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Question

Draw a simple diagram of a hydraulic jack and explain its working.

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Solution

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The working principle of a hydraulic jack may be explained with the help of Fig. Consider a ram and plunger, operating in two cylinders of different diameters, which are interconnected at the bottom, through a chamber, which is filled with some liquid.

Let

W= Weight to be lifted,

F = Force applied on the plunger,

A = Area of ram, and

a = Area of plunger.

Pressure intensity produced by the force F, p = F/Area of plunger = F/a

As per Pascal’s law, the above intensity p will be equally transmitted in all directions.

Therefore, The pressure intensity on ram = p = F/a = W/A or W= F(A/a)

Above Equation indicates that by applying a small force F on the plunger, a large force W may be developed by the ram.

Mechanical advantage of press = A/a

If the force in the plunger is applied by a lever which has a mechanical advantage (L/l) then total mechanical advantage of machine = (L/l)(A/a)

The ratio (L/l) is known as leverage of press.


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