CAST Domain 2: Mechanical Concepts Welcome to your CAST Domain 2: Mechanical Concepts 1. CAST: Mechanical Concepts A pulley system is designed to lift a 200-pound weight using a force of 50 pounds. How many pulleys are needed in the system? A. 2 B. 3 C. 4 D. 5 None 2. CAST: Mechanical Concepts In a hydraulic system, a small piston with a diameter of 2 inches is used to lift a large piston with a diameter of 8 inches. What force must be applied to the small piston to lift a 1600-pound weight on the large piston? A. 100 pounds B. 200 pounds C. 400 pounds D. 800 pounds None 3. CAST: Mechanical Concepts A gear system consists of a 20-tooth drive gear and a 60-tooth driven gear. If the drive gear rotates at 120 RPM, what is the rotation speed of the driven gear? A. 40 RPM B. 60 RPM C. 80 RPM D. 360 RPM None 4. CAST: Mechanical Concepts A lever with a length of 5 feet has the fulcrum placed 1 foot from the load. If the effort arm is 4 feet long, what effort force is needed to lift a 200-pound load? A. 40 pounds B. 50 pounds C. 100 pounds D. 160 pounds None 5. CAST: Mechanical Concepts A screw has a pitch of 0.1 inches, meaning it moves forward 0.1 inches for every complete turn. If the screw is turned 50 times, how far will it have moved? A. 2 inches B. 5 inches C. 10 inches D. 20 inches None 6. CAST: Mechanical Concepts A beam is supported at both ends and a force is applied in the middle. If the length of the beam is 10 feet and the force applied is 100 pounds, what is the moment at the supports? A. 250 foot-pounds B. 500 foot-pounds C. 1000 foot-pounds D. 2000 foot-pounds None 7. CAST: Mechanical Concepts A cylindrical tank is filled with water through a pipe at the rate of 5 cubic feet per minute. If the tank's diameter is 10 feet and its height is 20 feet, how long will it take to fill the tank completely? A. 60 minutes B. 100 minutes C. 200 minutes D. 400 minutes None 8. CAST: Mechanical Concepts A belt connects two pulleys with diameters of 2 inches and 4 inches, respectively. If the smaller pulley rotates at 200 RPM, what is the rotational speed of the larger pulley? A. 50 RPM B. 100 RPM C. 200 RPM D. 400 RPM None 9. CAST: Mechanical Concepts In a fluid system, if the pressure at one point is 50 PSI and the flow rate is 10 gallons per minute, what will be the flow rate if the pressure is increased to 100 PSI? A. 5 gallons per minute B. 10 gallons per minute C. 14.14 gallons per minute D. 20 gallons per minute None 10. CAST: Mechanical Concepts A wheel and axle mechanism is used to raise a weight. If the radius of the wheel is 2 feet and the radius of the axle is 0.5 feet, what effort is needed to lift a 100-pound weight? A. 25 pounds B. 50 pounds C. 100 pounds D. 200 pounds None 11. CAST: Mechanical Concepts If a force of 10 pounds is applied to a 6-inch long wrench to loosen a bolt, what is the torque applied to the bolt in foot-pounds? A. 5 foot-pounds B. 10 foot-pounds C. 30 foot-pounds D. 60 foot-pounds None 12. CAST: Mechanical Concepts A centrifugal pump is operating at a speed of 1200 RPM and delivering a flow rate of 300 gallons per minute. If the pump speed is increased to 1800 RPM, what will be the new flow rate, assuming pump efficiency remains constant? A. 450 gallons per minute B. 600 gallons per minute C. 900 gallons per minute D. 1200 gallons per minute None 13. CAST: Mechanical Concepts A pressurized container has a safety valve set to release at 150 PSI. If the area of the valve opening is 0.1 square inches, what is the force exerted by the pressurized gas on the valve at the moment it opens? A. 15 pounds B. 150 pounds C. 15,000 pounds D. 1,500 pounds None 14. CAST: Mechanical