Cups per second to Cubic feet per minute conversion

How to convert cups per second to cubic feet per minute?

Converting 1 cup per second to cubic feet per minute involves a few steps because you're converting both the unit of volume (cups to cubic feet) and the unit of time (seconds to minutes).

Conversion factors:

1. Volume Conversion: 1 cup = 0.00835503 cubic feet
2. Time Conversion: 1 second = 1/60 minutes

Step-by-Step Conversion:

1. Convert Cups to Cubic Feet: $1 \text{ cup} = 0.00835503 \text{ cubic feet}$

2. Convert Seconds to Minutes: $1 \text{ second} = \frac{1}{60} \text{ minutes}$

3. Combine the conversions: To find cubic feet per minute, multiply the volume conversion by the time conversion: $1 \text{ cup/second} = 0.00835503 \text{ cubic feet/second}$ $\text{Since 1 second = }\frac{1}{60} \text{ minutes, multiply by 60:}$ $0.00835503 \text{ cubic feet/second} \times 60 \, (\text{seconds per minute}) = 0.5013018 \text{ cubic feet/minute}$

Result:

1 cup per second is equivalent to approximately 0.501 cubic feet per minute.

Real-World Examples:

• 0.5 cups per second: $0.5 \, \text{cups/second} \times 0.5013018 \, \left( \frac{\text{cubic feet}}{\text{cup} \times \text{second}} \right) \times 60 \, (\text{seconds/minute}) = 0.2506509 \text{ cubic feet/minute}$

• 2 cups per second: $2 \, \text{cups/second} \times 0.5013018 \, \left( \frac{\text{cubic feet}}{\text{cup} \times \text{second}} \right) \times 60 \, (\text{seconds/minute}) = 1.0026036 \text{ cubic feet/minute}$

• 4 cups per second: $4 \, \text{cups/second} \times 0.5013018 \, \left( \frac{\text{cubic feet}}{\text{cup} \times \text{second}} \right) \times 60 \, (\text{seconds/minute}) = 2.0052072 \text{ cubic feet/minute}$

Practical Applications:

• Fire Hose: A standard fire hose might have a flow rate of around 400 gallons per minute. Converting to cups per second gives a sense of comparison.
• Kitchen Faucet: A typical kitchen faucet flows at about 2 gallons per minute, which is approximately 32 cups per minute or just over 0.53 cups per second.
• Irrigation Systems: The flow rate in irrigation systems can vary widely but understanding it in cups per second can make the water usage seem more practical for small garden setups.

Using cups per second as a measurement and converting it to cubic feet per minute helps in planning and analyzing various fluid flow scenarios across different applications.