Essential University Physics (3rd Edition)
3rd Edition
ISBN: 9780134202709
Author: Richard Wolfson
Publisher: PEARSON
expand_more
expand_more
format_list_bulleted
Concept explainers
Textbook Question
Chapter 17, Problem 63P
A rod of length L0 is clamped rigidly at both ends. Its temperature increases by ΔT and in the ensuing expansion, it cracks to form two straight pieces, as shown in Fig. 17.11. Find an expression for the distance d shown in the figure, in terms of L0, ΔT and the linear expansion coefficient α.
FIGURE 17.11 Problem 63
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solutionStudents have asked these similar questions
Two concrete spans of a 220-m-long bridge are placed end to end so that no room is allowed for expansion (Figure a). If the temperature increases by 16.7°C,what is the height y to which the spans rise when they buckle (Figure b)? (The coefficient of linear expansion of concrete is 1.20 10-5°C−1.)
m
Suppose due to a bad break of your femur, you require the insertion of a titanium rod to help the fracture heal. The coefficient of linear expansion for titanium is α = 8.60 × 10−6 K−1, and the length of the rod when it is in equilibrium with the leg bone and muscle at 37.0°C is 6.50 cm. How much shorter was the rod at room temperature (20.0°C)?
An aluminum cup of 61 cm3 capacity is completely filled with glycerin at 22°C. How much glycerin will spill out of the cup if the temperature of both the cup and glycerin is increased to 41°C? (The linear expansion coefficient of aluminum is 23 × 10-6 1/C°. The coefficient of volume expansion of glycerin is 5.1 × 10-4 1/C°.)
Chapter 17 Solutions
Essential University Physics (3rd Edition)
Ch. 17.1 - If you double the kelvin temperature of a gas,...Ch. 17.2 - You bring a pot of water to boil and then forget...Ch. 17.3 - The figure shows a donut-shaped object. If its...Ch. 17 - Prob. 1FTDCh. 17 - According to the ideal-gas law, what should be the...Ch. 17 - Prob. 3FTDCh. 17 - The average speed of the molecules in a gas...Ch. 17 - Suppose you start running while holding a closed...Ch. 17 - Prob. 6FTDCh. 17 - Your roommate claims that ice and snow must be at...
Ch. 17 - Whats the temperature of water just under the ice...Ch. 17 - Ice and water have been together in a glass for a...Ch. 17 - Which takes more heat: melting a gram of ice...Ch. 17 - The atmospheres of relatively low-mass planets...Ch. 17 - The triple point of water defines a precise...Ch. 17 - How is it possible to have boiling water at a...Ch. 17 - How does a pressure cooker work?Ch. 17 - Suppose mercury and glass had the same coefficient...Ch. 17 - A bimetallic strip consists of thin pieces of...Ch. 17 - Marss atmospheric pressure is about 1% that of...Ch. 17 - Prob. 18ECh. 17 - Whats the pressure of an ideal gas if 3.5 mol...Ch. 17 - Prob. 20ECh. 17 - (a) If 2.0 mol of an ideal gas are initially at...Ch. 17 - A pressure of 1010 Pa is readily achievable with...Ch. 17 - Whats the thermal speed of hydrogen molecules at...Ch. 17 - In which gas are the molecules moving faster:...Ch. 17 - How much energy does it take to melt a 65-g ice...Ch. 17 - It takes 200 J to melt an 8.0-g sample of one of...Ch. 17 - If it takes 840 kJ to vaporize a sample of liquid...Ch. 17 - Carbon dioxide sublimes (changes from solid to...Ch. 17 - Find the energy needed to convert 28 kg of liquid...Ch. 17 - A copper wire is 20 m long on a winter day when...Ch. 17 - You have exactly 1 L of ethyl alcohol at room...Ch. 17 - A Pyrex glass marble is 1.00000 cm in diameter at...Ch. 17 - At 0C, the hole in a steel washer is 9.52 mm in...Ch. 17 - Suppose a single piece of welded steel railroad...Ch. 17 - Prob. 35PCh. 17 - Prob. 36PCh. 17 - A compressed air cylinder stands 100 cm tall and...Ch. 17 - Youre a lawyer with an unusual case. A...Ch. 17 - A 3000-mL flask is initially open in a room...Ch. 17 - The recommended treatment for frostbite is rapid...Ch. 17 - A stove burner supplies heat to a pan at the rate...Ch. 17 - If a 1-megaton nuclear bomb were exploded deep in...Ch. 17 - Youre winter camping and are melting snow for...Ch. 17 - Prob. 44PCh. 17 - A refrigerator extracts energy from its contents...Ch. 17 - Climatologists have recently recognized that black...Ch. 17 - Repeat Example 17.4 with an initial ice mass of 50...Ch. 17 - How much energy does it take to melt 10 kg of ice...Ch. 17 - Water is brought to its boiling point and then...Ch. 17 - Prob. 50PCh. 17 - Whats the minimum amount of ice in Example 17.4...Ch. 17 - A bowl contains 16 kg of punch (essentially water)...Ch. 17 - A 50-g ice cube at 10C is placed in an equal mass...Ch. 17 - Prob. 54PCh. 17 - What power is needed to melt 20 kg of ice in 6.0...Ch. 17 - You put 300 g of water at 20C into a 500-W...Ch. 17 - If 4.5 105 kg of emergency cooling water at 10C...Ch. 17 - Describe the composition and temperature of the...Ch. 17 - A glass marble 1.000 cm in diameter is to be...Ch. 17 - Prob. 60PCh. 17 - A steel ball bearing is encased in a Pyrex glass...Ch. 17 - Fuel systems of modern cars are designed so...Ch. 17 - A rod of length L0 is clamped rigidly at both...Ch. 17 - Prob. 64PCh. 17 - A solar-heated house stores energy in 5.0 tons of...Ch. 17 - Show that the coefficient of volume expansion of...Ch. 17 - Waters coefficient of volume expansion in the...Ch. 17 - When the expansion coefficient varies with...Ch. 17 - Ignoring air resistance, find the height from...Ch. 17 - The timekeeping of a grandfather clock is...Ch. 17 - Prob. 71PCh. 17 - Prob. 72PCh. 17 - Figure 17.12 shows an apparatus used to determine...Ch. 17 - Prob. 74PCh. 17 - (a) Show that, for an ideal gas, the speed of...Ch. 17 - The Maxwell-Boltzmann distribution, plotted in...Ch. 17 - At high gas densities, the van der Waals equation...Ch. 17 - Prob. 78PPCh. 17 - Prob. 79PPCh. 17 - Because some pathogens can survive 120C...Ch. 17 - Prob. 81PP
Additional Science Textbook Solutions
Find more solutions based on key concepts
Four hour long straight parallel wires located at the coiners of a square of side d carry equal currents I0 per...
Physics for Scientists and Engineers with Modern Physics
The specific heat capacity of Albertsons Rotini Tricolore is approximately 1.8J/gC. Suppose you toss 340 g of t...
An Introduction to Thermal Physics
67. In the spectrometer shown in Figure P24.67, do the ions have positive or negative charge?
A. Positive
B. Ne...
College Physics: A Strategic Approach (4th Edition)
Charge q1 is located at x = 1 m, y = 0. What should you use for the unit vector r in Coulombs law if you're cal...
Essential University Physics: Volume 2 (3rd Edition)
78. The maximum voltage at the center of a typical tandem electrostatic accelerator is 6.0 MV. If the distance ...
College Physics (10th Edition)
47. What does the P-wave shadow tell us about Earth's composition?
Conceptual Physical Science (6th Edition)
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
- Two 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_forwardThe 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_forwardA building made with a steel structure is 650 m high on a winter day when the temperature is 18°C. How much taller in cm is the building when the temperature is 73°C? (The linear expansion coefficient of steel is 11 x 10- 6/oC.)arrow_forward
- Train tracks are composed of 10 m segments of steel rails. If the temperature outside is 30°C on average, and the temperature in the factory that produces the rails is 20°C, what length must the steel rails be produced at so that the fit perfectly end-to-end when laid outside? The linear expansion coefficient of steel is 1.2 x 10-5 K-1.arrow_forwardA 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 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.) _________________°Carrow_forward
- A 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_forwardA brass ring has an inner diameter exactly 4.000 cm and outer diameter exactly 4.050 cm at 20⁰C. It is to be fitted over an Aluminum rod of diameter exactly 4.004 cm. To what temperature must the aluminum rod be cooled down to, so that the ring just fits over it? Thermal expansion coefficients: Aluminum = 24.0 x 10-6 /ºC: Brass = 19.0 x 10-6 /ºC. details explanation, pleasearrow_forwardA 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_forward
- A brass cube, 10 cm on a side, is raised in temperature by 200°C. The coefficient of volume expansion of brass is 57.10-6/C°. By what percentage is any one of the 10-cm edges increased in length? (a) 4% (b) 2.8% (c) 0.38% (d) 0.29%arrow_forwardConsider liquid water at 1 atm. At 25◦C, the density of water is 0.997044 g cm−3 . The coefficient of thermal expansion, α, is well fitted by α = e + ft + gt2 where t is in celsius and e = −1.00871 × 10-5 K−1 , f = 1.20561 × 10-5 C −1 K−1 , and g = −5.4150 ×10-8 C−2 K−1 . What is the density of the water at 38◦Carrow_forwardYou want to insert an aluminum rod, which at 20.0°C has a radius of1.000200 cm into a steel tube which has a radius of 1.000100 cm at the same temperature. You decide to put both of them in the refrigerator. At what temperature will the rod just fit if both are cooled to the same temperature? The coefficient of thermal expansion for aluminum is 2.4 × 10^-5 K^-1, and that of steel is1.2 × 10^-5 K^-1.arrow_forward
arrow_back_ios
arrow_forward_ios
Recommended textbooks for you
- Principles 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
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
Heat Transfer: Crash Course Engineering #14; Author: CrashCourse;https://www.youtube.com/watch?v=YK7G6l_K6sA;License: Standard YouTube License, CC-BY