Pneumatic Arithmetic: Gauge Pressure and Effective Piston Area

Pneumatic Arithmetic: Gauge Pressure and Effective Piston Area

Original quantitative learning practice in English. All 24 questions are included. Four supplied cases exercise six related calculation targets; they form one topic, not four separate tests. Every question includes the complete initial data. Use the stated model and retain intermediate precision. Choose one answer. Learning target: 20/24, not an official pass mark. This bank covers the calculation topic in its title; it is not a complete professional examination, design approval or operating instruction.
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In an ideal classroom cylinder, cap-side gauge pressure is 450 kPa and the other side is at atmosphere. Piston diameter is 60 mm; rod diameter is 22 mm. Use π=3.1416. Force=gauge pressure in Pa×effective area in m². For a separate retraction calculation apply the same gauge pressure to the rod side and vent the cap side. Ignore friction; this is not brake-service guidance. Calculate the gauge pressure in Pa. Keep intermediate values unrounded; round the final result to four decimal places if necessary.