An aluminum rod is measured with a steel tape at 25°C. The reading is exactly 1.000 m long. Determine the steel tape measure's “reading" of the aluminum rod in the following cases. Will the “reading" be (1) more than, (2) the same as, or (3) less than 1.000 m? [Hint: A simple sketch for each case might be helpful. Both the aluminum rod and steel tape will expand or shrink as temperature changes.] [The coefficients of linear expansion for steel and aluminum are on the first page of this lab.] (a) only the steel tape is cooled to 0°C, (b) only the aluminum rod is cooled to 0°C, (c) both the steel tape and aluminum rod are cooled to 0°C, (d) only the steel tape is heated to 50°C, (e) only the aluminum rod is heated to 50°C, (f) both the steel tape and aluminum rod are heated to 50°C.

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I need help with parts d, e, & f ! This is a thermal expansion problem. 

The average coefficients of some common materials are listed in the table below.
Material
Average Coefficient of Linear Expansion (1/°C)
Aluminum
24 x 10-6
Copper
16 x 10-6
Steel
11 x 10-6
Brass
19 x 10-6
Concrete
12 x 10-6
Lead
29 x 10-6
Mercury
1.8 x 10-4
Alcohol
1.1 x 10-4
Air
3.7 x 10-3
Transcribed Image Text:The average coefficients of some common materials are listed in the table below. Material Average Coefficient of Linear Expansion (1/°C) Aluminum 24 x 10-6 Copper 16 x 10-6 Steel 11 x 10-6 Brass 19 x 10-6 Concrete 12 x 10-6 Lead 29 x 10-6 Mercury 1.8 x 10-4 Alcohol 1.1 x 10-4 Air 3.7 x 10-3
An aluminum rod is measured with a steel tape at 25°C. The reading is exactly 1.000 m long. Determine
the steel tape measure's "reading" of the aluminum rod in the following cases. Will the "reading" be (1)
more than, (2) the same as, or (3) less than 1.000 m?
[Hint: A simple sketch for each case might be helpful. Both the aluminum rod and steel tape will expand or
shrink as temperature changes.]
[The coefficients of linear expansion for steel and aluminum are on the first page of this lab.]
1.
(a) only the steel tape is cooled to 0°C,
(b) only the aluminum rod is cooled to 0°C,
(c) both the steel tape and aluminum rod are cooled to 0°C,
(d) only the steel tape is heated to 50°C,
(e) only the aluminum rod is heated to 50°C,
(f) both the steel tape and aluminum rod are heated to 50°C.
Transcribed Image Text:An aluminum rod is measured with a steel tape at 25°C. The reading is exactly 1.000 m long. Determine the steel tape measure's "reading" of the aluminum rod in the following cases. Will the "reading" be (1) more than, (2) the same as, or (3) less than 1.000 m? [Hint: A simple sketch for each case might be helpful. Both the aluminum rod and steel tape will expand or shrink as temperature changes.] [The coefficients of linear expansion for steel and aluminum are on the first page of this lab.] 1. (a) only the steel tape is cooled to 0°C, (b) only the aluminum rod is cooled to 0°C, (c) both the steel tape and aluminum rod are cooled to 0°C, (d) only the steel tape is heated to 50°C, (e) only the aluminum rod is heated to 50°C, (f) both the steel tape and aluminum rod are heated to 50°C.
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