College Physics
10th Edition
ISBN: 9781285737027
Author: Raymond A. Serway, Chris Vuille
Publisher: Cengage Learning
expand_more
expand_more
format_list_bulleted
Concept explainers
Textbook Question
Chapter 10, Problem 62AP
A 250-m-long bridge is improperly designed so that it cannot expand with temperature. It is made of concrete with α = 12 × 10−6 (°C)−1. (a) Assuming the maximum change in temperature at the site is expected to be 20°C, find the change in length the span would undergo if it were free to expand. (b) Show that the stress on an object with Young’s modulus Y when raised by ΔT with its ends Firmly fixed is given by a αY ΔT. (c) If the maximum stress the bridge can withstand without crumbling is 2.0 × 107 Pa, will it crumble because of this temperature increase? Young’s modulus for concrete is about 2.0 × 1010 Pa.
Expert Solution & Answer
Trending nowThis is a popular solution!
Students have asked these similar questions
In an ultrahigh vacuum system (with typical pressures lower than 10-7 pascal), the pressure is measured to be 1.00 x 10-10 torr (where 1 torr = 133 Pa). Assuming the temperature is 310 K, find the number of molecules in a volume of 1.00 m3.
In a given railroad of the Philippine National Railways that runs from Caloocan City to Legaspi City, what minimum gap must be placed between two steel railroad rails each 15.0 m long when laid at 32 degrees Celsius and the maximum temperature is 42.5 degrees Celsius?
The brass scale of a mercury barometer gives the correct length of the mercury column at 0°C. IF the barometer reads 740mm at 25°C, which is the reading when corrected for expansion of brass scale and for the expansion of the mercury (which decreases its density).
(include FBD)
Chapter 10 Solutions
College Physics
Ch. 10.1 - Prob. 10.1QQCh. 10.3 - If you quickly plunge a room-temperature mercury...Ch. 10.3 - If you are asked to make a very sensitive glass...Ch. 10.3 - Two spheres are made of the same metal and have...Ch. 10.3 - Prob. 10.5QQCh. 10.5 - Prob. 10.6QQCh. 10 - Prob. 1WUECh. 10 - Prob. 2WUECh. 10 - Prob. 3WUECh. 10 - An electrician is wiring new electrical outlets in...
Ch. 10 - Prob. 5WUECh. 10 - A cylinder of volume 50.0 cm3 made of Pyrex glass...Ch. 10 - One way to cool a gas is to let it expand. When a...Ch. 10 - A container holds 0.500 m3 of oxygen at an...Ch. 10 - Suppose 26.0 g of neon gas are stored in a tank at...Ch. 10 - Prob. 10WUECh. 10 - (a) Why does an ordinary glass dish usually break...Ch. 10 - Some thermometers are made of a mercury column in...Ch. 10 - Prob. 4CQCh. 10 - Objects deep beneath the surface of the ocean are...Ch. 10 - Why do vapor bubbles in a pot of boiling water get...Ch. 10 - Markings to indicate length are placed on a steel...Ch. 10 - Metal lids on glass jars can often be loosened by...Ch. 10 - Suppose the volume of an ideal gas is doubled...Ch. 10 - An automobile radiator is filled to the brim with...Ch. 10 - When the metal ring and metal sphere in Figure...Ch. 10 - Prob. 1PCh. 10 - The pressure in a constant-volume gas thermometer...Ch. 10 - Prob. 3PCh. 10 - Death Valley holds the record for the highest...Ch. 10 - Show that the temperature 40 is unique in that it...Ch. 10 - Prob. 6PCh. 10 - Show that if the temperature on the Celsius scale...Ch. 10 - The temperature difference between the inside and...Ch. 10 - Prob. 9PCh. 10 - Prob. 10PCh. 10 - Prob. 11PCh. 10 - A grandfather clock is controlled by a swinging...Ch. 10 - A pair of eyeglass frames are made of epoxy...Ch. 10 - A spherical steel ball bearing has a diameter of...Ch. 10 - A brass ring of diameter 10.00 cm at 20.0C is...Ch. 10 - Prob. 16PCh. 10 - Lead has a density of 11.3 103 kg/m3 at 0C. (a)...Ch. 10 - The Golden Gate Bridge in San Francisco has a main...Ch. 10 - An underground gasoline tank can hold 1.00 103...Ch. 10 - Show that the coefficient of volume expansion, ,...Ch. 10 - A