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.

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Chapter11: Energy In Thermal Processes
Section: Chapter Questions
Problem 40P: The thermal conductivities of human tissues vary greatly. Fat and skin have conductivities of about...
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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)
Transcribed Image Text: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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