Concepts An electric motor applies a torque of 50 Newton-meters to a gear with a radius of 0.5 meters. What is the angular velocity of the gear if it is delivering 100 Watts of power? A. 20 radians per second B. 40 radians per second C. 200 radians per second D. 400 radians per second None 15. CAST: Mechanical Concepts In a hydraulic brake system, the master cylinder has a diameter of 1 inch, and the slave cylinder has a diameter of 2 inches. If the force applied to the master cylinder is 10 pounds, what is the force exerted by the slave cylinder? A. 10 pounds B. 20 pounds C. 40 pounds D. 80 pounds None 16. CAST: Mechanical Concepts A worm gear reduces the speed of an input shaft from 1800 RPM to 200 RPM. What is the gear ratio? A. 9:01 B. 8:01 C. 10:01 D. 12:01 None 17. CAST: Mechanical Concepts If a force of 200 Newtons is applied at the end of a 2-meter long lever arm to lift a weight, and the lever is balanced with the fulcrum 0.5 meters from the weight, what is the weight being lifted? A. 50 Newtons B. 200 Newtons C. 800 Newtons D. 400 Newtons None 18. CAST: Mechanical Concepts A fan is connected to a motor by a belt. If the diameter of the motor pulley is 4 inches and the diameter of the fan pulley is 2 inches, and the motor runs at 1800 RPM, what is the RPM of the fan? A. 900 RPM B. 1800 RPM C. 3600 RPM D. 7200 RPM None 19. CAST: Mechanical Concepts A hydraulic press has a force output of 10,000 pounds. If the input piston has an area of 1 square inch and the output piston has an area of 100 square inches, what is the input force required? A. 100 pounds B. 200 pounds C. 1,000 pounds D. 10,000 pounds None 20. CAST: Mechanical Concepts An inclined plane has a height of 2 meters and a length of 10 meters. If a force of 50 Newtons is required to push an object up the plane, what is the weight of the object? A. 10 Newtons B. 100 Newtons C. 250 Newtons D. 500 Newtons None 21. CAST: Mechanical Concepts A U-shaped tube is filled with water, and one end is connected to a vacuum that reduces the pressure by 1 atmosphere (approximately 101.3 kP A. If the atmospheric pressure is considered to be 101.3 kPa, how high will the water rise in the tube due to the vacuum? A) 10.3 meters B. 1.03 meters C. 10.3 centimeters D. 103 meters None 22. CAST: Mechanical Concepts A car's wheel has a radius of 0.3 meters, and the engine applies a torque of 200 Newton-meters to the wheel. If the car is in a state of static friction with the coefficient of friction being 0.8, what is the maximum force that can be applied to the car before it starts to move? A. 480 Newtons B. 533 Newtons C. 600 Newtons D. 666 Newtons None 23. CAST: Mechanical Concepts A four-bar linkage mechanism consists of four bars linked in a loop, with one bar fixed. If the lengths of the bars are 2, 3, 4, and 5 meters, respectively, and the input angle for the shortest bar is 30 degrees, what is the output angle of the opposite bar, assuming ideal conditions? A. 45 degrees B. 60 degrees C. 75 degrees D. 90 degrees None 24. CAST: Mechanical Concepts A pinion gear with 10 teeth meshes with a rack. If the pinion rotates 360 degrees, how far in millimeters does the rack move, assuming the pitch of the gear is 5 mm? A. 50 mm B. 100 mm C. 150 mm D. 200 mm None 25. CAST: Mechanical Concepts In a cam and follower mechanism, the cam has a base circle diameter of 50 mm and a lift of 20 mm. What is the maximum diameter of the cam? A. 70 mm B. 90 mm C. 110 mm D. 130 mm None 26. CAST: Mechanical Concepts A fluid is flowing through a pipe with a diameter of 100 mm at a velocity of 2 m/s. If the diameter of the pipe is reduced to 50 mm, what is the new