimen. the volume of the specimen is determined from diameter and length measurements. it is estimated that the mass, m, can be determined to be within 0.1 lbm using an available balance scale; length, l, to within 0.05 in. and diameter, d, to within 0.0005 in. (a) estimate the design stage uncertainty in the determination of the density. (b) which parameter’s measurement would contribute most to the uncertainty in the density? use nominal values of m = 4.5 lbm, l = 6 in., and d = 4 in. hint: for cylindrical component, the volume v = πd^2l/4 , therefore the density rho = m/v = 4m/ πd^3l . úse the error propagation rule to determine the design stage uncertainty.