A hydraulic press has a ram of cross-section area 30 × 30 cm and a plunger of cross-section area 4 × 4 cm as shown in figure. Find the force 'F' required to lift the weight 'W' = 30 KN.
F3 Vinanti Engineering 07.12.23 D9

This question was previously asked in
SSC JE (Civil) 2023 Official Paper-II (Held On: 04 Dec, 2023 Shift 1)
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  1. 232.88 N
  2. 533.33 N
  3. 589.58 N 
  4. 481.22 N

Answer (Detailed Solution Below)

Option 2 : 533.33 N
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Detailed Solution

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Concept:

The ratio of force applied in ram to the area of ram is equal to ratio of force applied in plunger to the area of plunger, as the pressure intensity is same.

\(\frac{F_{ram}}{A_{ram}}=\frac{F_{plunger}}{A_{plunger}}\)

Calculation:

Given: \(A_{ram}=30\times30cm\)\(F_{ram}=30kN\) \(A_{plunger}=4\times4cm\), Fplunger=?.

\(F_{plunger}=30\times\frac{4\times4}{30\times30}=0.53333kN=533.33N\)

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