What is the flow rate in gpm of a sludge pump with a bore of 10 inches operating at 32 strokes/minute?

To determine the flow rate of a sludge pump, you can use the formula that incorporates the bore size, stroke rate, and the volume displaced per stroke.

First, calculate the area of the pump bore in square inches. The area (A) can be calculated using the formula:

[ A = \pi \times (r^2) ]

Where r is the radius (which is half the diameter). Since the bore is 10 inches, the radius is 5 inches:

[ A = \pi \times (5^2) = \pi \times 25 \approx 78.54 \text{ square inches} ]

Next, to find the volume displaced by the pump per stroke, multiply the area by the stroke length. Since we are not given a specific stroke length, we can assume a standard stroke length of 1 foot (12 inches) for simplicity in this example. Thus, the volume per stroke in cubic inches would be:

[ \text{Volume per stroke} = A \times \text{Stroke Length} = 78.54 \times 12 \approx 942.48 \text{ cubic inches} ]

The total volume displaced per minute can be calculated by multiplying the volume per stroke