velocity of the fluid, assuming incompressible flow? A. 1 m/s B. 4 m/s C. 8 m/s D. 16 m/s None 27. CAST: Mechanical Concepts A belt transfers power from a drive pulley with a diameter of 300 mm to a driven pulley with a diameter of 600 mm. If the drive pulley is rotating at 1500 RPM, what is the torque on the driven pulley, assuming 90% efficiency and no slip? A. Half the torque of the drive pulley B. The same as the torque of the drive pulley C. Twice the torque of the drive pulley D. Four times the torque of the drive pulley None 28. CAST: Mechanical Concepts A load is lifted by a crane using a steel cable that is wound around a drum with a radius of 1 meter. If the tension in the cable is 1000 N and the drum rotates 10 times to lift the load to the desired height, what is the work done by the crane? A. 10,000 Joules B. 20,000 Joules C. 62,800 Joules D. 31,400 Joules None 29. CAST: Mechanical Concepts A spherical tank has a radius of 2 meters and is filled with a fluid at a pressure of 100 kPa. What is the total force exerted by the fluid on the top hemisphere of the tank? A. 400? kN B. 800? kN C. 1200? kN D. 1600? kN None 30. CAST: Mechanical Concepts A car's engine generates 200 Nm of torque and is connected to wheels of radius 0.3 m. What is the maximum force that can be exerted on the road by the wheels? A. 600 N B. 666.67 N C. 750 N D. 833.33 N None 31. CAST: Mechanical Concepts In a gear train consisting of 3 gears, the first gear has 10 teeth and is rotating at 1000 RPM. The second gear has 20 teeth and the third gear has 30 teeth. What is the rotational speed of the third gear? A. 333.33 RPM B. 500 RPM C. 750 RPM D. 1000 RPM None 32. CAST: Mechanical Concepts A column is subjected to a compressive load of 100 kN and has a cross-sectional area of 200 mm^2. What is the stress in the column? A. 0.5 MPa B. 5 MPa C. 50 MPa D. 500 MPa None 33. CAST: Mechanical Concepts A fan blade rotates at a speed of 1200 RPM. If the tip of the blade is 0.75 meters from the center, what is the linear velocity of the tip? A. 90 m/s B. 180 m/s C. 270 m/s D. 360 m/s None 34. CAST: Mechanical Concepts A pulley system consists of a fixed pulley and a movable pulley to lift a load. If the effort required to lift a 400 N load is 200 N, what is the mechanical advantage of the system? A. 1 B. 2 C. 3 D. 4 None 35. CAST: Mechanical Concepts A pressure gauge connected to a tank containing a gas reads 300 kPa. If the atmospheric pressure is 100 kPa, what is the absolute pressure of the gas in the tank? A. 200 kPa B. 300 kPa C. 400 kPa D. 500 kPa None 36. CAST: Mechanical Concepts In a compound gear train, Gear A has 40 teeth and is meshed with Gear B which has 20 teeth. Gear B is on the same shaft as Gear C, which has 30 teeth and meshes with Gear D having 15 teeth. What is the overall gear ratio of the system? A. 2:01 B. 4:01 C. 6:01 D. 8:01 None 37. CAST: Mechanical Concepts In a mechanical system, what component is typically used to convert rotary motion into linear motion? A. Gear B. Pulley C. Cam D. Bearing None 38. CAST: Mechanical Concepts Which type of bearing is specifically designed to support axial loads? A. Deep groove ball bearing B. Tapered roller bearing C. Spherical roller bearing D. Thrust bearing None 39. CAST: Mechanical Concepts What is the primary function of a hydraulic fluid in a hydraulic system? A. Lubrication B. Cooling C. Power transmission D. Sealing None 40. CAST: Mechanical Concepts Which mechanical device is used to increase the magnitude of torque or rotational force? A. Lever B. Spring C. Gearbox D. Valve None 41. CAST: Mechanical Concepts A pulley system is designed to lift a 200-pound