hollow aluminum cylinder 20.0 cm deep has an...Ch. 10 - A construction worker uses a steel tape to measure...Ch. 10 - The hand in Figure P10.23 is stainless steel...Ch. 10 - The Trans-Alaskan pipeline is 1 300 km long,...Ch. 10 - The average coefficient of volume expansion for...Ch. 10 - The density or gasoline is 7.30 102 kg/m3 at 0C....Ch. 10 - Figure P10.27 shows a circular steel casting with...Ch. 10 - The concrete sections of a certain superhighway...Ch. 10 - Prob. 29PCh. 10 - A 20.0-L tank of carbon dioxide gas (CO2) is at a...Ch. 10 - (a) An ideal gas occupies a volume of 1.0 cm3 at...Ch. 10 - An automobile tire is inflated with air originally...Ch. 10 - Prob. 33PCh. 10 - Gas is contained in an 8.00-L vessel at a...Ch. 10 - Prob. 35PCh. 10 - The density of helium gas at 0C is 0 = 0.179...Ch. 10 - An air bubble has a volume of 1.50 cm3 when it is...Ch. 10 - The ideal gas law can be recast in terms of the...Ch. 10 - What is the average kinetic energy of a molecule...Ch. 10 - A sealed cubical container 20.0 cm on a side...Ch. 10 - Prob. 41PCh. 10 - Prob. 42PCh. 10 - Prob. 43PCh. 10 - A 7.00-L vessel contains 3.50 moles of ideal gas...Ch. 10 - Prob. 45PCh. 10 - Prob. 46PCh. 10 - Inside the wall of a house, an L-shaped section of...Ch. 10 - The active element of a certain laser is made of a...Ch. 10 - A popular brand of cola contains 6.50 g of carbon...Ch. 10 - Prob. 50APCh. 10 - Prob. 51APCh. 10 - A 1.5-m-long glass tube that is closed at one end...Ch. 10 - Prob. 53APCh. 10 - A vertical cylinder of cross-sectional area A is...Ch. 10 - Prob. 55APCh. 10 - Prob. 56APCh. 10 - A liquid with a coefficient of volume expansion of...Ch. 10 - Before beginning a long trip on a hot day, a...Ch. 10 - Two concrete spans of a 250-m-long bridge are...Ch. 10 - An expandable cylinder has its top connected to a...Ch. 10 - A bimetallic strip of length L is made of two...Ch. 10 - A 250-m-long bridge is improperly designed so that...Ch. 10 - Prob. 63APCh. 10 - Two small containers, each with a volume of 1.00 ...
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.Similar questions
- The average coefficient of linear expansion of copper is 17 106 (C)1. The Statue of Liberty is 93 in tall on a summer morning when the temperature is 25C. Assume the copper plates covering the statue are mounted edge to edge without expansion joints and do not buckle or bind on the framework supporting them as the day grows hot. What is the order of magnitude of the statues increase in height? (a) 0.1 mm (b) 1 mm (c) 1 cm (d) 10 cm (e) 1 marrow_forwardThe coefficient of linear expansion of a certain steel is 0.000012 per CO. Thecoefficient of volume expansion, in (CO)-1, isA. (0.000012)3B. (4π/3)(0.000012)3C. 3 x 0.000012D. 0.000012arrow_forwardA plastic bar ACB having two different solid circular sections is held between rigid supports as shown in the figure. The diameters in the left- and right-hand parts are 50 mm and 75 mm, respectively. The corresponding lengths are 230 mm and 320 mm. The modulus of elasticity E is 6 GPa & the coefficient of thermal expansion α is 10-4 /0C. The bar is subjected to uniform temperature increase of 300C. Determine: i. maximum compressive stress in the bar. ii. displacement of point C.arrow_forward
- A motor car tyre has a pressure of 2 atmospheres at the room temperature of 27 degree C . If the tyre suddenly bursts, find the resulting temperature (y=1.4).arrow_forwardA brass rod of length 50 cm and diameter 3.0 mm is joined to a steel rod of the same length and diameter. What is the change in length of the combined rod at 250 °C, if the original lengths are at 40.0 °C? Is there a ‘thermal stress’ developed at the junction ? The ends of the rod are free to expand (Co-efficient of linear expansion of brass = 2.0×10-5 K-1 steel =1.2×10-5 K-1arrow_forwardConsider a 55-cm-long journal bearing that is lubricated with oil whose viscosity is 0.1 kg/m?s at 20°C at the beginning of operation and 0.008 kg/m?s at the anticipated steady operating temperature of 80°C. The diameter of the shaft is 8 cm, and the average gap between the shaft and the journal is 0.08 cm. Determine the torque needed to overcome the bearing friction initially and during steady operation when the shaft is rotated at 1500 rpm.arrow_forward
