Verify the three predictions (i.e., Equations 3.27, 3.40, and 6.67) for the Young's modulus of the glass microsphere-reinforced polyester composite in Figure 6.42 for the specific case of a particle volume fraction of 0.464 . The required input data are given in the text accompanying the discussion of Figure 6.42. Compare these results with the corresponding experimental value of the Young's modulus of \(1.01 \times 10^{6} \mathrm{psi}\) and discuss.

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E =E1V+Emm (3.27)