Physics · Pressure due to a fluid column, Pascal's law and its applications, effect of gravity on fluid pressure

The radii of the press plunger and the pump plunger are in the ratio If an effor

The radii of the press plunger and the pump plunger are in the ratio \( 30: 4 . \) If an effort of 32 kgf acts on the pump plunger. Find the maximum effort the press plunger can overcome.

  • A. \( 1600 \mathrm{kgf} \)
  • B. 1700 kgf
  • C. \( 1800 \mathrm{kgf} \)
  • D. 1900 kgf

Step-by-step solution

Using Pascal's law for hydraulic press, the force is proportional to area. Radii ratio 30:4 gives area ratio (30^2)/(4^2)=900/16=56.25. Effort on pump plunger = 32 kgf, so force on press plunger = 32 * 56.25 = 1800 kgf.
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