- A bridge has a span of 556.7 feet and, like many modern structures, it is made of concrete reinforced with steel rebar. This combination is popular because it is strong, inexpensive and easy to construct, and, most importantly, because steel and concrete have very similar coefficients of linear expansion, about 1.1×10−5 ( ◦C)−1 . The llocations highest recorded temperature is 38.3◦C. Its lowest recorded temperature is -23.3◦C 1 (a) How much will the length of the bridge change between the highest and lowest temperatures? (b) The bridge is not a single piece of concrete, but rather is made of many slabs supported by a steel structure. Why do you think that is? (c) If steel had a very different coefficient of thermal expansion compared to concrete, what do you think would happen to steel-reinforced concrete over the course of a year?arrow_forwardThe outer diameter of a glass jar and the inner diameter of its iron lid are both 760 mmmm at room temperature (20.0 ∘C). What will be the size of the mismatch between the lid and the jar if the lid is briefly held under hot water until its temperature rises to 62.5 ∘C, without changing the temperature of the glass? Use the coefficient of linear expansion for iron α= 1.2×10^−5 K^−1. Express answer in millimeters.arrow_forwardSteel expands 1 part in 100,000 for each 1 degree C increase in temperature. If the 1.5 km main span of a steel suspension bridge had no expansion joints, how much longer would it be for a temperature increase of 30 deg C. (Hint use the formula L = alpha x L(initial) x delta T, where alpha is the coefficient of linear expansion = (10^-5/ deg C)arrow_forward
- How long does it take the Sun to melt a block of ice at 0∘C∘C with a flat horizontal area 1.0 m2m2 and thickness 1.5 cmcm ? Assume that the Sun's rays make an angle of 41 ∘∘ with the vertical and that the emissivity of ice is 0.050.arrow_forwardA bicycle tire has a pressure of 7.00 X 105 N/m2 at a temperature of 18.0oC and contains 2.00 L of gas. What will its pressure be if you let out an amount of air that has a volume of 100 cm3 at atmospheric pressure? Assume tire temperature and volume remain constant.arrow_forwardConsider a steel girder, such as the kind that forms the skeleton of a skyscraper, at a temperature of 30.7 ∘C. To what temperature must the girder be cooled for it to contract by 0.109% of its initial length? The coefficient of linear expansion of steel is 1.20×10−5 (∘C)−1.arrow_forward
arrow_back_ios
arrow_forward_ios
Recommended textbooks for you
- Physics for Scientists and Engineers: Foundations...PhysicsISBN:9781133939146Author:Katz, Debora M.Publisher:Cengage LearningPrinciples of Physics: A Calculus-Based TextPhysicsISBN:9781133104261Author:Raymond A. Serway, John W. JewettPublisher:Cengage LearningPhysics for Scientists and Engineers, Technology ...PhysicsISBN:9781305116399Author:Raymond A. Serway, John W. JewettPublisher:Cengage Learning
Physics for Scientists and Engineers: Foundations...
Physics
ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Cengage Learning
Principles of Physics: A Calculus-Based Text
Physics
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Cengage Learning
Physics for Scientists and Engineers, Technology ...
Physics
ISBN:9781305116399
Author:Raymond A. Serway, John W. Jewett
Publisher:Cengage Learning
Kinetic Molecular Theory and its Postulates; Author: Professor Dave Explains;https://www.youtube.com/watch?v=o3f_VJ87Df0;License: Standard YouTube License, CC-BY