Refer to Exercise 14. A cable is composed of 16 wires. The strength of each wire is 5000 ± 20 lb.
a. Will the estimated strength of the cable be the same under the ductile wire method as under the brittle wire method?
b. Will the uncertainty in the estimated strength of the cable be the same under the ductile wire method as under the brittle wire method? Explain why or why not.
(a) Yes, since the strengths of the wires are all estimated to be the same, the sum of the strengths is the same as the strength
of one of them multiplied by the number of wires. Therefore the estimated strength is 80,000 pounds in both cases.
(b) No, for the ductile wire method the squares of the uncertainties of the 16 wires are added, to obtain 
.
For the brittle wire method, the uncertainty in the strength of the weakest wire is multiplied by the number of wires, to
obtain ?= 16 × 20 = 320.
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