In this example we see how thermal expansion can actually throw off theaccuracy of a length-measuring device-namely, a tape measure. Asurveyor uses a steel measuring tape that is exactly 50.000 m long at atemperature of 20 °C. What is its length on a hot summer day when thetemperature is 35 °C?SOLUTIONSET UP AND SOLVE We have Lo = 50.000 m. To(Note that because AL is usually much smaller than Lo, we needsteel is 1.2 x 10-5 K-¹. Using the same equation,The new length isPart A - Practice Problem:20 °C, and T 35 °C. We use the following equation to find AL:AL=aLo ATIVD ΑΣΦSubmitL = Lo + AL50.000 m -0.0090 m :50,009 mREFLECT The measuring tape lengthens by 9 mm, or 0.018%. In surveying a baseball field, this amount is negligible, but not when measuring the length of a steel bridge. Notethat, although Lo is given to five significant figures, we need only two of them to compute AL.Request Answerkeep more significant figures in the lengths than in the temperatures.) The coefficient of linear expansion forAL aLo ATA concrete slab forming part of a driveway is 40.000 m long when the temperature is 20 °C. How much does the driveway increase in length when the temperature increases to30 °C? The coefficient of linear expansion for concrete is 1.2 x 10-5 K-¹Express your answer in millimeters to two significant figures.?(1.2 x 105 K¹) (50 m) (35 °C9.0 x 10³ m9.0 mmmm20 °C)

Answered: Image /qna-images/answer/f16e98c8-5c84-44ed-a00e-aadd8eebdabc.jpg

art A- Practice Problem: A concrete slab forming part of a driveway is 40.000 m long when the temperature is 20 °C. How much does the driveway increase in length when the temperature increases to 30 °C? The coefficient of linear expansion for concrete is 1.2 x 10 K¹ Express your answer in millimeters to two significant figures.

art A- Practice Problem: A concrete slab forming part of a driveway is 40.000 m long when the temperature is 20 °C. How much does the driveway increase in length when the temperature increases to 30 °C? The coefficient of linear expansion for concrete is 1.2 x 10 K¹ Express your answer in millimeters to two significant figures.

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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Concept explainers

Ideal Gas Law

Ideal gas law states that the product of pressure and volume of a gas directly varies with the product of the number of moles, the universal gas constant, and the temperature of the gas.

Question

In this example we see how thermal expansion can actually throw off the
accuracy of a length-measuring device-namely, a tape measure. A
surveyor uses a steel measuring tape that is exactly 50.000 m long at a
temperature of 20 °C. What is its length on a hot summer day when the
temperature is 35 °C?
SOLUTION
SET UP AND SOLVE We have Lo = 50.000 m. To
(Note that because AL is usually much smaller than Lo, we need
steel is 1.2 x 10-5 K-¹. Using the same equation,
The new length is
Part A - Practice Problem:
20 °C, and T 35 °C. We use the following equation to find AL:
AL=aLo AT
IVD ΑΣΦ
Submit
L = Lo + AL
50.000 m -0.0090 m :
50,009 m
REFLECT The measuring tape lengthens by 9 mm, or 0.018%. In surveying a baseball field, this amount is negligible, but not when measuring the length of a steel bridge. Note
that, although Lo is given to five significant figures, we need only two of them to compute AL.
Request Answer
keep more significant figures in the lengths than in the temperatures.) The coefficient of linear expansion for
AL aLo AT
A concrete slab forming part of a driveway is 40.000 m long when the temperature is 20 °C. How much does the driveway increase in length when the temperature increases to
30 °C? The coefficient of linear expansion for concrete is 1.2 x 10-5 K-¹
Express your answer in millimeters to two significant figures.
?
(1.2 x 105 K¹) (50 m) (35 °C
9.0 x 10³ m
9.0 mm
mm
20 °C)

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