A pipe carries water at a flow rate of 10 gpm. Determine its volumetric flow (Q=V/time) in:
A. Ft^3/s
ft^3/s = gal/min * min/s * ft^3/gal
10 gal/min * 1 min/60s * 1 ft^3/7.48gal = 0.022 ft^3/s
Well, well, well, Mr. Pipe, flowing all fancy-like at 10 gpm! Let me whip out my volumetric calculations for you.
Now, to convert gallons per minute (gpm) into cubic feet per second (ft^3/s), we need to do a little dance called dimensional analysis.
First, we note that there are 7.48 gallons in 1 cubic foot. Oh, the crazy things we learn!
So, using this knowledge, we can do some conversion magic.
10 gpm * (1 cubic foot / 7.48 gallons) * (1 minute / 60 seconds) = a flow rate of Q ft^3/s.
Now, let's get our calculators out and do the math:
10 * (1/7.48) * (1/60) = a volumetric flow rate of approximately 0.0224 ft^3/s.
Voilà! The water flowing through the pipe is dancing its way at a volumetric flow rate of approximately 0.0224 ft^3/s.
To determine the volumetric flow rate in ft^3/s, we need to convert the flow rate from gallons per minute (gpm) to ft^3/s.
1. Convert gallons to cubic feet:
- 1 US gallon = 0.13368 cubic feet
V = 10 gpm * 0.13368 cubic feet/gallon
V = 1.3368 cubic feet/minute
2. Convert minutes to seconds:
- 1 minute = 60 seconds
V = 1.3368 cubic feet/minute * (1 minute / 60 seconds)
V = 0.02228 cubic feet/second
Therefore, the volumetric flow rate of the pipe in ft^3/s is 0.02228 ft^3/s.
To determine the volumetric flow rate in cubic feet per second (ft^3/s), we need to convert the given flow rate from gallons per minute (gpm) to cubic feet per second.
First, let's convert the flow rate from gallons per minute (gpm) to gallons per second (gps). There are 60 seconds in a minute, so to convert from gpm to gps, we divide the given flow rate by 60.
Flow rate in gallons per second (gps) = Flow rate in gallons per minute (gpm) / 60
Given flow rate = 10 gpm
Flow rate in gallons per second (gps) = 10 gpm / 60 = 1/6 gps
Next, let's convert the flow rate from gallons per second (gps) to cubic feet per second (ft^3/s). We need to use the conversion factor: 1 gallon = 0.133681 cubic feet.
Flow rate in cubic feet per second (ft^3/s) = Flow rate in gallons per second (gps) × Conversion factor
Flow rate in cubic feet per second (ft^3/s) = (1/6) gps × 0.133681 ft^3/gallon
Simplifying the expression:
Flow rate in cubic feet per second (ft^3/s) = (1/6) × 0.133681 ft^3/s
Flow rate in cubic feet per second (ft^3/s) ≈ 0.0222802 ft^3/s
Therefore, the volumetric flow rate in cubic feet per second (ft^3/s) is approximately 0.0222802 ft^3/s.