The strength and stability of tires may be enhanced by heating both sides of the rubber k = 0.14 W / m ⋅ K , α = 6.35 × 10 − 8 m 2 / s in a steam chamber for which T ∞ = 200 ° C . In the heating process, a 20-mm-thick rubber wall (assumed to be untreaded) is taken from an initial temperature of 25°C to a midplane temperature of 150°C. (a) If steam flow over the tire surfaces maintains a convection coefficient of h = 200 W / m 2 ⋅ K , how long will it take to achieve the desired midplane temperature? (b) To accelerate the heating process, it is recommended that the steam flow be made sufficiently vigorous to maintain the tire surfaces at 200°C throughout the process. Compute and plot the midplane and surface temperatures for this case, as well as for the conditions of part (a).
The strength and stability of tires may be enhanced by heating both sides of the rubber k = 0.14 W / m ⋅ K , α = 6.35 × 10 − 8 m 2 / s in a steam chamber for which T ∞ = 200 ° C . In the heating process, a 20-mm-thick rubber wall (assumed to be untreaded) is taken from an initial temperature of 25°C to a midplane temperature of 150°C. (a) If steam flow over the tire surfaces maintains a convection coefficient of h = 200 W / m 2 ⋅ K , how long will it take to achieve the desired midplane temperature? (b) To accelerate the heating process, it is recommended that the steam flow be made sufficiently vigorous to maintain the tire surfaces at 200°C throughout the process. Compute and plot the midplane and surface temperatures for this case, as well as for the conditions of part (a).
Solution Summary: The author calculates the temperature profile for the wall on T-x coordinates. An electrical chip is inserted at the outer surface to prevent the heat transfer from inside to the outside.
The strength and stability of tires may be enhanced by heating both sides of the rubber
k
=
0.14
W
/
m
⋅
K
,
α
=
6.35
×
10
−
8
m
2
/
s
in a steam chamber for which
T
∞
=
200
°
C
. In the heating process, a 20-mm-thick rubber wall (assumed to be untreaded) is taken from an initial temperature of 25°C to a midplane temperature of 150°C.
(a) If steam flow over the tire surfaces maintains a convection coefficient of
h
=
200
W
/
m
2
⋅
K
, how long will it take to achieve the desired midplane temperature?
(b) To accelerate the heating process, it is recommended that the steam flow be made sufficiently vigorous to maintain the tire surfaces at 200°C throughout the process. Compute and plot the midplane and surface temperatures for this case, as well as for the conditions of part (a).
500
Q3: The attachment shown in Fig.3 is made of
1040 HR. The static force is 30 kN. Specify the
weldment (give the pattern, electrode
number, type of weld, length of weld, and leg
size).
Fig. 3
All dimension
in mm
30 kN
100
(10 Marks)
(read image) (answer given)
A cylinder and a disk are used as pulleys, as shown in the figure. Using the data
given in the figure, if a body of mass m = 3 kg is released from rest after falling a
height h 1.5 m, find:
a) The velocity of the body.
b) The angular velocity of the disk.
c) The number of revolutions the cylinder has made.
T₁
F
Rd =
0.2 m
md =
2 kg
T
T₂1
Rc = 0.4 m
mc = 5 kg
☐ m = 3 kg
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