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PROBLEM SET 5 1. The specific weight of water at ordinary pressure and temperature is 62.4 lb/ft³ (9.81 kN/m³). The specific gravity of mercury is 13.55. Compute the density of water and the specific weight and density of mercury. 2. One cubic foot of oxygen at 100°F and 15 psia is compressed adiabatically to 0.4 ft. What then, are the temperature and pressure of the gas. If the process had been isothermal, what would the temperature and pressure have been? 3. In a test to determine the bulk modulus of a liquid it was found that as the absolute pressure was changed from 15 to 3000 psi the volume decreased from 10.240 to 10.138 in.3 Determine the bulk modulus for this liquid. Ans. 3 x 105 psi 4. A formula for estimating the volume rate of flow, Q. over the spillway of a dam is Q=C 2g B (H+V²/2g)³/2 where C is a constant, g the acceleration of gravity, B the spillway width, H the depth of water passing over the spillway and V the velocity of water just upstream of the dam. Check if this equation be valid in any system of units. 5. A 12-in.-diameter circular plate is placed over a fixed bottom plate with a 0.1-in. gap between the two plates filled with glycerin as shown in Fig. P1.4. Determine the torque required to rotate the circular plate slowly at 2 rpm. Assume that the velocity distribution in the gap is linear and that the shear stress on the edge of the rotating plate is negligible. Ans. 0.0772 ft-lb Torque Rotating plate 0.1 in. gap Figure P1.4: Illustration for Example 1.5

PROBLEM SET 5 1. The specific weight of water at ordinary pressure and temperature is 62.4 lb/ft³ (9.81 kN/m³). The specific gravity of mercury is 13.55. Compute the density of water and the specific weight and density of mercury. 2. One cubic foot of oxygen at 100°F and 15 psia is compressed adiabatically to 0.4 ft. What then, are the temperature and pressure of the gas. If the process had been isothermal, what would the temperature and pressure have been? 3. In a test to determine the bulk modulus of a liquid it was found that as the absolute pressure was changed from 15 to 3000 psi the volume decreased from 10.240 to 10.138 in.3 Determine the bulk modulus for this liquid. Ans. 3 x 105 psi 4. A formula for estimating the volume rate of flow, Q. over the spillway of a dam is Q=C 2g B (H+V²/2g)³/2 where C is a constant, g the acceleration of gravity, B the spillway width, H the depth of water passing over the spillway and V the velocity of water just upstream of the dam. Check if this equation be valid in any system of units. 5. A 12-in.-diameter circular plate is placed over a fixed bottom plate with a 0.1-in. gap between the two plates filled with glycerin as shown in Fig. P1.4. Determine the torque required to rotate the circular plate slowly at 2 rpm. Assume that the velocity distribution in the gap is linear and that the shear stress on the edge of the rotating plate is negligible. Ans. 0.0772 ft-lb Torque Rotating plate 0.1 in. gap Figure P1.4: Illustration for Example 1.5

Elements Of Electromagnetics
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
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PROBLEM SET 5 1. The specific weight of water at ordinary pressure and temperature is 62.4 lb/ft³ (9.81 kN/m³). The specific gravity of mercury is 13.55. Compute the density of water and the specific weight and density of mercury. 2. One cubic foot of oxygen at 100°F and 15 psia is compressed adiabatically to 0.4 ft. What then, are the temperature and pressure of the gas. If the process had been isothermal, what would the temperature and pressure have been? 3. In a test to determine the bulk modulus of a liquid it was found that as the absolute pressure was changed from 15 to 3000 psi the volume decreased from 10.240 to 10.138 in.3 Determine the bulk modulus for this liquid. Ans. 3 x 105 psi 4. A formula for estimating the volume rate of flow, Q. over the spillway of a dam is Q=C 2g B (H+V²/2g)³/2 where C is a constant, g the acceleration of gravity, B the spillway width, H the depth of water passing over the spillway and V the velocity of water just upstream of the dam. Check if this equation be valid in any system of units. 5. A 12-in.-diameter circular plate is placed over a fixed bottom plate with a 0.1-in. gap between the two plates filled with glycerin as shown in Fig. P1.4. Determine the torque required to rotate the circular plate slowly at 2 rpm. Assume that the velocity distribution in the gap is linear and that the shear stress on the edge of the rotating plate is negligible. Ans. 0.0772 ft-lb Torque Rotating plate 0.1 in. gap Figure P1.4: Illustration for Example 1.5
Transcribed Image Text:PROBLEM SET 5 1. The specific weight of water at ordinary pressure and temperature is 62.4 lb/ft³ (9.81 kN/m³). The specific gravity of mercury is 13.55. Compute the density of water and the specific weight and density of mercury. 2. One cubic foot of oxygen at 100°F and 15 psia is compressed adiabatically to 0.4 ft. What then, are the temperature and pressure of the gas. If the process had been isothermal, what would the temperature and pressure have been? 3. In a test to determine the bulk modulus of a liquid it was found that as the absolute pressure was changed from 15 to 3000 psi the volume decreased from 10.240 to 10.138 in.3 Determine the bulk modulus for this liquid. Ans. 3 x 105 psi 4. A formula for estimating the volume rate of flow, Q. over the spillway of a dam is Q=C 2g B (H+V²/2g)³/2 where C is a constant, g the acceleration of gravity, B the spillway width, H the depth of water passing over the spillway and V the velocity of water just upstream of the dam. Check if this equation be valid in any system of units. 5. A 12-in.-diameter circular plate is placed over a fixed bottom plate with a 0.1-in. gap between the two plates filled with glycerin as shown in Fig. P1.4. Determine the torque required to rotate the circular plate slowly at 2 rpm. Assume that the velocity distribution in the gap is linear and that the shear stress on the edge of the rotating plate is negligible. Ans. 0.0772 ft-lb Torque Rotating plate 0.1 in. gap Figure P1.4: Illustration for Example 1.5
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