Final answer:
To pump water from a depth of 150 feet, a minimum of approximately 2,080 gallons per minute (GPM) is required.
Step-by-step explanation:
To determine the minimum gallons per minute (GPM) required to pump water from a depth of 150 feet, we need to consider the pressure exerted by the column of water.
The pressure exerted at a depth of 150 feet can be calculated using the formula:
Pressure = density x gravity x height
In this case, the density of water is approximately 62.4 pounds per cubic foot, gravity is 32.2 feet per second squared, and the height is 150 feet.
Plugging in these values, we get:
Pressure = 62.4 x 32.2 x 150
Simplifying this expression, we find that the pressure is approximately 299,520 pounds per square foot.
A pump needs to overcome this pressure, and the flow rate required is measured in GPM. The exact conversion rate from pounds per square foot to GPM depends on the efficiency of the pump. However, a rough estimate is that 1 GPM is roughly equal to 1 pound per square inch (PSI).
Therefore, to determine the minimum GPM required, we divide the pressure (in pounds per square foot) by the conversion rate of 1 PSI = 1 GPM. In this case:
Minimum GPM = 299,520 / 144 = 2,080 GPM
So the minimum GPM required for a 150-foot deep pump is approximately 2,080 GPM.
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