Schaum's Outline of College Physics, Twelfth Edition (Schaum's Outlines)
12th Edition
ISBN: 9781259587399
Author: Eugene Hecht
Publisher: McGraw-Hill Education
expand_more
expand_more
format_list_bulleted
Concept explainers
Videos
Textbook Question
Chapter 15, Problem 26SP
(a) An aluminum measuring rod, which is correct at 5.0 °C, measures a certain distance as 88.42 cm at 35.0 °C. Determine the error in measuring the distance due to the expansion of the rod. (b) If this aluminum rod measures a length of steel as 88.42 cm at 35.0 °C, what is the correct length of the steel at 35 °C? The coefficient of linear expansion of that sample of aluminum is
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
The 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.
The tube in a heat exchanger has a 2-in inner diameter and a 3-in outer diameter. The thermal conductivity of the tube material is 0.5 Btu/h·ft·°F, while the inner surface heat transfer coefficient is 50 Btu/h·ft2·°F and the outer surface heat transfer coefficient is 10 Btu/h·ft2·°F. Determine the overall heat transfer coefficients based on the outer and inner surfaces.
A steel ring with a hole having area of 7.970 cm2 is to be placed on an aluminum rod with cross-sectional area of 8.000 cm2. Both rod and ring are initially at a temperature of 25.0°C. At what common temperature can the steel ring be slipped onto one end of the aluminum rod? (The coefficient of linear expansion of steel is11 ✕ 10−6 (°C)−1, and the coefficient of linear expansion of aluminum is 24 ✕ 10−6 (°C)−1.)
_________________°C
Chapter 15 Solutions
Schaum's Outline of College Physics, Twelfth Edition (Schaum's Outlines)
Ch. 15 - Prob. 13SPCh. 15 - 14. Water boils at 212 °F. Use the equation you...Ch. 15 - 15. Aluminum melts at 660 °C. How much is that in...Ch. 15 - 16. Dry ice freezes at a temperature of −109.3 °F....Ch. 15 - 17. Lead melts at 621 °F. What temperature is that...Ch. 15 - 18. A gold wire 20 m long has its temperature...Ch. 15 - 19. A Pyrex glass rod 200.0 cm long has its...Ch. 15 - 20. A stainless steel wire is 150 cm long at 20.0...Ch. 15 - 21. Compute the increase in length of 50 m of...Ch. 15 - 22. A rod 3.0 m long is found to have expanded...
Ch. 15 - 23. At 15.0 °C, a bare wheel has a diameter of...Ch. 15 - 24. An ordinary glass sphere has a volume of 2000...Ch. 15 - 15.25 [II] An iron ball has a diameter of 6 cm and...Ch. 15 - 15.26 [II] (a) An aluminum measuring rod, which is...Ch. 15 - 15.27 [II] A solid sphere of mass m and radius b...Ch. 15 - 28. Calculate the increase in volume of 100 cm3 of...Ch. 15 - 15.29 [II] If a glass specific gravity bottle...Ch. 15 - Prob. 30SPCh. 15 - 15.31 [II] A glass vessel is filled with exactly 1...Ch. 15 - 15.32 [II] The density of a particular sample of...
