What is the conversion of 1 ft³/sec in gal/min?

To convert cubic feet per second (ft³/sec) to gallons per minute (gal/min), it’s essential to use the conversion factors between these two units.

First, understand that there are 7.48 gallons in 1 cubic foot. To convert cubic feet to gallons, you multiply the volume in cubic feet by 7.48. Since the given rate is in seconds and we want to convert it to minutes, we also need to account for the fact that there are 60 seconds in a minute.

Using these conversion factors, the calculation is as follows: 1 ft³/sec = 7.48 gallons/ft³ × 60 sec/min = 448.8 gal/min.

This shows that the conversion from 1 ft³/sec results in 448.8 gallons per minute, confirming that the correct answer is the option representing 448.8 gal/min. This understanding of inter-unit conversion is fundamental in hydraulics, fluid mechanics, and various applications within engineering disciplines.