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.