If you have a simplex single acting...

Question 1 of 270705eccef9dbacbc34ba4d45e19

If you have a simplex single acting reciprocating pump making 150 strokes/minute, with a 5" diameter cylinder, a 11" stroke and operating with 85% volumetric efficiency, what is the capacity of this pump?

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Question 1 of 27070

🔍 Key Concepts

• Single-acting reciprocating pump displacement (one delivery per stroke) • How to calculate cylinder volume per stroke using diameter and stroke length • Applying volumetric efficiency and converting cubic inches per minute to gallons per minute (gpm)

💭 Think About

• First, find the volume moved by the piston in one stroke using the cylinder diameter and stroke length—what geometric formula do you need? • Next, multiply the volume per stroke by the number of strokes per minute to get an ideal flow rate—what units do you have now? • Finally, adjust for 85% volumetric efficiency and convert your flow rate to gallons per minute. Which choice matches your final value?

✅ Before You Answer

• Be sure you use the area of a circle for the piston face: $A = \pi r^2$ with radius in inches • Confirm that your volume is in cubic inches per minute before converting to gallons (1 gallon ≈ 231 in³) • Remember this is single-acting, so only one delivery per stroke—do not accidentally double the flow for a return stroke