Numericals
Two cylindrical vessels fitted with piston a and b are you of cross section 8 cm² and 320 cm² respectively ,are joined at their bottom by a tube and they are completely filled with water. when a mass of 4 kg is placed on piston A, find :
i) the pressure on piston A,
ii) the pressure on piston B, and
iii) the thrust on piston B.
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Answer:
Given
Force applied to the smaller piston A=4 kg
Area of cross section of piston A=8 cm2
Area of cross section of piston B=320 cm2
(i) Pressure acting on piston A in the downwar direction=AreaThrust
=84=0.5 kg/cm2
∴ Pressure acting on piston A=0.5 kg/cm2
(ii) according to pascal's law
Pressure acting on piston A= Pressure acting on piston B=0.5 kg/cm2
(iii) Thrust acting on piston B in the upward direction=Presuure×Area ofB
=4×832=160 kg
∴ Thrust acting on piston B in the upward direction=160 kg
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