weight using a force of 50 pounds. How many pulleys are needed in the system? A. 2 B. 3 C. 4 D. 5 None 42. CAST: Mechanical Concepts In a hydraulic system, a small piston with a diameter of 2 inches is used to lift a large piston with a diameter of 8 inches. What force must be applied to the small piston to lift a 1600-pound weight on the large piston? A. 100 pounds B. 200 pounds C. 400 pounds D. 800 pounds None 43. CAST: Mechanical Concepts A gear system consists of a 20-tooth drive gear and a 60-tooth driven gear. If the drive gear rotates at 120 RPM, what is the rotation speed of the driven gear? A. 40 RPM B. 60 RPM C. 80 RPM D. 360 RPM None 44. CAST: Mechanical Concepts A lever with a length of 5 feet has the fulcrum placed 1 foot from the load. If the effort arm is 4 feet long, what effort force is needed to lift a 200-pound load? A. 40 pounds B. 50 pounds C. 100 pounds D. 160 pounds None 45. CAST: Mechanical Concepts A screw has a pitch of 0.1 inches, meaning it moves forward 0.1 inches for every complete turn. If the screw is turned 50 times, how far will it have moved? A. 2 inches B. 5 inches C. 10 inches D. 20 inches None 46. CAST: Mechanical Concepts A beam is supported at both ends and a force is applied in the middle. If the length of the beam is 10 feet and the force applied is 100 pounds, what is the moment at the supports? A. 250 foot-pounds B. 500 foot-pounds C. 1000 foot-pounds D. 2000 foot-pounds None 47. CAST: Mechanical Concepts A cylindrical tank is filled with water through a pipe at the rate of 5 cubic feet per minute. If the tank's diameter is 10 feet and its height is 20 feet, how long will it take to fill the tank completely? A. 60 minutes B. 100 minutes C. 200 minutes D. 400 minutes None 48. CAST: Mechanical Concepts A belt connects two pulleys with diameters of 2 inches and 4 inches, respectively. If the smaller pulley rotates at 200 RPM, what is the rotational speed of the larger pulley? A. 50 RPM B. 100 RPM C. 200 RPM D. 400 RPM None 49. CAST: Mechanical Concepts In a fluid system, if the pressure at one point is 50 PSI and the flow rate is 10 gallons per minute, what will be the flow rate if the pressure is increased to 100 PSI? A. 5 gallons per minute B. 10 gallons per minute C. 14.14 gallons per minute D. 20 gallons per minute None 50. CAST: Mechanical Concepts A wheel and axle mechanism is used to raise a weight. If the radius of the wheel is 2 feet and the radius of the axle is 0.5 feet, what effort is needed to lift a 100-pound weight? A. 25 pounds B. 50 pounds C. 100 pounds D. 200 pounds None 51. CAST: Mechanical Concepts If a force of 10 pounds is applied to a 6-inch long wrench to loosen a bolt, what is the torque applied to the bolt in foot-pounds? A. 5 foot-pounds B. 10 foot-pounds C. 30 foot-pounds D. 60 foot-pounds None 52. CAST: Mechanical Concepts A centrifugal pump is operating at a speed of 1200 RPM and delivering a flow rate of 300 gallons per minute. If the pump speed is increased to 1800 RPM, what will be the new flow rate, assuming pump efficiency remains constant? A. 450 gallons per minute B. 600 gallons per minute C. 900 gallons per minute D. 1200 gallons per minute None 53. CAST: Mechanical Concepts A pressurized container has a safety valve set to release at 150 PSI. If the area of the valve opening is 0.1 square inches, what is the force exerted by the pressurized gas on the valve at the moment it opens? A. 15 pounds B. 150 pounds C. 15,000 pounds D. 1,500 pounds None 54. CAST: Mechanical Concepts An electric motor applies a torque of 50 Newton-meters to a gear with a radius of 0.5 meters. What is the angular velocity of the gear if