Subtopic: Sources of power on the farm – human, animal, mechanical, electrical, wind, solar and biomass
Question Statement:
A double acting hydraulic cylinder has a rod diameter equal to one-half the piston diameter. If the system pressure is maintained constant, the ratio of load carrying capacity of extension stroke to that of retraction stroke is
Options:
(A) 0.75
(B) 1.00
(C) 1.33
(D) 4.00
Official Answer Key:
C
Step-by-Step Solution & Explanation
Extension stroke: fluid acts on the full piston area, A_piston = (π/4)D².
Retraction stroke: fluid acts on the annular area (piston minus rod), A_annulus = (π/4)(D²−d²), with d = D/2.
A_annulus = (π/4)(D² − D²/4) = (π/4)(0.75D²) = 0.75×A_piston.
Load capacity ratio (extension/retraction) = A_piston/A_annulus = 1/0.75 = 1.33. Answer: (C).
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