Solveeit Logo

Question

Question: In hydraulic press radii of connecting pipes r<sub>1</sub> and r<sub>2</sub> are in ratio 1 : 2. In ...

In hydraulic press radii of connecting pipes r1 and r2 are in ratio 1 : 2. In order to lift a heavy mass M on larger piston, the small piston must be pressed through a minimum force f equal to –

A

Mg

B

Mg/2

C

Mg/4

D

Mg/8

Answer

Mg/4

Explanation

Solution

According to Pascal’s principle

r12r22\frac { \mathrm { r } _ { 1 } ^ { 2 } } { \mathrm { r } _ { 2 } ^ { 2 } } = 14\frac { 1 } { 4 }

f1 = 14\frac { 1 } { 4 } Mg