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 rectangular plate shown in Figure P16.60 has an area Ai equal to w. If the temperature increases by T, each dimension increases according to Equation 16.4, where is the average coefficient of linear expansion. (a) Show that the increase in area is A = 2Ai T. (b) What approximation does this expression assume?arrow_forwardTwo concrete spans that form a bridge of length L are placed end to end so that no room is allowed for expansion (Fig. P16.63a). If a temperature increase of T occurs, what is the height y to which the spans rise when they buckle (Fig. P16.63b)?arrow_forward
- A sample of a solid substance has a mass m and a density 0 at a temperature T0. (a) Find the density of the substance if its temperature is increased by an amount T in terms of the coefficient of volume expansion b. (b) What is the mass of the sample if the temperature is raised by an amount T?arrow_forwardThe height of the Washington Monument is measured to be 170.00 m on a day when the temperature is 35.0 . What will its height be on a day when the temperature falls to -10.0 ? Although the monument is made of limestone, assume that its coefficient of thermal expansion is the same as that of marble. Give your answer to five significant figures.arrow_forwardA brass ring of diameter 10.00 cm at 22.3°C is heated and slipped over an aluminum rod of diameter 10.01 cm at 22.3°C. Assume the average coefficients of linear expansion are constant. (a) To what temperature must the combination be cooled to separate the two metals? ?°CIs that temperature attainable? Yes or No (b) What if the aluminum rod were 10.05 cm in diameter? ?°CIs that temperature attainable? Yes or Noarrow_forward
- A surveyor uses a steel measuring tape that is exactly 50.000 m long at a temperature of 20°C. The markings on the tape are calibrated for this temperature. When it is 35°C, the surveyor uses the tape to measure a distance. The value that she reads off the tape is 35.794 m. What is the actual distance? The coefficient of linear expansion of the glass is 1.20 x 10-5 K-1 A. 35.8 m B. 30.8 m C. 39.8 m D. 38.5 marrow_forwardA rectangular window in a home has a length of 1.5 m and a height of 0.80 m. If the window allows heat to escape from the home at a rate of 2,000 watts, how thick must the window be if the inside temperature of the home is 220 C and the outside temperature is 3.00C? (Assume that the coefficient of thermal conduction of glass is 0.80 W/mK.) a. 7.1 mm b. 124 mm c. 9.1 mm d. 8.1 mm e. 11 mmarrow_forwardAn aluminum wire is wrapped in rubber insulation. Both are subject to thermal expansion, with the following coefficients of linear expansion: alphaa=24· 10−6 1/C and alphar=8· 10−5 1/C . If the wire and insulation are the same length of 1.85m at a temperature of20.00°C, what is the difference in length (in MILLIMETERS) between the copper wire and the rubber insulation when heated up to a temperature of 189.00°C? Express a magnitude only (no negatives!). ______mm (MILLIMETERS!)arrow_forward
- A steel ring with a hole having area of 8.980 cm2 is to be placed on an aluminum rod with cross-sectional area of 9.000 cm2. Both rod and ring are initially at a temperature of 24.0°C. At what common temperature can the steel ring be slipped onto one end of the aluminum rod? (The coefficient of linear expansion of steel is 11 ✕ 10−6 (°C)−1, and the coefficient of linear expansion of aluminum is 24 ✕ 10−6 (°C)−1.)arrow_forwardpicture window has dimensions of 1.65 m by 2.2 m and is made of glass 7.5 mm thick. On a winter day, the outside temperature is 24° C while the inside temperature is a comfortable at 17.5° C. (k of glass =0.145W/m.K) ((a*1.5)+(b*1.5)+(c*2.0) Calculate the following:a) the area of the window in square metres b) the temperature gradient (ΔT/Δx)in kelvin/metre c) the rate of heat lost through the window by conduction in watts/metre.kelvinarrow_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
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
Principles of Physics: A Calculus-Based TextPhysicsISBN:9781133104261Author:Raymond A. Serway, John W. JewettPublisher:Cengage Learning
Physics for Scientists and Engineers: Foundations...PhysicsISBN:9781133939146Author:Katz, Debora M.Publisher:Cengage Learning
Physics for Scientists and Engineers, Technology ...PhysicsISBN:9781305116399Author:Raymond A. Serway, John W. JewettPublisher: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: Foundations...
Physics
ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Cengage Learning
Physics for Scientists and Engineers, Technology ...
Physics
ISBN:9781305116399
Author:Raymond A. Serway, John W. Jewett
Publisher:Cengage Learning
Heat Transfer: Crash Course Engineering #14; Author: CrashCourse;https://www.youtube.com/watch?v=YK7G6l_K6sA;License: Standard YouTube License, CC-BY