Question

A
copper rod and an aluminum rod are the same length. The copper rod
starts at 10º C and is heated to 20º C. The aluminum rod starts at
40º C and is heated to 50º C. The thermal coefficient of expansion
of aluminum is larger than that of copper. Which rod ends up
longer?

Answer #1

a.) An aluminum rod has an initial length of Lo = 670
[mm] and has an initial temperature of 24.5o. At what
value should the temperature be raised such that the rod would
expand at a length of 672.01[mm]? The coefficient of thermal
expansion of aluminum is 23.80x10^-6 Co.
b.) Three rods made of copper, aluminum, and brass has the same
initial length Lo. All rods expand to the same final
length L when subjected to change temperature. Which of...

A copper rod, an aluminum rod, and a brass rod, each of 6.00 m
length and 1.00 cm diameter, are placed end to end with the
aluminum rod between the other two. The free end of the copper rod
is maintained at water’s boiling point, and the free end of the
brass rod is maintained at water’s freezing point. We know that
??????? = 401 W⁄m. K , ????????? = 235 W⁄m. K and ?????? = 109 W⁄m.
k. What...

A copper rod has a length of 4 meters, and its sectional area
it is 5 x 10^-4 m^2. Heat enters through the left end of the rod
and exits through the
rightmost. Copper has a thermal conductivity of 386 W / m ° C.
If the heat flux through the rod is 2400 W, determine the
difference in temperatures at the two ends.

An aluminum rod with a square cross section is 2.0 m long and
6.6 mm on edge. (a) What is the resistance between its ends? (b)
What must be the diameter of a cylindrical copper rod of length 2.0
m if its resistance is to be the same as that of the aluminum rod?
The resistivity of aluminum is 2.75 × 10-8 Ω·m and the resistivity
of copper is 1.69 × 10-8 Ω·m.

Consider two thin rods, one of aluminum and another of unknown
material, x of equal length, 100 cm each, both at 12 C. The
coefficient of linear expansion for Aluminum is
2.4×10–5/oC. When both having identical
initial temperature 12 C are raised to the same final temperature
92 C, the aluminum rod changed in length by an amount that equals
double the change happening to the other unknown rod, x. Find the
coefficient of linear expansion for the unknown rod.

A steel rod has length 57.9 cm and radius 2.20 cm. An aluminum
rod has length 35.3 cm and radius 2.20 cm. The rods are joined
end-to-end. When compressive forces of magnitude 5.40 kN are
applied to the ends, by how much does the total length of the rods
decrease? Young’s modulus of steel is 2.00 × 1011 N/m2 and Young’s
modulus of aluminum is 7.00 × 1010 N/m2.

Experimental data:
Length L0 of the cold rod (measured with a meter stick): 600 +/-
1 mm
Cross-sectional diameter d of the rod (measured with a caliper):
6.1 +/- 0.1 mm
The change in length ∆L after the rod reached its final
temperature: 1.04 +/- 0.01 mm
The initial temperature of the rod (the room temperature): 22
+/- 1 ̊C
The final temperature of the rod shown by the thermometer: 93 +/- 1
̊C
Linear thermal expansion coefficient
calculation:
1)...

At 22°C, a rod is exactly 24.49 cm long on a steel ruler. Both
the rod and the ruler are placed in an oven at 230°C, where the rod
now measures 24.60 cm on the same ruler. What is the coefficient of
thermal expansion for the material of which the rod is made? The
linear expansion coefficient of steel is 11 x 10-6
1/C°.

At 22°C, a rod is exactly 23.45 cm long on a steel ruler. Both
the rod and the ruler are placed in an oven at 240°C, where the rod
now measures 23.70 cm on the same ruler. What is the coefficient of
thermal expansion for the material of which the rod is made? The
linear expansion coefficient of steel is 11 x 10-6
1/C°.

A square antenna is made of copper strips and the length of any
side at 25°C is 10 meters. The average coefficient of linear
expansion of copper is 0.00002 (°C)⁻¹. What is the area of the
antenna if all the sides are heated evenly to 50°C?

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