Principles of Physics: A Calculus-Based Text
Principles of Physics: A Calculus-Based Text
5th Edition
ISBN: 9781133104261
Author: Raymond A. Serway, John W. Jewett
Publisher: Cengage Learning
bartleby

Videos

Question
Book Icon
Chapter 16, Problem 58P

(a)

To determine

An expression for the angle of bending for the metal strip.

(b)

To determine

Show that the angle of bending decreases to zero when ΔT decreases to zero and also when the two average coefficients of expansion become equal.

(c)

To determine

The result happens when the strip is cooled.

Blurred answer
Students have asked these similar questions
A student cramming for their final exam heats up 0.500 L of cold coffee in a Pyrex carafe. The carafe is filled to the brim with the coffee and both are initially at 20.0°. Once the temperature of both the coffee and the carafe have risen to 95.0°C, how much coffee has spilled out? Given that the carafe is an isotropic solid, and that the coefficient of linear thermal expansion for Pyrex is: 3.3 x 10-6 K-¹ and that the coefficient of volume thermal expansion for water (coffee) is 207 x 106 K-¹.
A bimetallic strip of length L is made of two ribbons of different metals bonded together. (a) First assume the strip is originally straight. As the strip is warmed, the metal with the greater average coefficient of expansion expands more than the other, forcing the strip into an arc, with the outer radius having a greater circumference (Fig. P10.61). Derive an expression for the angle of bending, u, as a function of the initial length of the strips, their average coefficients of linear expansion, the change in temperature, and the separation of the centers of the strips (Δr = r2 −r1). (b) Show that the angle of bending goes to zero when Δ T goes to zero and also when the two average coefficients of expansion become equal. (c) What happens if the strip is cooled?
The band in Figure P10.23 is stainless steel (coefficient of linear expansion  = 17.3 x 10-6 (°C)-1; Young’s modulus = 18 x 1010 N/m2). It is essentially circular with an initial mean radius of 5.0 mm, a height of 4.0 mm, and a thickness of 0.50 mm. If the band just fits snugly over the tooth when heated to a temperature of 80.0°C, what is the tension in the band when it cools to a temperature of 37°C?

Chapter 16 Solutions

Principles of Physics: A Calculus-Based Text

Ch. 16 - Prob. 5OQCh. 16 - Prob. 6OQCh. 16 - What would happen if the glass of a thermometer...Ch. 16 - Prob. 8OQCh. 16 - A gas is at 200 K. If we wish to double the rms...Ch. 16 - Prob. 10OQCh. 16 - Prob. 11OQCh. 16 - A rubber balloon is filled with 1 L of air at 1...Ch. 16 - Prob. 13OQCh. 16 - An ideal gas is contained in a vessel at 300 K....Ch. 16 - Prob. 15OQCh. 16 - Prob. 16OQCh. 16 - Prob. 17OQCh. 16 - A sample of gas with a thermometer immersed in the...Ch. 16 - Prob. 19OQCh. 16 - Prob. 1CQCh. 16 - Prob. 2CQCh. 16 - Prob. 3CQCh. 16 - A piece of copper is dropped into a beaker of...Ch. 16 - Prob. 5CQCh. 16 - Prob. 6CQCh. 16 - Prob. 7CQCh. 16 - Prob. 8CQCh. 16 - Prob. 9CQCh. 16 - Prob. 10CQCh. 16 - Prob. 11CQCh. 16 - Prob. 12CQCh. 16 - Prob. 13CQCh. 16 - Prob. 1PCh. 16 - Convert the following to equivalent temperatures...Ch. 16 - Prob. 3PCh. 16 - Prob. 4PCh. 16 - Prob. 5PCh. 16 - Prob. 6PCh. 16 - Prob. 7PCh. 16 - Prob. 8PCh. 16 - Prob. 9PCh. 16 - A sample of a solid substance has a mass m and a...Ch. 16 - Each year thousands of children are badly burned...Ch. 16 - Prob. 12PCh. 16 - Prob. 13PCh. 16 - Prob. 14PCh. 16 - The active element of a certain laser is made of a...Ch. 16 - Prob. 16PCh. 16 - Prob. 17PCh. 16 - Prob. 18PCh. 16 - Prob. 19PCh. 16 - Prob. 20PCh. 16 - Prob. 21PCh. 16 - Prob. 22PCh. 16 - Prob. 23PCh. 16 - Prob. 24PCh. 16 - Prob. 25PCh. 16 - Prob. 26PCh. 16 - Prob. 27PCh. 16 - Prob. 28PCh. 16 - The mass of a hot-air balloon and its cargo (not...Ch. 16 - Prob. 30PCh. 16 - A popular brand of cola contains 6.50 g of carbon...Ch. 16 - Prob. 32PCh. 16 - At 25.0 m below the surface of the sea, where the...Ch. 16 - To measure how far below the ocean surface a bird...Ch. 16 - Prob. 35PCh. 16 - Prob. 36PCh. 16 - Prob. 37PCh. 16 - Prob. 38PCh. 16 - Prob. 39PCh. 16 - A cylinder contains a mixture of helium and argon...Ch. 16 - Prob. 41PCh. 16 - Prob. 42PCh. 16 - Prob. 43PCh. 16 - (a) How many atoms of helium gas fill a spherical...Ch. 16 - Fifteen identical particles have various speeds:...Ch. 16 - From the MaxwellBoltzmann speed distribution, show...Ch. 16 - Prob. 47PCh. 16 - Helium gas is in thermal equilibrium with liquid...Ch. 16 - Prob. 49PCh. 16 - Prob. 50PCh. 16 - Prob. 51PCh. 16 - Prob. 52PCh. 16 - A mercury thermometer is constructed as shown in...Ch. 16 - A liquid with a coefficient of volume expansion ...Ch. 16 - A clock with a brass pendulum has a period of...Ch. 16 - A vertical cylinder of cross-sectional area A is...Ch. 16 - Prob. 57PCh. 16 - Prob. 58PCh. 16 - Prob. 59PCh. 16 - The rectangular plate shown in Figure P16.60 has...Ch. 16 - In a chemical processing plant, a reaction chamber...Ch. 16 - Prob. 62PCh. 16 - Prob. 63PCh. 16 - Two concrete spans that form a bridge of length L...Ch. 16 - A 1.00-km steel railroad rail is fastened securely...Ch. 16 - Prob. 66PCh. 16 - Prob. 67PCh. 16 - Prob. 68PCh. 16 - Consider an object with any one of the shapes...Ch. 16 - Prob. 70PCh. 16 - Prob. 71PCh. 16 - Prob. 72PCh. 16 - Prob. 73PCh. 16 - A cylinder that has a 40.0-cm radius and is 50.0...Ch. 16 - Prob. 75P
Knowledge Booster
Background pattern image
Physics
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
SEE MORE QUESTIONS
Recommended textbooks for you
Text book image
Principles of Physics: A Calculus-Based Text
Physics
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Cengage Learning
Text book image
Physics for Scientists and Engineers: Foundations...
Physics
ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Cengage Learning
Thermal Expansion and Contraction of Solids, Liquids and Gases; Author: Knowledge Platform;https://www.youtube.com/watch?v=9UtfegG4DU8;License: Standard YouTube License, CC-BY