Physics for Scientists and Engineers with Modern Physics
10th Edition
ISBN: 9781337553292
Author: Raymond A. Serway, John W. Jewett
Publisher: Cengage Learning
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Chapter 18, Problem 17P
(a)
To determine
The tension in the wire.
(b)
To determine
The temperature that the wire reaches the elastic limit.
(c)
To determine
Whether the answer of part (a) and part (b) would change if Golden Gate Bridge were twice as long.
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The Golden Gate Bridge in San Francisco has a main span of length 1.28 km, one of the longest in the world. Imagine that a steel wire with this length and a cross-sectional area of 4.40 ✕ 10−6 m2 is laid on the bridge deck with its ends attached to the towers of the bridge, on a summer day when the temperature of the wire is 36.0°C.
(a) When winter arrives, the towers stay the same distance apart and the bridge deck keeps the same shape as its expansion joints open. When the temperature drops to −10.0°C, what is the tension in the wire? Take Young's modulus for steel to be 20.0 ✕ 1010 N/m2. (Assume the coefficient of thermal expansion of steel is
11 ✕ 10−6 (°C)−1.)
? N(b) Permanent deformation occurs if the stress in the steel exceeds its elastic limit of 3.00 ✕ 108 N/m2. At what temperature would the wire reach its elastic limit? ?°C(c) Explain how your answers to (a) and (b) would change if the Golden Gate Bridge were twice as long.
A thermal window, with an area of 6.0m ^ 2, is constructed of two layers of glass, each 4.0mm thick, separated from each other by a 5.0mm air gap. If the inner surface is at 20.0 ° C and the outer surface is at -5.0 ° C, what is the rate of energy transfer by conduction through the window? The thermal conductivity of glass is 0.8 W⁄ (m. ° C) and that of air is 0.023 W⁄ (m. ° C)
A rod made of glass has a circular cross section with a diameter of 0.1200 m at a temperature of 20 degrees celsius. An aluminum ring has a diameter of 0.1196 m at a temperature of 20 degrees celsius. The
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At what temperature will the aluminum ring be able to slip over the glass rod?
Between 225 and 250 degrees celsius
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Higher than 300 degrees celsius
Between 250 and 275 degrees celsius
Between 125 and 150 degrees celsius
Between 275 and 300 degrees celsius
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Chapter 18 Solutions
Physics for Scientists and Engineers with Modern Physics
Ch. 18.1 - Prob. 18.1QQCh. 18.3 - Consider the following pairs of materials. Which...Ch. 18.4 - If you are asked to make a very sensitive glass...Ch. 18.4 - Prob. 18.4QQCh. 18.5 - A common material for cushioning objects in...Ch. 18.5 - On a winter day, you turn on your furnace and the...Ch. 18 - Prob. 1PCh. 18 - Prob. 2PCh. 18 - Prob. 3PCh. 18 - Liquid nitrogen has a boiling point of 195.81C at...
Ch. 18 - Prob. 5PCh. 18 - Prob. 6PCh. 18 - A copper telephone wire has essentially no sag...Ch. 18 - Prob. 8PCh. 18 - The Trans-Alaska pipeline is 1 300 km long,...Ch. 18 - Prob. 10PCh. 18 - Prob. 11PCh. 18 - Prob. 12PCh. 18 - Prob. 13PCh. 18 - Why is the following situation impossible? A thin...Ch. 18 - A volumetric flask made of Pyrex is calibrated at...Ch. 18 - Review. On a day that the temperature is 20.0C, a...Ch. 18 - Prob. 17PCh. 18 - Prob. 18PCh. 18 - An auditorium has dimensions 10.0 m 20.0 m 30.0...Ch. 18 - Prob. 20PCh. 18 - Prob. 21PCh. 18 - Prob. 22PCh. 18 - In state-of-the-art vacuum systems, pressures as...Ch. 18 - Prob. 24PCh. 18 - Prob. 25PCh. 18 - Prob. 26PCh. 18 - Prob. 27PCh. 18 - Prob. 28PCh. 18 - The pressure gauge on a cylinder of gas registers...Ch. 18 - Prob. 30APCh. 18 - Prob. 31APCh. 18 - Why is the following situation impossible? An...Ch. 18 - A student measures the length of a brass rod with...Ch. 18 - Prob. 34APCh. 18 - A liquid has a density . (a) Show that the...Ch. 18 - Prob. 36APCh. 18 - Prob. 37APCh. 18 - A bimetallic strip of length L is made of two...Ch. 18 - Prob. 39APCh. 18 - A vertical cylinder of cross-sectional area A is...Ch. 18 - Prob. 41APCh. 18 - Prob. 42APCh. 18 - Prob. 43APCh. 18 - Prob. 44CPCh. 18 - A 1.00-km steel railroad rail is fastened securely...Ch. 18 - Prob. 46CP
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