15.331 WORK = PRESSURE TIMES VOLUME CHANGE (W= P∆V) APPLYING THE FLUIDIC FORMULA W= P∆V WORK OUT PUT ˃ WORK INPUT (W OUT ˃ WIN) AIR SUPPLY REGULATOR 10 PSIG AIR F1 = 100POUNDS F2 ˃ 117 POUNDS STOP START 1” 10 PSIG F1 F2 10 PSIG 10 PSIG FLUID CUSHION TANK FLUID VOLUME CHANGE 10 IN³ PISTON FLUID EACH WALL 10 IN² (1” X 10”) VOLUME CHANGE 9.99 IN³ BOUNDARY FACE 10 IN² DIAMOND-SHAPED ACTUATOR (DSA) 1) The work input is the DSA fluid change volume of 9.99 IN³ through 1" of travel. 2) The work output is the volume of 10 IN³ of fluid pumped out of the piston through 1" of travel. 3) Both the piston and the DSA volumes are at 10 PSIG pressure. 4) Applying the formula W= P∆V, the work output is 100 in-lb and the work input is 99.9 in-lb. 5) Conclusion: In this configuration work output is greater than work input. NOTE: The formula W= P∆V proves that in this mechanical configuration Work output can exceed Work input (WOUT ˃ WIN); however, the magnitude of the benefit is much greater than W= P∆V illustrates, as determined by applying the Work Formula W = FD presented on page 15.332
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