If you have a simplex single acting...

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Question 1 of 205eccef9dbacbc34ba4d45e1f

If you have a simplex single acting reciprocating pump making 180 strokes/minute, with a 6" diameter cylinder, a 11" stroke and operating with 85% volumetric efficiency, what is the capacity of this pump?

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🔍 Key Concepts

• Reciprocating pump capacity formula in gallons per minute (gpm) • How to compute theoretical displacement per stroke from cylinder diameter and stroke length • Effect of volumetric efficiency on theoretical capacity

💭 Think About

• First, work out the cylinder volume for ONE stroke using the area of the piston and stroke length. What unit must that final volume be in to compare to gpm? • Next, multiply the volume per stroke by the number of strokes per minute. How does volumetric efficiency change this theoretical value? • After you find the capacity in cubic inches per minute, how do you convert cubic inches per minute to gallons per minute?

✅ Before You Answer

• Be sure you are using the radius (half the diameter) when finding piston area, not the full diameter • Convert the stroke length to the same units as the diameter before finding volume per stroke (both in inches). • Confirm you use the correct conversion: 1 gallon = 231 cubic inches and apply the 85% efficiency at the correct step.

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