Question
In: Civil Engineering
To what temperature (in °C) must a cylindrical rod of one metal 10.045 mm in diameter...
To what temperature (in °C) must a cylindrical rod of one metal 10.045 mm in diameter and a plate of second metal having a circular hole 9.990 mm in diameter have to be heated for the rod to just fit into the hole? Assume that the initial temperature is 25°C and that the linear expansion coefficient values for metals one and two are 4.9 x 10-6 (°C)-1 and 17 x 10-6 (°C)-1, respectively.
Solutions
Ally Wells answered 1 year agoRelated Solutions
A cylindrical specimen of some metal alloy 8.6 mm in diameter is stressed in tension. A...
A cylindrical specimen of some metal alloy 8.6 mm in diameter is
stressed in tension. A force of 9070 N produces an elastic
reduction in specimen diameter of 0.0048 mm. Calculate the elastic
modulus (in GPa) of this material if its Poisson's ratio is
0.33.
A metal rod at 38°C is placed in a room at a constant temperature of 0°C....
A metal rod at 38°C is placed in a room at a constant
temperature of 0°C.
(a) If after 20 minutes the temperature of the rod is 20°C, find
the temperature function T(t) that
models the temperature T of the rod at time t. Assume Newton's Law
of Cooling.
Note: You must state the differential equation that models this
situation and include
how to solve this DE as part of your solution.
(b)Determine the time it will take for the...
A 1.60 m cylindrical rod of diameter 0.550 cm is connected to a power supply that...
A 1.60 m cylindrical rod of diameter 0.550 cm is connected to a
power supply that maintains a constant potential difference of 17.0
V across its ends, while an ammeter measures the current through
it. You observe that at room temperature (20.0 ∘ C ) the ammeter
reads 18.8 A , while at 92.0 ∘C it reads 17.3 A . You can ignore
any thermal expansion of the rod.
Part A
Find the resistivity and for the material of the...
A brass rod 25.00 mm long and 5.00 mm in diameter extends horizontally from a casting...
A brass rod 25.00 mm long and 5.00 mm in diameter extends
horizontally from a casting at 200°C. The rod is in an air
environment with T∞ =20°C and h=30 W/m2·K. What is the temperature
of the rod 6.25, 12.50, and 25.00 mm from the casting?
A brass rod 150.00 mm long and 5.00 mm in diameter extends horizontally from a casting...
A brass rod 150.00 mm long and 5.00 mm in diameter extends
horizontally from a casting at 200°C. The rod is in an air
environment with T∞ =20°C and h=30 W/m2·K. What is the temperature
of the rod 37.50, 75.00, and 150.00 mm from the casting?
A spring is to be designed to fit over a valve rod of 15 mm diameter...
A spring is to be designed to fit over a valve rod of 15 mm
diameter as shown in figure Q2. The forces acting on the spring
while closing and opening of the valve are F1 and F2 respectively.
Using the data given table Q2 and assuming that spring has squared
and ground ends,
Determine:
(i) Wire diameter of spring
(ii) Outside diameter of spring
(iii) Number of turns
(iv) Stiffness of spring
(v) Free length
(vi)...
As the temperature of a metal rod varies, so does the resistance and the dimensions of...
As the temperature of a metal rod varies, so does the resistance
and the dimensions of the rod. If a copper rod has a resistance of
4.78 Ω at 20.0°C, determine the resistance of the rod (in Ω) at
120°C by accounting for the changes in both the resistivity and the
dimensions of the rod. The coefficient of linear expansion for
copper is 1.67 ✕ 10−5 (°C)−1 and the temperature coefficient of
resistivity is 4.04 ✕ 10−3 (°C)−1.
A long cylindrical rod of 100 mm radius consists of a nuclear material (k = 0.5...
A long cylindrical rod of 100 mm radius consists of a nuclear
material (k = 0.5 W/m-K) generating 24 kW/m3 uniformly throughout
its volume. The rod is enclosed within a tube having an outer
radius of 200 mm and a thermal conductivity of 4 W/m-K. The outer
surface is exposed to a convection environment at 100 C with a
convective heat transfer coefficient of 20 W/m2-k.
a) Calculate the heat rate per unit length being convected away
from the rod....
A long cylindrical rod of 100 mm radius consists of a nuclear material (k = 0.5...
A long cylindrical rod of 100 mm radius consists of a nuclear
material (k = 0.5 W/m-K) generating 24 kW/m3 uniformly throughout
its volume. The rod is enclosed within a tube having an outer
radius of 200 mm and a thermal conductivity of 4 W/m-K. The outer
surface is exposed to a convection environment at 100 C with a
convective heat transfer coefficient of 20 W/m2-k.
a) Calculate the heat rate per unit length being convected away
from the rod....
A cylinder 100 mm in diameter and 80 mm long with an initial temperature of 527...
A cylinder 100 mm in diameter and 80 mm long with an initial
temperature of 527 C is suddenly exposed to water at 27 C giving a
convective heat transfer coefficient of 400 W/m2-K. Determine the
temperature at the center of the cylinder after 10 minutes. Assume
density is 8050 kg/m3, specific heat is 536 kJ/kg-K, and thermal
conductivity is 18.6 W/m-K.
**** Not lumped Capacitance Problem. ****
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