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6. A propeller shaft in a ship is 350 mm in diameter. The allowable working stress in shear is 50 MPa and the allowable angle of twist is 1° in 15 diameters of length. If G=85 GPa, determine the maximum torque the shaft can transmit. b. 395 kN-m c. 362 kN-m d. 441 kN-m a. 416 kN-m

6. A propeller shaft in a ship is 350 mm in diameter. The allowable working stress in shear is 50 MPa and the allowable angle of twist is 1° in 15 diameters of length. If G=85 GPa, determine the maximum torque the shaft can transmit. b. 395 kN-m c. 362 kN-m d. 441 kN-m a. 416 kN-m

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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Please answer Number 6 only. Thank you

1. A circular punch 20 mm in diameter is used to punch a hole through a steel plate 10 mm thick. If the force necessary to drive the punch through the metal is 250 kN, determine the maximum shearing stress developed in the material c. 400 MPa d. 500 MPa a. 200 MPa b. 300 MPa 2. It is required to transmit 70 Hp from a turbine by a solid circular shaft turning at 200 rpm. If the allowable shearing stress is 45 MPa, determine the required shaft diameter. a. 34.2 mm b. 65.6 mm c. 52.2 mm d. 9.35 mm 3. If the maximum permissible shearing stress is 10,000 psi, how many 3/8" bolts arranged in a 5" diameter bolt circle are required to transmit 100 hp at 315 rpm through a flanged coupling? a. 6 b. 7 c. 8 d. 9 4. Determine the maximum shearing stress in a helical spring composed of 20 turns of 20mm diameter wire on mean radius of 80 mm when the spring is supporting a load of 2 kN. a. 121 MPa b. 115 MPa c. 142 MPa d. 157 MPa 5. A solid circular steel rod 6 mm in diameter and 500 mm long is rigidly fastened to the end of a square brass bar 25 mm on a side and 400 mm long, the geometric axes of the bars lying along the same line. An axial tensile force of 5kN is applied at each of the extreme ends. Determine the total elongation of the assembly. For steel, E = 200 GPa and for brass E = 90 GPa. a. 0.293 mm b. 0.545 mm c. 0.374 mm d. 0.477 mm 6. A propeller shaft in a ship is 350 mm in diameter. The allowable working stress in shear is 50 MPa and the allowable angle of twist is 1° in 15 diameters of length. If G = 85 GPa, determine the maximum torque the shaft can transmit. a. 416 kN-m b. 395 kN-m d. 441 kN-m c. 362 kN-m 7. How much heat is required to change 100 lbs of ice at 10°F to steam at 212°F? Assume the following: specific heat of ice = 0.5 BTU/lb.°F heat of fusion of ice = 144 BTU/lb specific heat of water = 1 BTU/b-°F heat of vaporization of water = 970 BTU/b d. 110,500 BTU a. 125,000 BTU b. 150,000 BTU c. 130,500 BTU 8. A piston and cylinder arrangement contains saturated water vapor at 110 deg C. The vapor is compressed in a reversible, adiabatic process until the pressure is 1.6 MPa. What is the work done by the system per kilogram of water? a. -330 KJ/kg b.-637 kJ/kg c. -509 KJ/kg d. -432 KJ/kg 9. Steam is contained in a 4-liter volume at a pressure of 1.5 MPa and a temperature of 200°C. If the pressure is held constant by expanding the volume while 40 kJ of heat is added, find the final temperature. a. 785 °C b. 845 °C c. 512 °C d. 673 °C 10. Eight thousand cu. cm of air in a piston-cylinder arrangement kPa to a pressure of 800 kPa. Find the heat transfer. a. +4.44kJ is compressed isothermally at 30°C from a pressure of 200 6. +2.22 KJ d. -4.44 kJ b. -2.22 kJ 11. A Carnot engine rejects 80 MJ of energy every hour by transferring heat to a reservoir at 10°C. Determine the power produced if the rate of energy addition is 40 kW. a. 22.23 kW b. 8.89 kW c. 13.34 kW d. 17.78 kW 12. A gas of mass 0.2 kg is compressed slowly from 150 kPa and 40°C to 600 kPa, in an adiabatic process. Determine the final volume if the gas is air. a. 0.0445 cu. m. b. 0.0269 cu. m. c. 0.046 cu. m. d. 0.246 cu. m.
