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A steel beam being used in the construction of a skyscraper has a length of 35.000 m when delivered on a cold day at a temperature of 15.000°F. What is the length of the beam when it is being installed later on a warm day when the temperature is 90.000°F?
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Physics for Scientists and Enginee...
9th Edition
Raymond A. Serway + 1 other
Publisher: Cengage Learning
ISBN: 9781305116399
Solutions
Chapter
Section
BuyFindarrow_forward
Physics for Scientists and Enginee...
9th Edition
Raymond A. Serway + 1 other
Publisher: Cengage Learning
ISBN: 9781305116399
Chapter 19, Problem 19.46AP
Textbook Problem
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A steel beam being used in the construction of a skyscraper has a length of 35.000 m when delivered on a cold day at a temperature of 15.000°F. What is the length of the beam when it is being installed later on a warm day when the temperature is 90.000°F?
To determine
The length of the beam when it is being installed later on a warm day.
Explanation of Solution
Given information: The initial length of beamis
The formula to convert temperature from Fahrenheit to Celsius is,
Convert initial temperature from Fahrenheit to Celsius.
Here,
Substitute
Convert final temperature from Fahrenheit to Celsius.
Here,
Substitute
The coefficient of the linear expansion of the steel is
The formula for the coefficient of the linear expansion is,
Here,
Chapter 19 Solutions
Physics for Scientists and Engineers, Technology Update (No access codes included)
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addCh. 19 - Two objects, with different sizes, masses, and...Ch. 19 - Consider the following pairs of materials. Which...Ch. 19 - If you are asked to make a very sensitive glass...Ch. 19 - Two spheres are made of the same metal and have...Ch. 19 - A common material for cushioning objects in...Ch. 19 - On a winter day, you turn on your furnace and the...Ch. 19 - Markings to indicate length are placed on a steel...Ch. 19 - When a certain gas under a pressure of 5.00 106...Ch. 19 - If the volume of an ideal gas is doubled while its...Ch. 19 - The pendulum of a certain pendulum clock is made...
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The Golden Gate Bridge in San Francisco...Ch. 19 - A sample of lead has a mass of 20.0 kg and a...Ch. 19 - A sample of a solid substance has a mass m and a...Ch. 19 - An underground gasoline lank can hold 1.00 103...Ch. 19 - A rigid lank contains 1.50 moles of an ideal gas....Ch. 19 - Gas is confined in a lank at a pressure of 11.0...Ch. 19 - Your father and your younger brother are...Ch. 19 - Gas is contained in an 8.00-L vessel al a...Ch. 19 - A container in the shape of a cube 10.0 cm on each...Ch. 19 - An auditorium has dimensions 10.0 m 20.0 m 30.0...Ch. 19 - The pressure gauge on a lank registers the gauge...Ch. 19 - (a) Find the number of moles in one cubic meter of...Ch. 19 - Use the definition of Avogadros number to find the...Ch. 19 - A popular brand of cola contains 6.50 g of carbon...Ch. 19 - In state-of-the-art vacuum systems, pressures as...Ch. 19 - An automobile tire is inflated with air originally...Ch. 19 - Review. 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An aluminum pipe is open at both ends and...Ch. 19 - Two metal bars are made of invar and a third bar...Ch. 19 - A student measures the length of a brass rod with...Ch. 19 - The density of gasoline is 730 kg/m3 at 0C. Its...Ch. 19 - A liquid has a density . (a) Show that the...Ch. 19 - (a) Take the definition of the coefficient of...Ch. 19 - Review. A dock with a brass pendulum has a period...Ch. 19 - A bimetallic strip of length L is made of two...Ch. 19 - The rectangular plate shown in Figure P18.37 has...Ch. 19 - The measurement of the average coefficient of...Ch. 19 - A copper rod and a steel rod are different in...Ch. 19 - A vertical cylinder of cross-sectional area A is...Ch. 19 - Review. Consider an object with any one of the...Ch. 19 - (a) Show that the density of an ideal gas...Ch. 19 - You are watching a new bridge being built near...Ch. 19 - You are watching a new bridge being built near...Ch. 19 - Review. (a) Derive an expression for the buoyant...Ch. 19 - Review. 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