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Physics For Scientists & Engineers
Found in: Page 382
Physics For Scientists & Engineers

Physics For Scientists & Engineers

Book edition 9th Edition
Author(s) Raymond A. Serway, John W. Jewett
Pages 1624 pages
ISBN 9781133947271

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Short Answer

A steel wire of diameter 1 mm can support a tension of 0.2 kN. A steel cable to support a tension of 20 kN should have diameter of what order of magnitude?

As a result, the cable's diameter is =1 mm100

~1 cm

See the step by step solution

Step by Step Solution

TABLE OF CONTENTS :
TABLE OF CONTENTS

Step 1:

The diameter of the steel wire is 1mm in this case. =10−3 m

F1=0.2kN is the tension force.=0.2×103 N

The cable has a tension force of F2=20kN.

Because all of the wires are bundled together, they can withstand almost identical stress.

As a result, the number of wires =20kN0.2 N

The cable's cross-sectional area is equal to the difference of the cable's diameter.

As a result, the cable's diameter is =1 mm100 ~1 cm

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