Fluid Mechanics

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STATIC PRESSURE OF LIQUIDS, HYDRAULIC PRESSURE, ABSOLUTE AND GAUGE PRESSURE:

Numerical

Q1. A hydraulic press has a diameter ratio between the two piston of 8:1. The diameter of the larger piston is 600 mm and it is required to support a mass of 3500 kg. The press filled with hydraulic fluid of sp.gravity 0.8. Calculate the force required on the smaller piston to provide the required force: a) When the two pistons are at the same level. B) When the smaller piston is 2.6 m below the larger piston.

Solution.



















                                                           

F2=536.48N





















F2=625.94N

Q2. The diameter of the piston of a hydraulic jack is 6 times greater than the diameter of the plunger which is 200 mm. They are both at same height and made of same material. The piston weighs 100 N and supports a mass of 50 kg. The jack is filled with oil of density 900 kg/m3. Calculate the force required at the plunger to support the piston and mass if carries at a level 10 cm above that of plunger.

Solution:
























Q3. The ratio of the diameter of plunger and ram is 1:5, the diameter of plunger is 40 mm; find the weight lifted by the hydraulic press when the force is applied at plunger is 500 N.


Solution.    P1 = P2













F1 =62500N

Location: United States

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