If you have a simplex single acting...

Question 1 of 270705eccef9dbacbc34ba4d45e1c

If you have a simplex single acting reciprocating pump making 190 strokes/minute, with a 5 inch diameter cylinder, a 12 inch stroke and operating with 75% volumetric efficiency, what is the capacity of this pump?

Back

Question 1 of 27070

🔍 Key Concepts

• Simplex single-acting pump – only one cylinder, and it delivers on just one stroke (either forward or return) • Pump capacity formula – based on cylinder area × stroke length × strokes per minute × volumetric efficiency • Unit conversions – converting cubic inches per minute to gallons per minute (gpm) using 231 in³ = 1 gallon

💭 Think About

• First, find the area of the cylinder using the 5 inch diameter, then multiply by the stroke length to get volume per stroke in cubic inches. What formula do you use for the area of a circle? • Next, multiply the volume per stroke by the number of effective delivery strokes per minute for a simplex single-acting pump. Does it pump on every stroke or only one direction? • Apply the 75% volumetric efficiency to the theoretical capacity, then convert from cubic inches per minute to gallons per minute. Which choice is closest to your final number?

✅ Before You Answer

• Confirm you used the correct πr² formula with radius (half the diameter), not the full diameter, when finding area. • Make sure you used only one delivery stroke per revolution because it is single-acting, not double-acting. • Verify your unit conversion from in³/min to gpm using 231 in³ = 1 gallon, and then compare to the multiple-choice options.