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A cable is made up of several parallel strands of wire.
Chapter 3, Problem 14SE(choose chapter or problem)
A cable is made up of several parallel strands of wire. The strength of the cable can be estimated from the strengths of the individual wires by either of two methods. In the ductile wire method, the strength of the cable is estimated to be the sum of the strengths of the wires. In the brittle wire method, the strength of the cable is estimated to be the strength of the weakest wire multiplied by the number of wires. A particular cable is composed of 12 wires. Four of them have strength \(6000 \pm 20\) lb, four have strength \(5700 \pm 30\) lb, and four have strength \(6200 \pm 40\) lb.
a. Estimate the strength of the cable, and find the uncertainty in the estimate, using the ductile wire method.
b. Estimate the strength of the cable, and find the uncertainty in the estimate, using the brittle wire method.
Equation Transcription:
Text Transcription:
6000 pm 20
5700 pm 30
6200 pm 40
Questions & Answers
QUESTION:
A cable is made up of several parallel strands of wire. The strength of the cable can be estimated from the strengths of the individual wires by either of two methods. In the ductile wire method, the strength of the cable is estimated to be the sum of the strengths of the wires. In the brittle wire method, the strength of the cable is estimated to be the strength of the weakest wire multiplied by the number of wires. A particular cable is composed of 12 wires. Four of them have strength \(6000 \pm 20\) lb, four have strength \(5700 \pm 30\) lb, and four have strength \(6200 \pm 40\) lb.
a. Estimate the strength of the cable, and find the uncertainty in the estimate, using the ductile wire method.
b. Estimate the strength of the cable, and find the uncertainty in the estimate, using the brittle wire method.
Equation Transcription:
Text Transcription:
6000 pm 20
5700 pm 30
6200 pm 40
ANSWER:Answer :
Step 1 of 3 :
Given,
The cable is made up of several parallel strands of wir. The particular cable is composed of 12 wires. Four of them have 6000 20lb. Four have strength 5700
30 lb, and another four have strength 6200
40 lb.
The goal of the problem is
- Find the strength of the cable, and uncertainty in the estimate, using the ductile wire method.
- Find the strength of the cable, and uncertainty in the estimate, using the brittle wire method