Consider a cylindrical specimen of some hypothetical metal alloy that has a diameter of 8.0 mm (0.31in.). A tensile force of 1000N (225 \(lb_{f}\)) produces an elastic reduction in diameter of \(2.8 x 10^{-4}\) mm (\(1.10 x 10^{-5}\) in.). Compute the modulus of elasticity for this alloy, given that Poisson's ratio is 0.30.