it is delivering 100 Watts of power? A. 20 radians per second B. 40 radians per second C. 200 radians per second D. 400 radians per second None 55. CAST: Mechanical Concepts In a hydraulic brake system, the master cylinder has a diameter of 1 inch, and the slave cylinder has a diameter of 2 inches. If the force applied to the master cylinder is 10 pounds, what is the force exerted by the slave cylinder? A. 10 pounds B. 20 pounds C. 40 pounds D. 80 pounds None 56. CAST: Mechanical Concepts A worm gear reduces the speed of an input shaft from 1800 RPM to 200 RPM. What is the gear ratio? A. 9:01 B. 8:01 C. 10:01 D. 12:01 None 57. CAST: Mechanical Concepts If a force of 200 Newtons is applied at the end of a 2-meter long lever arm to lift a weight, and the lever is balanced with the fulcrum 0.5 meters from the weight, what is the weight being lifted? A. 50 Newtons B. 200 Newtons C. 800 Newtons D. 400 Newtons None 58. CAST: Mechanical Concepts A fan is connected to a motor by a belt. If the diameter of the motor pulley is 4 inches and the diameter of the fan pulley is 2 inches, and the motor runs at 1800 RPM, what is the RPM of the fan? A. 900 RPM B. 1800 RPM C. 3600 RPM D. 7200 RPM None 59. CAST: Mechanical Concepts A hydraulic press has a force output of 10,000 pounds. If the input piston has an area of 1 square inch and the output piston has an area of 100 square inches, what is the input force required? A. 100 pounds B. 200 pounds C. 1,000 pounds D. 10,000 pounds None 60. CAST: Mechanical Concepts An inclined plane has a height of 2 meters and a length of 10 meters. If a force of 50 Newtons is required to push an object up the plane, what is the weight of the object? A. 10 Newtons B. 100 Newtons C. 250 Newtons D. 500 Newtons None 61. CAST: Mechanical Concepts A U-shaped tube is filled with water, and one end is connected to a vacuum that reduces the pressure by 1 atmosphere (approximately 101.3 kP A. If the atmospheric pressure is considered to be 101.3 kPa, how high will the water rise in the tube due to the vacuum? A) 10.3 meters B. 1.03 meters C. 10.3 centimeters D. 103 meters None 62. CAST: Mechanical Concepts A car's wheel has a radius of 0.3 meters, and the engine applies a torque of 200 Newton-meters to the wheel. If the car is in a state of static friction with the coefficient of friction being 0.8, what is the maximum force that can be applied to the car before it starts to move? A. 480 Newtons B. 533 Newtons C. 600 Newtons D. 666 Newtons None 63. CAST: Mechanical Concepts A four-bar linkage mechanism consists of four bars linked in a loop, with one bar fixed. If the lengths of the bars are 2, 3, 4, and 5 meters, respectively, and the input angle for the shortest bar is 30 degrees, what is the output angle of the opposite bar, assuming ideal conditions? A. 45 degrees B. 60 degrees C. 75 degrees D. 90 degrees None 64. CAST: Mechanical Concepts A pinion gear with 10 teeth meshes with a rack. If the pinion rotates 360 degrees, how far in millimeters does the rack move, assuming the pitch of the gear is 5 mm? A. 50 mm B. 100 mm C. 150 mm D. 200 mm None 65. CAST: Mechanical Concepts In a cam and follower mechanism, the cam has a base circle diameter of 50 mm and a lift of 20 mm. What is the maximum diameter of the cam? A. 70 mm B. 90 mm C. 110 mm D. 130 mm None 66. CAST: Mechanical Concepts A fluid is flowing through a pipe with a diameter of 100 mm at a velocity of 2 m/s. If the diameter of the pipe is reduced to 50 mm, what is the new velocity of the fluid, assuming incompressible flow? A. 1 m/s B. 4 m/s C. 8 m/s D. 16 m/s None 67. CAST: Mechanical Concepts A belt transfers power from