Convert 3.5810-3 m3/s to L/min.
Convert 5.2610-6 m3/s to L/min.
Convert 459 gal/min to ft3/s.
The Correct Answer and Explanation is :
Answers:
- 3.58×10−33.58 \times 10^{-3} m³/s = 214.8 L/min
- 5.26×10−65.26 \times 10^{-6} m³/s = 0.3156 L/min
- 459 gal/min = 1.023 ft³/s
Explanation:
Converting cubic meters per second to liters per minute:
1 cubic meter (m³) is equal to 1000 liters (L). Also, 1 minute is 60 seconds. Thus, to convert from m³/s to L/min, we use: Flow Rate in L/min=Flow Rate in m³/s×1000×60\text{Flow Rate in L/min} = \text{Flow Rate in m³/s} \times 1000 \times 60
For 3.58×10−33.58 \times 10^{-3} m³/s: 3.58×10−3×1000×60=214.8 L/min3.58 \times 10^{-3} \times 1000 \times 60 = 214.8 \text{ L/min}
For 5.26×10−65.26 \times 10^{-6} m³/s: 5.26×10−6×1000×60=0.3156 L/min5.26 \times 10^{-6} \times 1000 \times 60 = 0.3156 \text{ L/min}
Converting gallons per minute to cubic feet per second:
1 US gallon = 0.133681 ft³, and 1 minute = 60 seconds. Thus, to convert gal/min to ft³/s: Flow Rate in ft³/s=Flow Rate in gal/min×0.133681×160\text{Flow Rate in ft³/s} = \text{Flow Rate in gal/min} \times 0.133681 \times \frac{1}{60}
For 459 gal/min: 459×0.133681×160=1.023 ft³/s459 \times 0.133681 \times \frac{1}{60} = 1.023 \text{ ft³/s}
This method ensures accurate unit conversions using standard conversion factors.
Now, I’ll generate an image illustrating these conversions.
Here is an educational infographic illustrating the fluid flow rate conversions. It visually represents the unit transformations, including cubic meters per second to liters per minute and gallons per minute to cubic feet per second, along with example calculations and formulas. Let me know if you need any modifications or further explanations!