A solid circular titanium control rod at 7,000 lb axial tension force, stress must not exceed 42,000 psi. Assume that the modulus of elasticity of the titanium is
16,500,000 psi and that the rod must elongate no more than 0.20 in.

A-mn has a cubic structure with a0 0.8931 nm and a density of 7.47 g/cm3. b-mn has a different cubic structure, with a0 0.6326 nm and a density of 7.26 g/cm3. the atomic weight of manganese is 54.938 g/mol and the atomic radius is 0.112 nm. determine the percent volume change that would occur if a-mn transforms to b-mn.