One mole of titanium (6 times 10 23 atoms) has a mass of 48 grams, and its densi

Question

One mole of titanium (6 times 10 23 atoms) has a mass of 48 grams, and its density is 4.54 grams per cubic centimeter. You have a long thin bar of titanium, 2.3 m long, with a square cross section, 0.07 cm on a side. You hang the rod vertically and attach a 30 kg mass to the bottom, and you observe that the bar becomes 1.15 cm longer. Calculate the effective stiffness of the interatomic bond, modeled as a "spring": ks = N/m Next you remove the 30 kg mass, place the rod horizontally, and strike one end with a hammer. How much time Delta t will elapse before a microphone at the other end of the bar will detect a disturbance? Delta t = s

Explanation / Answer

Ks = 25591.304 N/m, T = .019 sec

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