What is the new output in gallons per minute (gpm) when a pump is increased from 1170 RPMs to 1750 RPMs?

To determine the new output in gallons per minute (gpm) when the pump speed is increased from 1170 RPM to 1750 RPM, it is important to understand the relationship between pump speed and flow rate. The flow rate of a centrifugal pump is directly proportional to its speed (RPM) when other factors remain constant.

One way to calculate the new output is to use the formula that relates the speeds and flow rates:

[

\frac{Q_1}{Q_2} = \frac{N_1}{N_2}

]

where (Q_1) is the original flow rate, (Q_2) is the new flow rate, (N_1) is the original RPM, and (N_2) is the new RPM. In this case, if we assume the initial flow rate at 1170 RPM is 500 gpm (based on the multiple-choice context), we can set up the equation as follows:

[

\frac{500 \text{ gpm}}{Q_2} = \frac{1170 \text{ RPM}}{1750 \text{ RPM}}

]

Solving for (Q_2):

[

Q_