what is the water flow ratein a 24 in. diamiter pipe in gpm. when the flow velocity is 3.0 ft per second

you want gal/s, so start converting, using what you have:

3.0 ft/s * 144pi ft^2 = 1357.17 ft^3/s
1gal = 231 in^3, so you have

1357.17 ft^3/s * 1728in^3/ft^3 * 1gal/231in^3 = 10152.32gal/s

oops. you want gal/min, so multiply by 60s/min

To calculate the water flow rate in gallons per minute (GPM) in a 24-inch diameter pipe with a flow velocity of 3.0 ft per second, you need to use the formula for flow rate.

The formula to calculate flow rate is:
Q = A * V

Where:
Q = Flow rate (GPM)
A = Cross-sectional area of the pipe (square feet)
V = Flow velocity (feet per second)

To find the cross-sectional area (A) of a pipe, you can use the formula:
A = (π * D^2) / 4

Where:
A = Cross-sectional area
D = Diameter of the pipe

Step 1: Convert the diameter of the pipe to feet:
24 inches = 2 feet (since there are 12 inches in a foot)

Step 2: Calculate the cross-sectional area (A):
A = (π * D^2) / 4
= (π * (2^2)) / 4
= (π * 4) / 4
= π square feet (since π is approximately 3.14159)

Step 3: Calculate the flow rate (Q):
Q = A * V
= π * V

To find the water flow rate in GPM, you can multiply the flow rate (Q) by a conversion factor. The conversion factor for converting cubic feet per second (cfs) to gallons per minute (GPM) is approximately 448.8.

Therefore, the water flow rate in GPM can be calculated by multiplying the flow rate (Q) by the conversion factor:

Water flow rate (GPM) = Q * 448.8

Please note that we have not used the value of the flow velocity (V) given in the question, as the flow velocity alone is not sufficient to calculate the flow rate without knowing the diameter of the pipe or the cross-sectional area.

If you provide the necessary values, we can help you calculate the water flow rate in GPM using the above steps.