If you have a simplex single acting reciprocating pump making 150 strokes/minute, with a 7" diameter cylinder, a 13" stroke and operating with 95% volumetric efficiency, what is the capacity of this pump?
• How to find the volume displaced per stroke of a reciprocating pump (use cylinder area × stroke length) • Converting cubic inches per minute to gallons per minute (gpm) (remember: 1 gallon = 231 in³) • Applying volumetric efficiency to the theoretical flow to get the actual capacity
• First, compute the area of a 7" diameter circle, then multiply by the 13" stroke to find the volume moved in one stroke. Are your units consistent? • Once you have volume per stroke, how do you use the 150 strokes/min to get total volume per minute? • After finding the theoretical flow in in³/min, how will you convert to gpm and then apply the 95% volumetric efficiency?
• Be sure you use radius = diameter ÷ 2 when computing area: A = πr² • Confirm you multiply by strokes per minute (150) before converting to gallons • Don’t forget to multiply your final theoretical gpm by 0.95 to account for volumetric efficiency
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