296 EXAMPLES. 



14. If the diameter be 3 inches, the height of the water 

 in the pump 27 feet 5 inches, the lever handle 4 feet, and 

 the distance from the fulcrum to the end of the piston rod 

 4 inches, find the force necessary to work the pump-handle. 



Ans. 9| Ibs. 



15. The height of the column of water is 60 feet above 

 the well, the piston has a diameter of 3 inches, the pump- 

 handle is 3 feet from the fulcrum, and the distance of the 

 fulcrum from the piston rod is 3 inches ; find the force 

 necessary to work the pump. Ans. 15.3 Ibs. 



16. If the height of the cistern above the well be 25 feet, 

 the diameter of the piston 2 inches, and the leverage of the 

 handle 12 : 1, find the force necessary to use in pumping. 



Ans. 2.83 Ibs. 



17. If the height of the cistern be 42 feet, the diameter 

 of the piston 4 inches, the length of the handle 49 inches, 

 and the distance of the fulcrum from the piston rod 3 

 inches, find the force. Ans. 20.65 Ibs. 



18. The diameter of the piston of a lifting pump is 1 foot, 

 the piston range is 2 feet, and it makes 8 strokes per 

 minute; find the weight of water discharged per minute, 

 supposing that the highest level of the piston range is less 

 than 33 feet above the surface in the reservoir (h = 33 

 feet). Ans. 312.57T Ibs., or about 983 Ibs. 



19. If in working the pump of Ex. 18, the lower level of 

 the piston range be 31 feet above the surface in the reser- 

 voir, find the weight of water discharged per minute. 



Ans. 187.57rlbs. 



20. In a Bramah's press FO = I inch, FH = 4 inches, 

 the diameter of A = 4 inches, and diameter of C = $ an 

 inch ; find the force on A produced by a force of 2 Ibs. 

 applied at H* Ans, 512 Ibs. 



