Pump output

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  • #1
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The cylinder of a pump has a 6 inch diameter. The stroke is 8 inches in length with 200 strokes per minute. Find the output of the pump in gallons per minute.
 

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  • #2
EnumaElish
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Output in gal/min = cylinder volume (in gals.) * number of strokes per min.
 
  • #3
Ouabache
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As a followup to EnumaElish's reply.. Are you in good shape finding the volume of the cylinder?http://www.mathleague.com/help/geometry/3space.htm#cylinder [Broken]
The question states the diameter, all you need is the length (which is implied in the problem description)
 
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  • #4
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check my answer

EnumaElish said:
Output in gal/min = cylinder volume (in gals.) * number of strokes per min.
-----------------------------------------------------------------------
:smile: undefined

Can yourself EnumaElish check my answer?

v = pi * r^2 * h
= (3.140) * (3^2) * (8)
= 226 cubic inches in each stroke

Total = 226 cubic inches x 200 strokes = 45,200 cubic inches

convert cubic inches to gallons ; 1 gallon = 231 cubic inches

45,200 cubic inches
------------------
231 cubic inches

= 196 gallons

Is this correct? Please post.
 
  • #5
EnumaElish
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scientist said:
= 196 gallons

Is this correct? Please post.
It looks right to me, with the minor edit that it's 196 gals. per minute. Anyone else care to comment?
 
Last edited:
  • #7
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Correct, provided 200 is the no.of discharge strokes per minute, otherwise half the flowrate.
 

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