Bundle: Physics For Scientists And Engineers With Modern Physics, Loose-leaf Version, 10th + Webassign Printed Access Card For Serway/jewett's Physics For Scientists And Engineers, 10th, Single-term
10th Edition
ISBN: 9781337888585
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.
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
4.00 x 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 35.0°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 x 101⁰ N/m². (b) Permanent deformation
occurs if the stress in the steel exceeds its elastic limit of 3.00 x 108 N/m². At what
temperature would the wire reach its elastic limit? (c) Explain how your answers to (a) and (b)
would change if the Golden Gate Bridge were twice as long.
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
3.30 x 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 40.0°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 x 1010 N/m². (Assume the coefficient of thermal expansion of steel is 11 × 10–6 (°C)-1.)
(b) Permanent deformation occurs if the stress in the steel exceeds its elastic limit of 3.00 x 10 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.
Chapter 18 Solutions
Bundle: Physics For Scientists And Engineers With Modern Physics, Loose-leaf Version, 10th + Webassign Printed Access Card For Serway/jewett's Physics For Scientists And Engineers, 10th, Single-term
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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