1. Oxygen at 30°C and 300 kPa absolute pressure expands isotherrnally to an absolute pressure of 120 kPa. Determine the final density of the gas. Ans. 1.52 kg/m³

Elements Of Electromagnetics
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Author:Sadiku, Matthew N. O.
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1. Oxygen at 30°C and 300 kPa absolute pressure expands isotherrnally to an absolute pressure
of 120 kPa. Determine the final density of the gas. Ans. 1.52 kg/m³
2. Air is enclosed by a rigid cylinder containing a piston. A pressure gage attached to the cylinder
indicates an initial reading of 25 psi. Determine the reading on the gage when the piston has
compressed the air to one-third its original volume. Assume the compression process to be
isothermal and the local atmospheric pressure to be 14.7 psi. Ans. 104 psig
3. The viscosity of liquids can be measured through the use of a rotating cylinder viscometer of
the type illustrated in Fig. P1.3. In this device the outer cylinder is fixed and the inner cylinder
is rotated with an angular velocity w. The torque T, required to develop w is measured and
the viscosity is calculated from these two measurements. Develop an equation relating u, w,
T, e, Ro and Ri. Neglect end effects and assume the velocity distribution in the gap is linear.
Liquid
Rotating
cylinder
Fixed
outer
cylinder
Figure P1.3: Rotating cylinder viscometer
4. The space between two 6-in. long concentric cylinders is filled with glycerin (viscosity = 8.5 X
10³ lb-s/ft2). The inner cylinder has a radius of 3 in. and the gap width between cylinders is
0.1 in. Determine the torque and the power required to rotate the inner cylinder at 180 rev
/min. The outer cylinder is fixed. Assume the velocity distribution in the gap to be linear. Refer
to Fig. P1.3. Ans. 0.944 ft.-lb, 17.8 ft-lb/s
Transcribed Image Text:1. Oxygen at 30°C and 300 kPa absolute pressure expands isotherrnally to an absolute pressure of 120 kPa. Determine the final density of the gas. Ans. 1.52 kg/m³ 2. Air is enclosed by a rigid cylinder containing a piston. A pressure gage attached to the cylinder indicates an initial reading of 25 psi. Determine the reading on the gage when the piston has compressed the air to one-third its original volume. Assume the compression process to be isothermal and the local atmospheric pressure to be 14.7 psi. Ans. 104 psig 3. The viscosity of liquids can be measured through the use of a rotating cylinder viscometer of the type illustrated in Fig. P1.3. In this device the outer cylinder is fixed and the inner cylinder is rotated with an angular velocity w. The torque T, required to develop w is measured and the viscosity is calculated from these two measurements. Develop an equation relating u, w, T, e, Ro and Ri. Neglect end effects and assume the velocity distribution in the gap is linear. Liquid Rotating cylinder Fixed outer cylinder Figure P1.3: Rotating cylinder viscometer 4. The space between two 6-in. long concentric cylinders is filled with glycerin (viscosity = 8.5 X 10³ lb-s/ft2). The inner cylinder has a radius of 3 in. and the gap width between cylinders is 0.1 in. Determine the torque and the power required to rotate the inner cylinder at 180 rev /min. The outer cylinder is fixed. Assume the velocity distribution in the gap to be linear. Refer to Fig. P1.3. Ans. 0.944 ft.-lb, 17.8 ft-lb/s
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