How many gallons per minute are in 3.2 cubic feet per second?

To determine how many gallons per minute are in 3.2 cubic feet per second, we need to convert cubic feet per second to gallons per minute.

First, it’s essential to know the conversion factors:

1 cubic foot is equivalent to approximately 7.48 gallons, and there are 60 seconds in a minute.

Starting with the flow rate in cubic feet per second:

1. Convert 3.2 cubic feet to gallons:

( 3.2 \text{ cubic feet} \times 7.48 \text{ gallons/cubic foot} \approx 23.936 \text{ gallons} )

2. Now convert this to gallons per minute:

( 23.936 \text{ gallons/second} \times 60 \text{ seconds/minute} \approx 1436.16 \text{ gallons/minute} )

Rounding this to the nearest whole number gives 1,436 gallons per minute. This matches the value of the first choice, confirming its accuracy.

Understanding the conversion process and the numerical relationships between these units illustrates the depth of knowledge in fluid flow and volume calculations, which are crucial in fields related to water management and environmental science.