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Consider a 40,000-km steel pipe that forms a ring to fit

ISBN: 9780321909107 29

Solution for problem 4P Chapter 15

Conceptual Physics | 12th Edition

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Problem 4P

Consider a 40,000-km steel pipe that forms a ring to fit snugly all around the circumference of the Earth. Suppose people along its length breathe on it so as to raise its temperature 1°C. The pipe gets longer. It also is no longer snug. How high does it stand above ground level? (To simplify, consider only the expansion of its radial distance from the center of Earth, and apply the geometry formula that relates circumference ?C? and radius ?r,? ?C? = 2??r?. The result is surprising!)

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Solution: -6 For steel, = 11 × 10 /°C. Remember that L = L T. -6 L = 40,000 km × 11×10 /°C × 1°C = 0.44 km = 440 meters Lfinal40,000,000 m + 440 m = 40,000,440 m C = 2r Take r on the right hand side so we get as, rinitial0,000 km ÷ 2 The value...

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Consider a 40,000-km steel pipe that forms a ring to fit

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