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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.

1. \( 1600 \mathrm{kgf} \)
2. 1700 kgf
3. \( 1800 \mathrm{kgf} \)
4. 1900 kgf

Correct answer: \( 1800 \mathrm{kgf} \)

Solution

In a hydraulic press, the force ratio equals the ratio of piston areas. Since area is proportional to the square of radius, the force multiplication is \((30/4)^2\). Multiplying this by 32 kgf gives 1800 kgf.

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