How long must a one-cylinder reciprocating sludge pump be operated to pump 5,000 gallons of sludge if it operates at 50 cycles per minute?

To determine how long a one-cylinder reciprocating sludge pump must operate to pump 5,000 gallons at a rate of 50 cycles per minute, we first need to establish the pump's displacement per cycle.

Assuming the pump has a specific displacement volume that allows us to calculate how many cycles are required to move 5,000 gallons, we can proceed with the time calculation once we know how much volume the pump moves per cycle. For instance, if the pump's displacement is known, we can find the total volume in gallons that would be moved in one minute by multiplying the displacement by the number of cycles per minute (50).

Next, we divide the total volume required (5,000 gallons) by the flow rate (in gallons per minute) to get the total time in minutes required to pump that volume.

Through this calculation process, when you derive that it takes 60 minutes to achieve this volume under the given operating conditions, it confirms that the pump's efficiency and operational capacity align with this timeframe.

Thus, the time needed for the sludge pump to pump 5,000 gallons at a rate of 50 cycles per minute is accurately calculated to be 60 minutes.