a drive pulley with a diameter of 300 mm to a driven pulley with a diameter of 600 mm. If the drive pulley is rotating at 1500 RPM, what is the torque on the driven pulley, assuming 90% efficiency and no slip? A. Half the torque of the drive pulley B. The same as the torque of the drive pulley C. Twice the torque of the drive pulley D. Four times the torque of the drive pulley None 68. CAST: Mechanical Concepts A load is lifted by a crane using a steel cable that is wound around a drum with a radius of 1 meter. If the tension in the cable is 1000 N and the drum rotates 10 times to lift the load to the desired height, what is the work done by the crane? A. 10,000 Joules B. 20,000 Joules C. 62,800 Joules D. 31,400 Joules None 69. CAST: Mechanical Concepts A spherical tank has a radius of 2 meters and is filled with a fluid at a pressure of 100 kPa. What is the total force exerted by the fluid on the top hemisphere of the tank? A. 400? kN B. 800? kN C. 1200? kN D. 1600? kN None 70. CAST: Mechanical Concepts A car's engine generates 200 Nm of torque and is connected to wheels of radius 0.3 m. What is the maximum force that can be exerted on the road by the wheels? A. 600 N B. 666.67 N C. 750 N D. 833.33 N None 71. CAST: Mechanical Concepts In a gear train consisting of 3 gears, the first gear has 10 teeth and is rotating at 1000 RPM. The second gear has 20 teeth and the third gear has 30 teeth. What is the rotational speed of the third gear? A. 333.33 RPM B. 500 RPM C. 750 RPM D. 1000 RPM None 72. CAST: Mechanical Concepts A column is subjected to a compressive load of 100 kN and has a cross-sectional area of 200 mm^2. What is the stress in the column? A. 0.5 MPa B. 5 MPa C. 50 MPa D. 500 MPa None 73. CAST: Mechanical Concepts A fan blade rotates at a speed of 1200 RPM. If the tip of the blade is 0.75 meters from the center, what is the linear velocity of the tip? A. 90 m/s B. 180 m/s C. 270 m/s D. 360 m/s None 74. CAST: Mechanical Concepts A pulley system consists of a fixed pulley and a movable pulley to lift a load. If the effort required to lift a 400 N load is 200 N, what is the mechanical advantage of the system? A. 1 B. 2 C. 3 D. 4 None 75. CAST: Mechanical Concepts A pressure gauge connected to a tank containing a gas reads 300 kPa. If the atmospheric pressure is 100 kPa, what is the absolute pressure of the gas in the tank? A. 200 kPa B. 300 kPa C. 400 kPa D. 500 kPa None 76. CAST: Mechanical Concepts In a compound gear train, Gear A has 40 teeth and is meshed with Gear B which has 20 teeth. Gear B is on the same shaft as Gear C, which has 30 teeth and meshes with Gear D having 15 teeth. What is the overall gear ratio of the system? A. 2:01 B. 4:01 C. 6:01 D. 8:01 None 77. CAST: Mechanical Concepts In a mechanical system, what component is typically used to convert rotary motion into linear motion? A. Gear B. Pulley C. Cam D. Bearing None 78. CAST: Mechanical Concepts Which type of bearing is specifically designed to support axial loads? A. Deep groove ball bearing B. Tapered roller bearing C. Spherical roller bearing D. Thrust bearing None 79. CAST: Mechanical Concepts What is the primary function of a hydraulic fluid in a hydraulic system? A. Lubrication B. Cooling C. Power transmission D. Sealing None 80. CAST: Mechanical Concepts Which mechanical device is used to increase the magnitude of torque or rotational force? A. Lever B. Spring C. Gearbox D. Valve None 81. CAST: Mechanical Concepts In pneumatic systems, what is the common use of an air compressor? A. To filter the air B. To cool the air C. To increase air pressure D. To measure air flow None 1 out of 81 Time is Up! Time's up
