Question

a.) An aluminum rod has an initial length of L_{o} = 670
[mm] and has an initial temperature of 24.5^{o}. 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 C^{o}.

b.) Three rods made of copper, aluminum, and brass has the same
initial length L_{o}. All rods expand to the same final
length L when subjected to change temperature. Which of the three
rods experienced the greatest temperature change?

Copper, Aluminum, or Brass?

c.) Three rods made of copper, aluminum, and brass has the same initial length. All rods are subjected to the same temperature change △T. Which of the three rods would expand the greatest?

Copper, Aluminum, or Brass?

Answer #2

answered by: anonymous

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?

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 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 steel rod without constrain has a length of 200 mm and
diameter of 20 mm at a temperature of 25oC. If the rod
is heated uniformly to 125oC, what will be the length
and diameter (accurate to 1/100 mm). What will be the stress at
125oC? The linear coefficient of thermal expansion of
steel is 12.5x10-6 m/m/C.

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.

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)...

A Physics 4C student team is doing a thermal experiment where
they have two rods of different materials. One rod is made of
cooper and the other brass. They are joined together. The brass
section has a length of 0.355 m. The copper section a length of
0.750 m. Each segment has cross-sectional area of 0.00475 m^2.
Boiling water is in contact with the free end of the brass rod
while the free end of the copper is in contact...

An aluminum-alloy rod has a length of 5.7276 cm at 18.00°C and a
length of 5.7553 cm at the boiling point of water.
(a) What is the length of the rod at the freezing
point of water? (b) What is the temperature if the
length of the rod is 5.7621 cm?

An aluminum transmission line with a diameter of 20 mm has an
electrical resistance of R'elec= 2.636 × 10-4 Ω/m and
carries a current of 700 A. The line is subjected to frequent and
severe cross winds, increasing the probability of contact between
adjacent lines, thereby causing sparks and creating a potential
fire hazard for nearby vegetation. The remedy is to insulate the
line, but with the adverse effect of increasing the conductor
operating temperature.
(a) Calculate the conductor temperature...

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