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A 12-cm tall, 6-cm outer diameter cylindrical ceramic mug filled with tea is boiling in a microwave oven. Assume latent heat of evaporation as 2260 kJ/kg. The convection heat transfer coefficient is h=20 W/(m 2 K) and the air in the microwave is at 20 °C. The mug’s wall thickness is 6 mm and the ceramic thermal conductivity is 30 W/(mK). Neglect heat transfer from the bottom of the mug and calculate the rate (in g/s) at which the tea is boiling if the microwave power absorbed by the tea is 50 W.

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A toroid with inner diameter of 3 cm, outer diameter of 5 cm,
and height of 0.1 cm is made of a body-centered-cubic (bcc)
paramagnetic material with lattice parameter equal to 0.5 nm. The
toroid is wrapped by a copper wire in 20 turns. If each atom of the
magnetic material has a magnetic moment of 1.5µB (Bohr Magneton),
(a) (1.5 pt) What is the saturation magnetization (in A/m) of the
material? (b) (1.5 pt) If a current of 2...

Hot forging is used to reduce a metallic cylindrical workpiece
with a diameter of 12 cm and height of 24 cm to a height of 15 cm.
The coefficient of friction of the open die plate with the
workpiece is 0.18 and the process takes 4 seconds to complete and
at a constant speed. The strength coefficient of the workpiece C=
180 MPa and strain rate sensitivity exponent m = 0.25. calculate
the following:
The forging shape factor at the...

A brass ring with inner diameter 2.00 cm and outer diameter 3.00
cm needs to fit over a 2.00 cm-diameter steel rod, but at 20∘C the
hole through the brass ring is 48 μmtoo small in diameter.
To what temperature, in ∘C, must the rod and ring be heated so that
the ring just barely slips over the rod?

A short and hollow cylindrical bar, having an outer diameter of
4.00 in and an inner diameter of 7 in, is
subjected to two simultaneous loads - an axial compressive force of
75,100 lb. and a torsional moment of
20,100 lb • in.
You are required to create two-dimensional (2D) and
three-dimensional (3D) stress elements for two stress
states on the outer and inner surfaces of the bar to in-plane and
out-of-plane stresses, respectively and then
draw the 2D and...

A cylindrical can 0.90m high with a diameter of 0.30m is filled
with water to a depth of 0.70m from the bottom. A small hole with a
cross sectional area of 0.004m^2 is in the side of the can at the
bottom. Density of water is 1000kg/m^3 What is the speed of water
flowing out of the bottom of the can?

A cylindrical glass tank with a diameter of 8.6 cm and a height
of 25 cm is inverted and inserted into another tank of water. If no
air is allowed to escape from the glass container when submerged,
what is the height of the air column in the glass tank when its
edge is 2.0 m below the surface of the water?

The inner and outer diameter of a single core cable
are 3 cm and 8.5 cm The insulated with two materials having
relative permittivity of 5 and 3.5 respectively with corresponding
maximum electric stresses of 35 kV/cm and 25 kV/cm. Draw the
configuration and calculate:
a) the radial thickness of each insulating layer.
b) the safe working voltage of the cable.
c) draw the voltage and electric stress as a function of radial
distance from center to metal sheath.

A cylindrical shaped potato with length 2 cm and a diameter of
0.5 cm was dried at a temperature of 65 o C in a convective oven
for 24 h, if the surface temperature of the potato remained at 62 o
C throughout the drying operation, describe the different changes
that occurs during the constant and falling rate periods

Question 1
a) A cylindrical feedstock of length = 35.4 cm and diameter = 10
cm is subjected to turning using a high speed steel tool. For this
tool, n and C values in the Taylor tool life equation are 0.125 and
70 m/min, respectively. The cost for hiring an operator and using
the machine tool are $82 per hour. The tooling cost per edge of
cutting is $5. Loading and unloading the part on to the machine
takes about...

A cylindrical soil sample, 7.3 cm in diameter and 16.8 cm in
height, is tested in a constant-head permeability apparatus. A
constant head of 75 cm is maintained during the test. After 1
minute of testing, a total of 945.7 gm of water was collected. The
temperature was 20 oC. The void ratio of the soil was 0.43.
Calculate the following:
The hydraulic gradient
The flow rate
The discharge velocity
The seepage force per unit volume
The coefficient of permeability

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