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 37AP
(a)
To determine
To show: The increase in area is given by
(b)
To determine
The approximation which is assumed in the expression.
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The rectangular plate as shown has an area Ai equal to ℓw. If the temperature increases by ΔT, each dimension increases according to as shown, where α is the average coefficient of linear expansion. (a) Show that the increase in area is ΔA = 2αAi ΔT. (b) What approximation does this expression assume?
A steel rod 30.0 m long, installed when the temperature was 10°C, is in a bridge that heats up to 40oC on a hot summer day. Steel's coefficient of linear expansion is 1.2 × 10-5 K-1. The bridge is built so the rod has an expansion space of 5 cm. Is this enough space? What is the increase in the length of the rod, in mm?
A circular hole in an aluminum plate is 2.386 cm in diameter at 0.000°C. What is its diameter when the temperature of the plate is raised to 75.50°C? The
linear expansion coefficient of aluminum is 23.00 x 10-6 /C°.
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Use correct number of significant digits; the tolerance is +/-2%
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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