Question

The unit for volume flow rate is gallons per minute, but cubic feet per second is preferred. Use the conversion factor tables in Appendix A to obtain a conversion

Answer 1

The conversion factor is 0.00223 ( 1 gallon per minute equals 0.00223 cubic feet per second)

Step-by-step explanation:

Since the given volume flow rate is gallons per minute.

We know that 1 gallon = 3.785 liters and

1 minute = 60 seconds

Let the flow rate be
`Q(gallons)/(minute)`

Now replacing the gallon and the minute by the above values we get

`Q'=Q(gallon)/(minute)* (3.785liters)/(gallon)* (1minute)/(60seconds)`

Thus
`Q'=0.631Q(liters)/(second)`

Now since we know that 1 liter =
`0.0353ft^(3)`

Using this in above relation we get

`Q'=0.631Q(liters)/(second)* (0.0353ft^3)/(liters)\\\\\therefore Q'=0.00223Q`

From the above relation we can see that flow rate of 1 gallons per minute equals flow rate of 0.00223 cubic feet per second. Thus the conversion factor is 0.00223.