How Do You Calculate GPM From Pump Cylinder Dimensions and Stroke Rate?

[scientist]

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.

 

[EnumaElish]

Output in gal/min = cylinder volume (in gals.) * number of strokes per min.

 

[Ouabache]

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
The question states the diameter, all you need is the length (which is implied in the problem description)

 

[scientist]

check my answer

Output in gal/min = cylinder volume (in gals.) * number of strokes per min.

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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
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231 cubic inches

= 196 gallons

Is this correct? Please post.

 

[EnumaElish]

= 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?

 

[Fermat]

I get the same and that's the correct conversion factor from US liquid gallons to cubic inches.

 

[quark]

Correct, provided 200 is the no.of discharge strokes per minute, otherwise half the flowrate.