In a hydraulic cylinder, if the piston diameter doubles while pressure remains the same, output force increases by what factor?

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Multiple Choice

In a hydraulic cylinder, if the piston diameter doubles while pressure remains the same, output force increases by what factor?

Explanation:
The output force in a hydraulic cylinder is proportional to the piston area times the pressure, F = P × A. The piston area scales with the square of the diameter, since A = π(D/2)², so A ∝ D². When the diameter doubles, the area becomes four times larger. With pressure unchanged, the output force also increases by a factor of four.

The output force in a hydraulic cylinder is proportional to the piston area times the pressure, F = P × A. The piston area scales with the square of the diameter, since A = π(D/2)², so A ∝ D². When the diameter doubles, the area becomes four times larger. With pressure unchanged, the output force also increases by a factor of four.

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