Transcribed Image Text:1. A circular punch 20 mm in diameter is used to punch a hole through a steel plate 10 mm thick. If the force necessary to drive the punch through the metal is 250 kN, determine the maximum shearing stress developed in the material c. 400 MPa d. 500 MPa a. 200 MPa b. 300 MPa 2. It is required to transmit 70 Hp from a turbine by a solid circular shaft turning at 200 rpm. If the allowable shearing stress is 45 MPa, determine the required shaft diameter. a. 34.2 mm b. 65.6 mm c. 52.2 mm d. 9.35 mm 3. If the maximum permissible shearing stress is 10,000 psi, how many 3/8" bolts arranged in a 5" diameter bolt circle are required to transmit 100 hp at 315 rpm through a flanged coupling? a. 6 b. 7 c. 8 d. 9 4. Determine the maximum shearing stress in a helical spring composed of 20 turns of 20mm diameter wire on mean radius of 80 mm when the spring is supporting a load of 2 kN. a. 121 MPa b. 115 MPa c. 142 MPa d. 157 MPa 5. A solid circular steel rod 6 mm in diameter and 500 mm long is rigidly fastened to the end of a square brass bar 25 mm on a side and 400 mm long, the geometric axes of the bars lying along the same line. An axial tensile force of 5kN is applied at each of the extreme ends. Determine the total elongation of the assembly. For steel, E = 200 GPa and for brass E = 90 GPa. a. 0.293 mm b. 0.545 mm c. 0.374 mm d. 0.477 mm 6. A propeller shaft in a ship is 350 mm in diameter. The allowable working stress in shear is 50 MPa and the allowable angle of twist is 1° in 15 diameters of length. If G = 85 GPa, determine the maximum torque the shaft can transmit. a. 416 kN-m b. 395 kN-m d. 441 kN-m c. 362 kN-m 7. How much heat is required to change 100 lbs of ice at 10°F to steam at 212°F? Assume the following: specific heat of ice = 0.5 BTU/lb.°F heat of fusion of ice = 144 BTU/lb specific heat of water = 1 BTU/b-°F heat of vaporization of water = 970 BTU/b d. 110,500 BTU a. 125,000 BTU b. 150,000 BTU c. 130,500 BTU 8. A piston and cylinder arrangement contains saturated water vapor at 110 deg C. The vapor is compressed in a reversible, adiabatic process until the pressure is 1.6 MPa. What is the work done by the system per kilogram of water? a. -330 KJ/kg b.-637 kJ/kg c. -509 KJ/kg d. -432 KJ/kg 9. Steam is contained in a 4-liter volume at a pressure of 1.5 MPa and a temperature of 200°C. If the pressure is held constant by expanding the volume while 40 kJ of heat is added, find the final temperature. a. 785 °C b. 845 °C c. 512 °C d. 673 °C 10. Eight thousand cu. cm of air in a piston-cylinder arrangement kPa to a pressure of 800 kPa. Find the heat transfer. a. +4.44kJ is compressed isothermally at 30°C from a pressure of 200 6. +2.22 KJ d. -4.44 kJ b. -2.22 kJ 11. A Carnot engine rejects 80 MJ of energy every hour by transferring heat to a reservoir at 10°C. Determine the power produced if the rate of energy addition is 40 kW. a. 22.23 kW b. 8.89 kW c. 13.34 kW d. 17.78 kW 12. A gas of mass 0.2 kg is compressed slowly from 150 kPa and 40°C to 600 kPa, in an adiabatic process. Determine the final volume if the gas is air. a. 0.0445 cu. m. b. 0.0269 cu. m. c. 0.046 cu. m. d. 0.246 cu. m.
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