Question

Two cylindrical vessels fitted with piston A and B of area of cross section 8cm² and 320 cm² respectively,are joined at their bottom by tube and they are completley filled with water. When a mass of 4Kg is placed on piston A , find : (1.)pressure on piston A ( 2.) pressure on point B (3.) thrust on piston B​

Answer 1

Let E be the effort applied on the smaller piston A and L be the load required on the larger piston B.  

Area of cross section of pistion A=8cm  

2

 

Area of cross section of pistion A=320cm  

2

 

(i) Pressure acting on piston A in the downward direction =Thrust/Area=E/8=4/8=0.5

∴Pressure acting on water =E/8=0.5 (according to Pascal's Law)

(ii) ∴ Pressure acting on piston B=E/8=0.5 (according to Pascal's Law)

(iii) Thrust acting on piston B in the upward direction =Pressure  ×Area  ofB

=  

8

E×320

​  

=160

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